[05 Nov: added “answers”, “epilog”, and “guide to further reading” as described here ]

[ Aug 06: dates have been standardized as MMM YYYY]; see below.]

**If you are interested in some category of these books, I encourage you to look thru the “books added” posts for my commentary when I added those books to the bibliography.**

If you don’t need more bookshelves, you aren’t reading enough. ~ unknown

This page is a complete bibliography, in principle; i.e. every book I mention should be here. In practice, it may not always be up-to-date.

**Finding books by date of entry or latest edit.** If you want to find, for example, the books I entered or edited in June 2008, do a search on “jun 2008”. I have made sure that all the months are 3 letters, and all the years are 4 digits, and if there’s a day, it precedes the month. If you want to find all the entries I touched in 2008, search on “2008]”, where the “]” will skip over dates of publication. I am, in fact, planning a mass edit of the entries, and you should be able to find all the changed entries by searching on DD MMM.

The books are ordered by the last name of the first author. i have included a line showing [relevant subjects, date of latest edit]. i have listed schaum’s outlines (and books in the berkeley physics series) twice, once by author and once by title (i.e. as though schaum’s or berkeley were the author).

In many cases, I reference an old edition; if there is a later edition at the time I posted an entry, I have said so. Occasionally I have explicitly said there is not a later edition (usually because I expected to find one, and didn’t.

What do you want me to do? Stop shooting now and release it as The Five Commandments? ~ Cecil B. de Mille

that’s exactly what i chose to do here!

**Adamson**, Iain. **A General Topology Workbook**. Birkhäuser, 1996.

ISBN 0 8176 3844 X.

[general topology; 10 Nov 2008]

Upper division. From the introduction: “This book has grown from my attempts to provide a self-learning introduction to general topology for several generations of students….” Answers. Guide to further reading.

**Ashley**, Holt. **Engineering Analysis of Flight Vehicles** Dover 1992 (1974).

ISBN 0 486 67213 1

[aeronautical engineering; 21 Jun 2008]

This has more detail about the coordinate systems. It includes rocket launches and re-entry into the atmosphere.

**Atkinson**, A.C. ** Plots, Transformations and Regression**. Oxford Science Publications, reprinted 1988.

ISBN 0 19 853359 4.

[regression; 13 Aug 2012]

This is devoted to detecting outliers (i.e. using single deletion statistics) and to transformations of the variables. It looks like an excellent supplement to Draper and Smith. Text. Epilog.

**Bartholomew**, David J.; **Steele**, Fiona; **Moustaki**, Irini, & **Galbraith**, Jane I.; **The Analysis and Interpretation of Multivariate Data for Social Scientists**; Chapman & Hall / crc, 2002.

ISBN 1 58488 295

[multivariate statistics, principal components / factor analysis, PCA / FA; jan 2008]

**Basilevsky**, Alexander **Statistical Factor Analysis and Related Methods.** Wiley-Interscience, 1994.

ISBN 0 471 57082 6

[multivariate statistics, factor analysis, principal components, time series; 21 Jun 2008]

I’ve only skimmed this book. It looks like an attempt to apply modern statistical analysis to factor analysis and principal components. I was hoping it would provide some background for Makinowski’s treatment of noise in factor analysis, and I think it will.

**Bate**, Roger P.; **Mueller**, Donald D.; **White**, Jerry E.. **Fundamentals of Astrodynamics.** Dover, 1971.

ISBN 0 486 60061 0

[orbital mechanics, 5 Nov 2008]

This is where I first played with orbital mechanics. It was good for mucking about with the parameters of an elliptical orbit. It has some fun examples. Answers.

**Belsley**, David A. **Kuh**, Edwin & **Welsch**, Roy E.; **Regression Diagnostics**; John Wiley & Sons, 1980.

ISBN 0 471 05856 4

[Regression, diagnostics, SVD, 5 Nov 2008]

This is the book where I first saw the value of the singular value decomposition, no pun intended.I think this is “the book” on regression diagnostics. All the subsequent treatments of regression diagnostics point back to this- and that’s exactly why I bought it.It discusses two general diagnostics: The effect of deleting a single observation, and checking for multicollinearity.The chapter on multicollinearity is flawed by a poor example. For one example they use a data matrix which is exactly multicollinear: its 5th column is exactly twice its 4th column. Although they observe that its smallest singular value must be 0, they compute – and use! – a value of 1.3 x 10^-12 for the smallest singular value. to my mind such a result serves to say that “results this small should be treated as zero”.In contrast, they do the SVD as mathematicians do, with u and v orthogonal. I might say they kept their eye on the ball, but hit the umpire with the bat.Overall, it is a very worthwhile book, and suspect that I can get more out of rereading it. Epilog.

**Bequette**, B. Wayne. **Process Control: Modeling, Design, and Simulation.** Prentice Hall, 2003.

ISBN 0 13 353640 8.

[controls: classical & modern, ChE, continuous; 5 Nov 2008]

This is a wonderful overview. Don’t misunderstand: this is a typical “you can’t cover all this in one semester” text, but he mentions a whole lot of things, and I want more on just about everything he does. good intro to IMC (internal model control). This is a first course in process control. Matlab. Epilog. Guide to further reading.

**Berkeley Physics Course. Volume 1: Mechanics** **Kittel**, Charles; **Knight**, Walter; **Ruderman**, Malvin A. McGraw Hill, 1965.

[physics, mechanics; 5 Nov 2008]

This freshman text has a fair bit of math in it. In particular, it has the vector equation for acceleration in fixed and rotating frames, for which all of my other references are upper-division books. In general, I look in here for good examples. Answers. Guide to further reading.

**Beyer**, Jinny. **Designing Tesselations.** Contemporary Books 1999;

ISBN 0 8092 2866 1.

[frieze & wallpaper groups; 5 Nov 2008]

this is a rare find. it is written by a woman who designs quilts; she made it her business to learn about symmetry, and to get a couple of mathematicians to help her out. this is a visually magnificent and mathematically accurate presentation of all the wallpaper groups (and the frieze groups). Answers.

**Biggs**, Norman L.; **Lloyd**, E. Keith; **Wilson**, Robin J. **Graph Theory 1736–1936.**

ISBN 0 19 853901 0.

[graph theory; 5 Nov 2008]

This seems a very gentle introduction, although it does have proofs. It’s a collection of the original papers about graph theory – translated into english, with substantial commentary before each. Epilog.

**Blakelock**, John H. ** Automatic Control of Aircraft and Missiles. **Wiley-Interscience, 1991 (2nd ed.).

ISBN 978 0 471 50651 5.

[controls, mostly classical but not all; 4 May 2008]

This looks like it’s right at my level: I know the tools, but I’d be happy to follow someone through the analysis of a complex system.

**Bloch**, Ethan D. **A First Course in Geometric Topology and Differential Geometry.** Birkhauser 1997;

ISBN 0 8176 3840 7.

[topology, geometry; 5 Nov 2008]

upper division mathematics. it is about 3 kinds of structure on surfaces: topological, simplicial, and differential. if you’re like me, you’ve seen each of these structures, but never together. Answers. Guide to further reading.

**Bohm**, David. **Quantum Theory.** Dover, 1989.

ISBN 0 486 65969 0.

[quantum mechanics; 4 May 2008]

The story is that Bohm set out to write a text which would demolish “hidden variable” theories, and ended up their strongest supporter. I bought it because he was the author.

**Bollobas**, Bela. **Modern Graph Theory.** Springer, corrected printing 2002.

ISBN 0 387 98488 7.

[graph theory; 5 Nov 2008]

“Graduate Texts in Mathematics”. I haven’t worked thru it yet, but its first two chapters look spectacular, and it has lots of exercises. The first chapter is an introductory overview, possible because we can get powerful theorems early on. The second chapter is a delightful looking digression on electrical networks and subdivisions of rectangles. Guide to further reading.

**Bondy**, J.A. and **Murty**, U.S.R. **Graph Theory with Applications.** North Holland, 1976.

ISBN 0 444 19451 7.

[graph theory; 5 Nov 2008]

This is the old classic. Every chapter ends with applications. Just looking thu it makes me want to curl up and work thru it. Epilog. Answers.

**Bondy**, J.A. and **Murty**, U.S.R. **Graph Theory.** Springer, 2008.

ISBN 978 1 84628 969 9.

[graph theory; 5 Nov 2008]

“Graduate Texts in Mathematics”. Looks as though it could be used as an undergraduate text, or as a second-year graduate text getting one ready for research; just decide how far into each chapter to read. Epilog. Guide to further reading.

**Boole**, George. **An Investigation of The laws of Thought….** Dover publication of the 1854 edition.

[logic; 3 Mar 2010]

I think it’s fair to say that he started it all, and Boolean algebra is named in his honor. Of course, he predates set theory, but published almost simultaneously with De Morgan. Reading Boole’s examples made me understand how so many theology students could become mathematicians — talk about convoluted! But that’s part of what he was trying to do — extract the key results out of convoluted theological arguments. Plenty of examples; computational algorithms, of course — but they are not what we would do today.

**Brereton**, Richard G. **Chemometrics: Data Analysis for the Laboratory & Chemical Plant;** John Wiley & Sons, ltd., 2003.

ISBN 0 471 48978 6

[multivariate statistics, principal components / factor analysis, PCA / FA; 22 Aug 2008]

Lots of data available once you buy the book. I view this as a workbook: figure the stuff out elsewhere, but practice it here. He has lots of graphics, too.

**Brown**, H. Jackson. **Life’s Little Instruction Book**; Rutledge Hill Press, 1991;

ISBN 1 55853 102 5

[Not math, 22 dec 2007]

A one-of-a-kind. Serious advice and frivolous advice, if that makes any sense. (Some of its advice is specific forms of “don’t take yourself too seriously”.)

**Bryson**, Arthur E., Jr. ** Contol of Spacecraft and Aircraft. **Princeton University, 1994.

ISBN 0 691 08782 2.

[controls, mostly modern and continuous; 4 May 2008]

By a master of the field, but i’ll try it after Blakelock, which uses mostly classical methods.

**Burrus**, C. Sidney. **Gopinath**, Ramesh A.; **Guo**, Haitao. **Introduction to Wavelets and Wavelet Transforms, A Primer.** Prentice Hall, 1998.

ISBN 0 13 489600 9.

[wavelets; 20 Dec 2009]

Finally! A book that shows me how to compute things properly. “We tried to present this in a way that is accessible to the engineer, scientist, and applied mathematician…” I think it is accessible to a technical undergraduate, but I could be underestimating the mathematics. Guide to further reading. No answers as such, but MATLAB code and pictures drawn using it.

**Cabarga**, Leslie. **The Designer’s Guide to Color Combinations**. North Light Books, 1999.

ISBN 0-89134-857-3.

[art; 08 Feb 2009]

Starts with actual color schemes from Europe / U.S., and plays with them.

**Cabarga**, Leslie. **The Designer’s Guide to Global Color Combinations**. HOW Design Books, 2001.

ISBN 1-58180-195-5.

[art; 08 Feb 2009]

Starts with actual color schemes from around the world, and plays with them.

**Carroll**, Lewis. (Dodgson, C.L.) **Lewis Carroll’s Symbolic Logic.** Clarkson N. Potter Inc., 1986 (2nd paperback ed.)

ISBN 0 517 53363 4.

[logic; 3 Mar 2010]

One good reason for publishing this book under the pseudonym rather than under the real name is that Lewis Carroll brought his considerable narrative skills to the puzzles which illustrate his points. The book includes a short discussion of the upheaval in logic as it transitioned from classical, on through the work particularly of Boole and De Morgan, and into modern symbolic logic. He presents graphical techniques for solving puzzles. Lots of answers.

**Carstens**, James R. **Automatic Control Systems and Components.** Prentice Hall, 1990.

ISBN 0 13 054297 0

[controls: classical EE continuous; 5 Nov 2008]

This book caught my eye when I saw that he had transfer functions for specific devices used in control systems; it won my heart when he distinguished between the parameters in his math models and the parameters to be found in catalogs! This is an introductory and hands-on book. Answers.

**Chinn**, W.G. and **Steenrod**, **First Concepts of Topology**. L.W. Singer & Random House1966.

[general topology, algebraic topology; 10 Nov 2008]

From the introduction: “… to show how topology arose, develop a few of its elements, and present some of its simpler applications…. Our presentation … will be centered around two existence theorems… {in one and two dimensions respectively}.” Answers. Guide to further reading (3 books). Epilog.

**Christensen**, Ronald. **Advanced Linear Modeling;** Springer, 2nd ed., 2001.

ISBN 0 387 95296 9.

[multivariate statistical inference, PCA / FA; 5 Nov 2008]

A follow-up to his “plane answers “: “multivariate, time series, and spatial data; nonparametric regression and response surface maximization”. and he does have a chapter on PCA / FA. Guide to further reading – at the beginning of chapters.

**Christensen**, Ronald. **Plane Answers to Complex Questions;** Springer, 2nd ed., 1996.

ISBN 0 387 94767 1

[statistical inference; 20 Feb 2008]

“This book is about linear models. (i.e.) linear in the parameters. The applications. will generally fall into. Regression Analysis and Analysis of Variance.” i bought this book specifically because i liked his companion volume (“advanced. “).this is essentially his text for a required graduate course in statistics. (“plane”, of course, is a play on “plain” and linear.)

**Color Harmony Workbook**, Rockport Publishers, Inc., 1999.

ISBN 1-56496-435-3.

[art; 08 Feb 2009]

Color schemes for artists or decorators.

**Cohen**, Jozef B. **Visual Color and Color Mixture**. University of Illinois, 2001.

ISBN 0-252–02549-0.

[color theory; 08 Feb 2009]

From the introduction: “… he sets out to reformulate the algebra of color matching and color mixing.”

**Copi**, Irving M. & **Cohen**, Carl. **Introduction to Logic.** Pearson / Prentice Hall, 2009 (13th ed).

ISBN 0 13 614139 6.

[logic, 25 Mar 2010]

An interesting-looking solid text, which contains, among other things, an excellent discussion of material implication. Answers.

**Copi**, Irving M. **Symbolic Logic.** Macmillan, 1966 (2nd ed).

[logic; 3 Mar 2010]

I enjoyed this enough to order the most recent edition of his “Introduction to Logic” — I liked the language, the organization, and the examples in this book. I understand that this book is considered out of date, but I have no idea what should replace it. Selected answers.

**Cox**, David; **Little**, John; **O’Shea**, Donal. **Ideals, Varieties, and Algorithms** Springer, 1992.

ISBN 0 387 97847 X

[algebraic geometry; 21 Jun 2008]

An upper division introduction. I bought it because I didn’t know what a Groebner basis was. There is a 3rd edition, but I have heard that there are many typos, although errata are available.

**Daubechies**, Ingrid. **Ten Lectures on Wavelets.** Society for Industrial & Applied Mathematics, 1992;

ISBN 0 89871 274 2.

[wavelets; 20 Dec 2009]

This is one of “the books”, an essential reference for the mathematics of wavelets. She is now famous for early work on wavelets. She is a fine expositor, and although I often do not understand what she is doing, she explains why she is doing it – and that is a tremendous help for reading other books.

**Davis**, John C. **Statistics & Data Analysis in Geology;** John Wiley & sons, (3rd ed.) 2002.

ISBN 0 471 17275 8

[multivariate statistics, principal components / factor analysis, PCA / FA; 5 Nov 2008]

the PCA / FA stuff here is only one of five chapters (i’m not counting the introduction). just from the one chapter, i know i like the author’s style, and i’d like to go thru the whole book someday. in particular, to see “kridging”; more generally, of course, to see all the mathematics he’s got here.this is a probably an upper-division book; it begins with elementary statistics and matrix algebra, but i suspect it would be best if those were review material for any reader; i won’t know whether the book requires much geology until i read it. the final three chapters are sequential, spatial, and multivariate data, respectively. Guide to further reading.

**De Grandis**, Luigina. **Theory and Use of Color**. Harry N. Abrams Inc., 1986.

ISBN 0-8109-2317-3.

[color theory; 08 Feb 2009]

A small but wide-ranging exploration of color theory.

**Dirac**, P.A.M. **The Principles of Quantum Mechanics.** 4th ed. revised. Oxford University Press, 1958.

[quantum mechanics; 31 Mar 2008]

This is Dirac. What else need i say? “Read the masters.”

**DiStefano**, Joseph J., **Stubberud**, Allen R., **Williams**, Ivan J.; **Schaum’s Outlines: Feedback and Control Systems.** McGraw-Hill, 1990 (2nd ed.).

ISBN 0 07 017052 5.

[controls: mostly classical, EE, continuous & discrete; 5 Nov 2008]

8 of its chapters are analysis / design using nyquist / root-locus / nichols / bode. This is where I find out what Mathematica® can do, and what it struggles with: “just the facts, ma’am.” This is a first course in process control; no significant computer software. Answers.

**Draper**, Norman R. and **Smith**, Harry. **Applied Regression Aanalysis.** Wiley-Interscience, 1998 (3rd ed).

[regression; 5 Nov 2008]

This is probably “the” book on general regression analysis; in contrast to “econometrics”, this considers experimental data, and there are some significant differences. In addition, he has a fuller treatment of diagnostics than, say, Ramanathan. There is a data disk. Answers.

**Dugundji**, James. **Topology**. Allyn & Bacon, 1966.

[general topology; 10 Nov 2008]

Reference and text. If they reprint it, i’ll call it a classic. Some homotopy theory.

**Ellis**, George. **Control System Design Guide.** Elsevier, 2004, 3rd ed.

ISBN 0 12 237461 4.

[controls: classical, EE, mostly continuous; 5 Nov 2008]

From an introduction, to motion and position control. I call it EE but he uses primarily PID. He was recommended for his treatment of “observers” in an otherwise classical EE treatment of control systems.This is a second course in controls; proprietary software, only for PCs. Answers.

**Exner**, George R. **An Accompaniement to Higher Mathematics.** Springer, 1996. (corrected 3rd printing, 1999).

ISBN 0 387 94617 9.

[logic, proofs; 3 Mar 2010]

“Undergraduate Texts in Mathematics”. This is a marvelous introduction to how to read a mathematics book, and how to approach the construction of proofs. I think it is an excellent introduction to or companion to Hummel. Selected answers.

**Feynman**, Richard P.; **Leighton**, Robert B.; **Sands**, Matthew. **The Feynman Lectures on Physics I: Mainly Mechanics, Radiation, and Heat.** Addison-Wesley, 1966;

[freshman physics; 08 Feb 2009]

This is Feynman. What else need I say? As its title suggests, this is a wide-ranging first-year text. More so than the other two volumes, this is one you can pick up in order to read two or three chapters on one topic.

**Feynman**, Richard P.; **Leighton**, Robert B.; **Sands**, Matthew. **The Feynman Lectures on Physics III: Quantum Mechanics.** Addison-Wesley, 1965;

[quantum mechanics; 31 Mar 2008]

This is Feynman. What else need i say? No, it’s not easy reading, especially for college sophomores, even Caltech sophomores, I daresay. But it’s extraordinary reading. He didn’t do things the way most people did.

**Firby**, Peter A. and **Gardiner**, Cyril F.;** Surface Topology.** Horwood Publishing, 2001 (3rd ed.)

ISBN 1 898563 77 2.

[surfaces, geometric topology; 4 May 2008]

In addition to introducing surfaces, it includes maps, graphs, tesselations, and surfaces with boundaries.

**Foley**, James D.; **van Dam**, Andries; **Feiner**, Steven K.; **Hughes**, John F. **Computer Graphics: Principles and Practice (2nd ed. in C)**. Addison-Wesley, 1997 (reprinted with corrections).

ISBN 0-201-84840-6.

[computer graphics; 08 Feb 2009]

This is said to be quite out of date, but it’s what I have.

**Fortner**, Brand; **Meyer**, Theodore E. **Number by Colors**. Springer (Telos), 1997.

ISBN 0-387-94685-3.

[color theory; 08 Feb 2009]

Culminates with choosing color schemes for representing data, but it is a magnificent overview of color theory basics.

**Franklin**, Gene F.; **Powell**, J. David; **Emami-Naeni**, Abbas; **Feedback Control of Dynamic Systems.** Pearson Prentice Hall, 2006 (5th ed).

ISBN 0 13 149930 0

[controls: mostly classical, EE, mostly continuous; 9 mar 2008]

This is a well-respected senior year text, and I enjoy it. It has one long state space chapter. This is a first course. Matlab.

**Fraser**, Bruce; **Murphy**, Chris; & **Bunting**, Fred. **Real World Color Management**. Peachpit Press, 2003. There is a 2nd edition, 2004.

ISBN 0 201 77340 6.

[color reproduction, 24 Feb 2010]

Everything you ever wanted to know about ICC profiles. Both Mac and Windows. In fact, the 1st edition includes OS 9; one hopes it has more recent OS X material in the 2nd edition.

**Frazier**, Michael W. **An Introduction to Wavelets Through Linear Algebra.** Springer, 1999.

ISBN 0 387 98639 1.

[wavelets, linear algebra; 20 Dec 2009]

“Undergraduate Texts in Mathematics”. Requires only linear algebra and some calculus; a “topics” course for math majors. I had no idea that the Discrete Fourier Transform was a change-of-basis! This is where I began to learn the theory of computing wavelets, although it didn’t take me far enough. Guide to further reading.

**Freed**, Daniel S. and **Uhlenbeck**, Karen K.; **Instantons and Four-Manifolds.** Springer, 1984.

ISBN 0 387 96036 8.

[topology, geometry; 4 feb 2008]

from the first paragraph of the preface: “This book is the outcome of a seminar. to go through a proof of Simon Donaldson’s Theorem. the nonsmoothability of certain topological four-manifolds. by studying the solution space of . the Yang-Mills equations. “in other words, this is a highly advanced book. but who could resist the title? certainly not me.

**Fulton**, William. **Algebraic Topology: A First Course.** Springer, 1995.

ISBN 0 387 94327 7.

[algebraic topology, 5 Nov 2008]

“Graduate Texts in Mathematics”. “To achieve this variety at an elementary level, we have looked at the first nontrivial instances of most of these notions: the first homology group, the first De Rham group, the first Cech group, etc. We have tried to do this without assuming a graduate-level knowledge or sophistication.” Answers.

**Gensler**, Harry J. **Introduction to Logic.** Routledge, 2010 (2nd ed).

ISBN 0 41599651 8.

[logic, 25 Mar 2010]

An interesting-looking relatively informal text, which begins with syllogistic reasoning. Further reading. Answers.

**Giorgianni**, Edward J.& **Madden**, Thomas E. **Digital Color Management: Encoding Solutions**. Wiley, 2008 (2nd Ed.).

ISBN 978 0 470 51244 9.

[color reproduction, 24 Feb 2010]

This is a marvelous book: clearly written and beautifully illustrated. It’s probably too soon to say it, but I already think this is one of “the” books. If ICC profiles don’t do it for you, the clear and detailed explanations here may help you figure out what’s wrong. And even if ICC profiles do what you need, this book may deepen your understanding of color management.

**Glassner**, Andrew S.;**Principles of Digital Image Synthesis**. Morgan Kaufmann Publishers, 1995 (two volumes).

ISBN 1 55860 276 3.

[color theory, computer graphics; 18 Nov 2009]

Textbook. “My purpose here is to discuss the underlying principles – the ideas that have slowly emerged as the core of our discipline. There are three such basic fields: human vision, signal processing, and physics.” Further readings at the ends of chapters.

**Goldstein**, Herbert. **Classical Mechanics.** Addison-Wesley, 1980.

ISBN 0 201 02918 9.

[physics, classical mechanics; 5 Nov 2008]

There is a 3rd edition (2001). I own the 1st edition, but I am citing the 2nd because i like his expanded treatment of rotations. I have not read the 2nd ediiton anywhere near as throughly as the 1st; I have heard that the 2nd edition may be less accurate than the 3rd. Guide to further reading.

**Golub**, Gene H. & **van Loan**, Charles F.; **Matrix computations**; Johns Hopkins, (2nd ed.) 1989.

ISBN 0 8018 3739 1

[linear algebra, SVD, numerical analysis; dec 2007]

There is a 3rd edition, 1996. Reference book with discussion. A nuts and bolts book. Here are the algorithms for computing things.

**Gonzalez**, Rafael C. & **Woods**, Richard E. **Digital Image Processing**. Pearson Prentice **Hall**, 2008 (3rd edition).

ISBN 0-13-168728-X.

[image processing; 2 Mar 2009]

A very well-reviewed recent textbook in the field.

**Green**, Paul E. **Analyzing Multivariate Data.** The Dryden Press, 1978;

ISBN 0 03 020786 X.

[principal components, factor analysis; 31 Mar 2008]

It contains more material, but that’s what I’ve looked at. This is a friend’s book; it is out of print but I may go looking for a copy. His summary of alternatives matches the one in my head, and he is unusual in discussing alternatives. Oh, 1978 makes this the earliest reference I’ve seen to use the SVD outside of mathematics proper.

**Greenberg**, Marvin Jay. **Euclidean and Non-Euclidean Geometries.** W.H.Freeman & Co., (2nd Ed) 1980.

ISBN 0 7167 1103 6.

[euclidean & non-euclidean geometry; 5 Nov 2008]

this would be my first choice if decide to work through the subject. it has a comfortable writing style despite being a math book. this one i have only browsed, but it reads easier than martin’s “foundations”. oh, it’s intended as lower-division mathmatics. hey, i’m not too proud to read it – once upon a time, yes, but not any more. Guide to further reading.

**Griffiths**, David. **Introduction to Elementary Particles.** Wiley-VCH, 1987.

ISBN 0 471 60386 3.

[elementary particle physics; 5 Nov 2008]

An upper-division text. I really like his style, as well as his apparent precision. For an example of style: “In general, when you hear a physicist invoke the uncertainty principle, keep a hand on your wallet.” Guide to further reading.

**Guillemin**, Victor. **Pollack**, Alan. **Differential Topology**. Prentice Hall, 1976.

ISBN 0 13 212605 2.

[differential topology; 20 Dec 2008]

Graduate / advanced undergraduate. A “leisurely first year graduate course”, predominantly accessible to juniors and seniors. Guide to further reading.

**Hall**, Brian C. **Lie Groups, Lie Algebras, and Representations: An Elementary Introduction.** Springer, 2003.

ISBN 0 387 40122 9.

[lie groups, lie algebras, representations; 5 Nov 2008]

This is a math book (for this subject, there are a lot of physics books, too). It is readable: it discusses its theorems and definiitons. It is primarily about matrix groups rather than lie groups, but it has lie groups in the appendices. As its title promises, it also treats lie algebras, and representations. This is one of my favorite introductions to the subject. Guide to further reading.

**Halmos, Paul R. and Givant, Steven.** **Logic as Algebra**. Mathematical Association of America, 1998.

ISBN 0 88385 327 2.

[logic; 3 Mar 2010]

“Dolciani Mathematical Exposition”. A short introduction to the use of abstract algebra applied to logic. I particularly enjoyed their discussion of Aristotle’s syllogisms — even though I can’t reconcile their list of the syllogisms with either of the two lists I trust! This seems a comparatively minor point considering the book as a whole.

**Halmos**, Paul R. **Algebraic Logic.** Chelsea, 1962.

[logic, abstract algebra; 3 Mar 2010]

A collection of Halmos’ papers; at this stage, only the first is accessible to me — and it requires being comfortable with modern algebra, in particular with rings. I’ll call it advanced undergraduate, more likely graduate level.

**Halmos**, Paul R. **Finite-dimensional Vector Spaces**; Springer, 1958.

ISBN 0 387 90093 4

[linear algebra; 5 Nov 2008]

A classic. Doesn’t have the SVD. It does have the spectral decomposition (“the main theorem of this book”), but you also want to see the section on functions of transformations 10 pages later. If you want to practice proving things, buy this. If you want to nail down finite-dimensional linear algebra before doing hilbert spaces or functional analysis, buy this. Epilog.

**Harman**, Harry H. **Modern factor analysis;** University of Chicago, (3rd ed. revised), 1976.

ISBN 0 226 31652 1

[Factor analysis ( PCA / FA); 5 Nov 2008]

It’s a fine book, readable and detailed. That I am deeply troubled by classical factor analysis is irrelevant. Thanks to this book, I know exactly what I’m rejecting. OTOH it’s been 30 years, and I have no idea what a 4th edition would say. Maybe he would agree with me, and show me how factor analysis should be made consistent with the SVD.There’s also a lot of rotation material in here that may be very useful for PCA. I’d have to say that this one of “the books”. Answers.

**Hartshorne**, Robin. **Geometry: Euclid and Beyond.** Springer, 2000;

ISBN 0 387 98650 2.

[euclidean & noneuclidean geometry; 3 feb 2008]

and more. a fairly wide-ranging text, upper-division mathematics. i wouldn’t pick it up first, but i’m glad to have it. i would probably go through this after greenberg and after martin, for all the auxiliary material (e.g. field extensions).

**Heath**, Sir Thomas L. **Euclid: the Thirteen Books of the Elements.** Dover, 1956 (2nd Ed.);

ISBN 0 486 60088 2, 60089 0, and 60090 4.

[geometry; 3 feb 2008]

i daresay this is almost the definition of geometry. what makes these books extaordinarily informative is the commentary by Heath. you should have this handy whenever you read a modern book about euclidean geometry. in fact, if you have this book by your side when you’re taking high school geometry, your geometry teacher will either love you or hate you.

**Hirsch**, Morris W. **Differential Topology**. Springer, 1991 (corrected 4th printing).

ISBN 0 387 90148 5.

[differential topology; 20 Dec 2008]

“Graduate Texts in Mathematics”. The discussion and remarks throughout the text are worth reading first, in my opinion. Uses Morse Theory to get the classification theorem for surfaces.

**Hirsch**, Morris W. **Smale**, Stephen; and **Devaney**, Robert L. **Differential Equations, Dynamical Systems & An Introduction to Chaos.** Elsevier Academic Press, 2004 (2nd ed).

ISBN 0 12 349703 5.

[applied linear algebra, differential equations, dynamical systems, discrete systems, chaos; 5 Nov 2008]

This is a far different book from the 1st edition. It looks like a rather fine introduction to the first edition, and a good supply of examples. Guide to further reading.

**Hirsch**, Morris W. **Smale**, Stephen. **Differential Equations, Dynamical Systems, and Linear Algebra**, Academic Press, 1974.

ISBN 0 12 349550 4.

[applied linear algebra, differential equations, dynamical systems; 5 Nov 2008]

This is one of “the” books, even if it is out of print! (And Smale is a Fields medallist.) And yet, I find their examples a lot more informative than their theorems. Epilog. Answers.

**Hubbard**, Barbara Burke. **The World According to Wavelets.** A.K. Peters, 1998.

ISBN 1 56881 072 5.

[wavelets; 20 Dec 2009]

This is an extraordinary semi-popular introduction to wavelets and the underlying mathematics. It is written on two levels. Part I is written in English, with some graphs; Part II provides the equations and more detail. Part I is at a “popular” level; Part II pretty much requires a technical background, but might serve to whet someone’s appetite for mathematics or applied mathematics.

**Hummel**, Kenneth E. **Introductory Concepts for Abstract Mathematics.** Chapman and Hall / CRC, 2000.

ISBN 1 58488 134 8.

[logic, proofs; 3 Mar 2010]

This is a marvelous introduction to formal logic and to the construction of proofs. I think it is an excellent companion to or follow-up to Exner. Selected answers.

**Hunt**, R.W.G. **The Reproduction of Colour**. Wiley, 2004. 6th Edition.

ISBN 0 470 02425 9.

[color reproduction, 24 Feb 2010]

Latest edition of the classic encyclopedic reference.

**Johnston**, J. **Econometric Methods.** McGraw-Hill, 1972 (2nd ed).

[regression, econometrics; 4 May 2008]

There is a 4th edition. This is my reference book. For example, did you know that you could impose a linear constraint on the coefficients and still solve the estimation problem? Well, you can, and he has the solution, among many others. You might check to see if the 4th contains this specific problem.

**Jolliffe**, I. T. **Principal Component Analysis;** Springer, (2nd ed.) 2002.

ISBN 0 387 95442 2

[Principal components analysis, PCA / FA, dec 2007]

One of “the books”. I was very disappointed that he only had 3 examples that could be confirmed. Nevertheless, he has a lot of discussion of results of PCA, and I should return there to learn about interpretation. I suspect that if you do PCA professionally, you need to own this book.

**Joseph**, H.W.B. **An Introduction to Logic.** Oxford, 1916 (2nd ed. reprinted 1966).

[logic; 3 Mar 2010]

This is an old-school logic book. First published in 1906, it may well represent the pinnacle of traditional logic.

**Kailath**, Thomas. **Linear Systems.** Prentice Hall, 1980.

ISBN 0 13 536961 4

[linear algebra; controls: modern, EE, continuous & discrete; 5 Nov 2008]

For my experience, there isn’t a lot of linear algebra here, but what there is being used thoroughly. I think it’s a great look at modern applied linear algebra, which is what it was recommended to me as. Not a first book on the subject (neither linear algebra nor state space). Epilog. Guide to further reading.

**Kasriel**, Robert H. **Undergraduate Topology**. Krieger, 1977.

ISBN 0 88275 444 0.

[general topology, metric spaces, euclidean spaces; 10 Nov 2008]

From R and R^n to metric spaces and then to topology. From the preface: “… it is to {the graduate student’s} advantage to have taken a course in general topology before beginning his graduate program…. essentially self-contained except for elementary calculus.”

**Kelley**, J. L. **General Topology**. Springer, 1975 (was van Nostrand, 1955).

[general topology; 10 Nov 2008]

Graduate Text in Mathematics. Classic reference and text. From the preface: “… a systematic exposition of the part of general topology which has proven useful in several branches of mathematics.” Epilog and guide to further reading – in some of the exercises!

**Kessler**, Margaret. **Color harmony in Your Paintings**. North Light Books, 2004.

ISBN 1 58180 401 6.

[art, color combinations; 18 Nov 2009]

Choosing a palette, mixing other colors, and selecting color combinations for art.

**Kittel**, Charles; **Knight**, Walter; **Ruderman**, Malvin A. **Mechanics (Berkeley Physics Course – Volume 1)** McGraw Hill, 1965.

[physics, mechanics; 5 Nov 2008]

This freshman text has a fair bit of math in it. In particular, it has the vector equation for acceleration in fixed and rotating frames, for which all of my other references are upper-division books. In general, I look in here for good examples. Answers. Guide to further reading.

**Kuipers**, Jack B. **Quaternions and Rotation Sequences. **Princeton University, 1999.

ISBN 0 691 05872 5.

[linear algebra, quaternions; 4 May 2008]

The book suffers from a lack of exercises, but it is still a marvelous introducton to rotations, using both linear algebra and quaternions.

**Kuno**, Naomi. **Colorscape**. Collins Design, 2008.

ISBN 0-06-121011-0.

[color combinations; 2 Mar 2009]

A collection of swatches, in all sorts of categories. Beautiful colors, with CMYK specifications.

**Lederman**, Leon; with Teresi, Dick. **The God Particle.** Bantam Doubleday Dell, 1993.

ISBN 0 385 31211 3.

[popular physics, particle physics; 25 feb 2008]

This is a popular book, and I had forgotten just how much fun it was to read. Even if you’ve seen The Standard Model of particles, you may enjoy this book; and if you don’t know the standard model, this is a fine place to start. (The title refers to the Higgs boson; it was that or the god-damned particle, he said.)

**Lee**, John M. **Introduction to Topological Manifolds.** Springer, 2000.

ISBN 0 387 95026 5.

[topological manifolds, geometric topology; 4 May 2008]

“This book is an introduction to manifolds at the beginning graduate level.”

**Lindeman**, Richard H. **Merenda**, Peter F. & **Gold**, Ruth Z.; **Introduction to Bivariate & Multivariate Analysis;** Scott, Foresman & Co., 1980.

ISBN 0 673 15099 2

[Principal components analysis, PCA / FA; jan 2008]

A decent survey book. It filled a hole in my library, and there were many holes back then.

**Lipschutz**, S. **Schaum’s Outline Series: Theory & Problems of Linear Algebra**; McGraw-Hill; 1968. So old, my copy has no

ISBN.

[linear algebra, 5 Nov 2008]

The latest edition has a co-author, so I wonder what changes have been made.Chapter 7 if my edition includes the clearest explanation I’ve seen of change-of-basis. Answers.

**Luyben**, William L. **Process Modeling, Simulation, and Control for Chemical Engineers.** McGraw-Hill, 1990 (2nd ed.).

ISBN 0 07 039159 9.

[controls: classical, ChE, mostly continuous; 9 mar 2008]

I like Luyben’s style. In content, I can’t see a whole lot of difference between this and Stephanopoulos; except this is a little more modern. Multiple chapters about multivariate and about digital.This is a first course in process control; uses Fortran rather than Matlab.

**Malacara**, Daniel. **Color Vision and Colorimetry, Theory and applications**. SPIE Press, 2002.

ISBN 0 8194 4228 3.

[color theory; 18 Nov 2009]

Monograph (i.e. no exercises.) This is a marvelous introduction to the rather overwhelming Wyszecki & Stiles. General References at the end of the book; very detailed references for each chapter.

**Malinowski**, Edmund R. **Factor Analysis in Chemistry;** Wiley-Interscience, (3rd ed.) 2002.

ISBN 0 471 13479 1

[Principal components analysis, PCA / FA; 20 Feb 2008]

I believe this is the man who introduced PCA / FA into chemistry a few decades ago. Like too much else, many references to the literature, and rather few self-contained examples. His approach to target testing may be the standard, but there is an easier way to do it. His language is sometimes imprecise, but I can forgive him: I catch myself saying the same careless things.

**Marion**, Jerry B. **Classical Dynamics of Particles and Systems.** Academic Press, 1965.

[physics, classical mechanics; 5 Nov 2008]

There is a 5th edition; it’s not cheap. I used this as my reference for vectors when I was an undergraduate. Answers.

**Martin**, George. **The Foundations of Geometry and the Non-Euclidean Plane.** Springer 1975 (2nd printing 1986);

ISBN 0 387 90636 3.

[euclidean & non-euclidean geometry; 5 Nov 2008]

upper-division. what i love about this book is its list of 26 equivalents to euclid’s parallel postulate. nevertheless, a fairly dry book. i would probably go through it after i had done greenberg. (i’ve more than browsed this book, but not by much. i read Martin in preference to Greenberg because this looked more like a math book. Silly rabbit.) Answers.

**Martin**, George. **Transformation Geometry.** Springer 1982.

ISBN 0 387 90636 3.

[geometry, symmetry, frieze & wallpaper groups; 5 Nov 2008]

introductory, requiring no college math. the mathematics of frieze and wallpaper groups. i’ve played with them, but i want to work through this book. Answers.

**Massey**, William S. **A Basic Course in Algebraic Topology. **Springer, 1991.

ISBN 0 387 97430 X.

[algebraic topology, 8 Aug 2008]

“Graduate Texts in Mathematics”. The first 5 chapters of this appear to coincide with the first 5 chapters of “Algebraic Topology: An Introduction.” In particular, it includes the excellent introduction to universal mappings. OTOH, it has a substantial introduction to the “why?” of homolgy.

**Massey**, William S. **Algebraic Topology: An Introduction.** Harcourt, Brace & World, 1967 (Springer, 1977).

[algebraic topology, 5 Nov 2008]

He is a wonderful author, and I love his style. Both versions of this text have the most readable introduction to universal mappings which I’ve seen. This book covers Surfaces and homotopy; it does not cover homology. Epilog.

**McCarty**, George. **Topology: An Introduction with Application to Topological Groups**. Dover, 1988 (orig 1967).

ISBN 0 486 65633 0.

[general topology, topological groups; 10 Nov 2008]

Upper division. How can I not like a book which says, in an exercise, “… make the assumption that every subgroup in sight is closed.” A very readable book. Guide to further reading. Epilog. (Both at end of chapters.)

**McMahon**, David. **Quantum Mechanics Demystified.** McGraw-Hill, 2006.

ISBN 0 07 145546 9.

[quantum mechanics; 5 Nov 2008]

As i said in a post, the book is marred by typos, but I forgive him: he has some great examples. Spice, if you will, that sends me to Feynman and Dirac. Answers.

**McQuarrie**, Allan D. R. and **Tsai**, Chih-Ling,** Regression and Time Series Model Selection**. World Scientific Press, 1978.

ISBN 981 02 3242 X.

[statistics, regression, time series; 13 Aug 2012]

This book has a whole lot more information than what I extracted for my selection criteria; and it covers tests for more than just OLS regression (e.g. robust regression, wavelets, and time series). Monograph. Epilog.

**Mendenhall**, William and **Scheaffer**, Richard L. ** Mathematical Statistics with Applications**. Duxbury Press, 1973.

ISBN 0 87872 047 2.

[statistics; 13 Aug 2012]

While I know there is a 7th edition, I can only hope that it is as clear and useful as my first edition was. Text. Answers.

**Mermin**, N. David. **Quantum Computer Science, An Introduction.** Cambridge University Press, 2007;

ISBN 978 0 521 87658 2

[quantum mechanics, quantum computing; 31 Mar 2008]

It only just arrived, but it looks spectacular. As I said in happenings 24 March, he gave a fine lecture on quantum spookiness, and I ordered this on the strength of his clarity of exposition.

**Messiah**, Albert. **Quantum Mechanics** Dover, 1999.

ISBN 0 486 40924 4.

[quantum mechanics; 4 May 2008]

Two volumes bound as one. “Simple enough for students yet sufficiently comprehensive to serve as a reference for working physicists. ” I bought it because it was a Dover edition of a well-known book.

**Milnor**, John W. **Morse Theory**. Princeton, 1969 (orig 1963).

ISBN 0 691 08008 9.

[differential topology; 20 Dec 2008]

A compact presentation, but also legendary. I think of it as desert after Hirsch.

**Milnor**, John W. **Topology from the Differentiable Viewpoint**. Princeton, 1997 (orig 1965).

ISBN 0 691 04833 9.

[differential topology; 20 Dec 2008]

Notes on a few selected topics. Legendary might be more appropriate than “a classic”. Brief guide to further reading.

**Morgan**, John and **Tian**, Gang. **Ricci Flow and the Poincare Conjecture.** American Mathematical Society, 2007;

ISBN 0 8218 4328 4

[topology; 4 feb 2008]

this is the proof of the poincare conjecture. i may never understand it, but i couldn’t resist it.

**Munkres**, James R. **Elementary Differential Topology**. Princeton, 1966 (revised ed.).

[differential topology; 20 Dec 2008]

Reference. Proves the “folklore theorems”; culminates in the proof that any smooth manifold has a smooth triangulation.

**Munkres**, James R. **Topology**. Prentice Hall, 2000 (2nd ed).

ISBN 0 13 181629 2.

[general topology, algebraic topology; 10 Nov 2008]

A very well written senior and first-year graduate textbook. Lots of words between the theorems provide lots of motivation. If this isn’t the premier textbook, I’d really like to know what is.

**Naber**, Gregory L. **Topological Methods in Euclidean Spaces**. Dover, 2000.

ISBN 0 486 41452 3.

[algebraic topology, differential topology, euclidean spaces; 10 Nov 2008]

From the preface: “… to persuade students… that the evolution of topology from analysis and geometry was natural and, indeed, inevitable; that the most fruitful concepts and most interesting problems in the subject are still drawn from independent branches of mathematics…. an ambituous agenda of topics has been included….” Guide to further reading. Answers.

**Naylor**, Gillian (editor). **William Morris by himself**. Chartwell Books, 2001.

ISBN 0-7858-1275-X.

[art; 08 Feb 2009]

From the back of the book: “William Morris is the most influential British designer of the last 100 years and this collection combines Morris’s writings and his famous designs for wallpapers, fabrics, tapestries, embroideries, carpets, books and stained-glass.”

**Nievergelt**, Yves. **Wavelets Made Easy**. Birkhäuser, 2001 (2nd printing with corrections).

ISBN 0 8176 4061 4.

[wavelets; 20 Dec 2009]

The first two chapters give us the fast wavelet transform for Haar and Daubechies wavelet coefficients. This is where I did my very first computations in wavelets. The rest of the book looks like the “advanced calculus” of wavelets.

**O’Neill**, Barrett. **Elementary Differential Geometry.** Academic Press, 1997 (2nd Ed);

ISBN 0 12 526745 2.

[differential geometry; 5 Nov 2008]

the first edition revolutionized the teaching of the subject, by introducing differential forms to undergraduates. the prerequisites are multivariate calculus and linear algebra. the 2nd ed. has more material on instrinsic geometry, e.g. more material on the gauss-bonnet theorem. this is one of “the books”. it’s also one of the very small set of which i have deliberately bought a later edition primarily to thank the author for the first edition. Answers. Guide to further reading (two books).

**O’Shea**, Donal. **The Poincare’ Conjecture;** Walker Publishing Co., 2007.

ISBN 0 8027 1532 X

[history of math, topology, geometry; 5 Nov 2008]

“This book is about a single problem. Formulated by a brilliant French mathematician, Henri Poincare, over one hundred years ago. ” a pleasant mix of biography and history, and it mentions some fascinating mathematics, but – quite appropriately – it barely scratches the surface. i want more, but this is a good introduction. Guide to further reading.

**Pedoe**, Dan. **Geometry and the Visual Arts.** Dover, 1983;

ISBN 0 486 24458 X

[geometry; 3 feb 2008]

an introductory book. the first three of its nine chapters are devoted to vitruvius, durer, and da Vinci. not your usual geometry book. not a text but a chance to play with geometry as found in art. i think you better have had high school geometry; at least know what a straightedge-and-compass construction is. from the preface: “This book can be taken by the general reader as a diversion into the by-ways of history, with glimpses of the enormous importance of geometry to such people as. ”

**Perko**, Lawrence. **Differential Equations and Dynamical Systems.** Springer, 2001 (3rd ed).

ISBN 0 387 95116 4

[applied linear algebra, differential equations, dynamical systems; 25 May 2008]

I really like this book: it’s readable, it’s got lots of examples and pictures, and it covers a lot of ground. It is an upper division / beginning graduate math book.

**Press**, William H.; **Teukolsky**, Saul A.; **Vetterling**, William T. & **Flannery**, Brian P. **Numerical Recipes in C**; Cambridge University; (2nd ed.) 1992.

ISBN 0 521 43108 5

[Numerical analysis, dec 2007]

There is a 3rd edition.I have to say that this, too, is one of “the books”, but I do have reservations. I may not do what they recommend, but I always want to see what they have to say. I really enjoy that it’s an opinionated book.

**Prussing**, John E. and **Conway**, Bruce A. **Orbital Mechanics** Oxford University 1993.

ISBN 0 19 507834 9.

[orbital mechanics, 15 May 2008]

This is where i learned to send Mariner 4 to Mars, and the Voyagers to Jupiter. My simulations weren’t fancy, but they were good.

**Quiller**, Stephen. **Color Choices**. Watson-Guptill Publications, 1989.

ISBN 0-8230-0696-4.

[art; 08 Feb 2009]

Paint color schemes for artists.

**Ramanathan**, Ramu. **Introductory Econometrics with Applications **Dryden Press 1995 (3rd ed.)

ISBN 0 03 094922 X.

[regression, econometrics; 5 Nov 2008]

There is a 4th edition, and there may still be data available for it on the internet. I picked up a used copy because the price was right and discovered that I had a well-written book with a lot of examples, and I enjoy running regressions on real data. I recommend this book for econometrics: it’s both fun and informative. Answers.

**Rossotti**, Hazel. **Colour. Why the World Isn’t Grey**. Princeton University, 1985 (paperback, with corrections).

ISBN 0-691-02386-7.

[color theory; 2 Mar 2009]

A wide-ranging book, technical enough to be interesting but not overwhelming. Includes, for example, the physics of color photography.

**Rotman**, Joseph J. **An Introduction to Algebraic Topology**. Springer, 1988.

ISBN 0 387 96678 1.

[algebraic topology, 8 Aug 2008]

“Graduate Texts in Mathematics”. In the preface, he says, “I am an algebraist with an interest in topology. The basic outline of this book corresponds to the syllabus of a first-year’s course in algebraic topology. ”

**Ryan**, Thomas P. ** Modern Regression Methods**. Wiley Interscience, 1997.

ISBN 0 471 52912 5.

[regression; 13 Aug 2012]

A fine second look at regression. I find it a little too terse for learning new things from, but it provides additional insight for things I already understand. Text. Answers.

**Schaum’s Outline Series: Theory & Problems of Linear Algebra**; **Lipschutz**, S.; McGraw-Hill; 1968. So old, my copy has no

ISBN.

[linear algebra, 5 Nov 2008]

The latest edition has a co-author, so I wonder what changes have been made.Chapter 7 if my edition includes the clearest explanation I’ve seen of change-of-basis. Answers.

**Schaum’s Outlines: Feedback and Control Systems**; **DiStefano**, Joseph J., **Stubberud**, Allen R., **Williams**, Ivan J.McGraw-Hill, 1990 (2nd ed.).

ISBN 0 07 017052 5.

[controls: mostly classical, EE, continuous & discrete; 5 Nov 2008]

8 of its chapters are analysis / design using nyquist / root-locus / nichols / bode. This is where I find out what Mathematica® can do, and what it struggles with: “just the facts, ma’am.” This is a first course in process control; no significant computer software. Answers.

**Schiff**, Leonard I. **“Quantum Mechanics”.** McGraw-Hill, 1968 (3rd ed.).

[quantum mechanics; 4 May 2008]

a graduate text. i probably bought it as the “standard text” although we were using a different text in the class.

**Seifert**, H. and **Threlfall**, W. **Lehrbuch der Topologie**. Chelsea, 1945.

[general topolgy; 10 Nov 2008]

Out of print. Classic reference. I bought it for the counterexamples; I bought it in German for the price.

**Sieradski**, Allan J. **An Introduction to Topology & Homotopy**. PWS-Kent, 1992.

ISBN 0 534 92960 5.

[general topology, algebraic topology; 10 Nov 2008]

A very well written senior and first-year graduare textbook. From the preface: “Most topics are developed slowly in their historic manner, in order that a newcomer not be overwhelmed by the ultimate achievements of several generations of mathematicians.”

**Starmer**, Anna. **The Color Scheme Bible**. Firefly Books, 2005.

ISBN 1-55407-032-5.

[color combinations; 2 Mar 2009]

Primarily for interior decorators, the book nevertheless has a spectacular presentation of color combinations.

**Steen**, Lynn Arthur and **Seebach**, J. Arthur Jr. **Counterexamples in Topology**, Dover, 1995 (orig. 1978),

ISBN 0 486 68735 X

[general topology; 17 Nov 2008]

Reference. Very well organized, with many charts of relationships.

**Stephanopoulos**, George. **Chemical Process Control.** Prentice Hall 1984.

ISBN 0 13 128629 3.

[controls, classical ChE, mostly continuous; 5 Nov 2008]

I think this is the classic text. It’s well written and has lots of examples and problems. One of the two books I reach for, for practical process control; Bequette seems a little more academic. This is a first course in process control; no significant computer software. Guide to further reading.

**Stewart**, G.W. **Introduction to Matrix Computations**; Academic press, 1973.

ISBN 0 12 670350 7

[Linear algebra, SVD, dec 2007]

There is not a newer edition. I like this book. It let’s me look back at matrix algebra, knowing something of functional analysis. No, it doesn’t require functional analysis; it should be a nice transition to it. But I got functional analysis long before I found this book. OTOH, I didn’t understand functional analysis as infinite dimensional vector spaces, and I didn’t have the corresponding finite dimensional linear algebra on the tip of my tongue. Heck, it wasn’t even in my back pocket! I especially like his treatments of matrix norms; rank, range, null space under composition; and, of course, the SVD.This is a 2nd book on linear algebra, not a first course. Epilog.

**Strang**, Gilbert; **Nguyen**, Truong.**Wavelets and Filter Banks.**Wellesley-Cambridge Press, 1997 (revised edition).

ISBN 0 9614088 7 1.

[wavelets, filter banks; 20 Dec 2009]

This is challenging material presented with a light-hearted style, and I can enjoy the style while wondering what is going on. I have to think that this text presupposes some exposure to digital signal processing; some, but perhaps not a lot. “Our text explains filter banks and wavelets from the beginning — in several ways and at least two languages (mathematics and signal processing). A small collection of papers at the end, and the final chapter (Applications) are effectively an epilog for what’s next.

**Strang**, Gilbert. **Linear algebra & Its Applications**; Saunders HBJ, (3rd ed.) 1988.

ISBN 0 15 551005 3

[Linear algebra, SVD, dec 2007]

There is a 4th ed, 2005. Same number of pages, different publisher.My favorite intro book. He’s both a good mathematician and a good teacher. If you only own one book on linear algebra (what a sad thought), this should be it. Another one of “the books”. Answers.

**Suppes**, Patrick. **Introduction to Logic.** Van Nostrand, 1957. Available as a Dover reprint, but which edition?

[logic; 3 Mar 2010]

“University Series in Undergraduate Mathematics.” Clearly written, and I enjoyed it. Rigorous symbolic logic will almost certainly never be on my list of things to do, but this was fun to read.

**Symon**, Keith R. **Mechanics** Addison Wesley, 1960.

[physics, classical mechanics; 5 Nov 2008]

There is a 3rd edition; it’s not cheap. I must have acquired this from a friend: I had forgotten about it. Judging from his treatment of acceleration in fixed and rotating frames, he’s a good alternative to Goldstein. Answers.

**Tao**, Terence. **Analysis I.** Hindustan Book Agency, 2006.

ISBN 81 85931 63 1

[real analysis, proof, 25 Mar 2010]

I’m sure this is a fine introduction to real analysis, because the author is a Fields Medalist with an interest in undergraduate education. I recommend it specifically because it aims to help students learn to prove theorems. There is a second volume. Answers (actually hints, both volumes).

**Tewari**, Ashish. **Modern Control Design with Matlab & Simulink.** Wiley, 2002.

ISBN 0 471 49679 0.

[controls: modern, EE, mostly continuous; 5 Nov 2008]

“This book aims at introducing the reader to the basic concepts. while covering in detail what may normally be considered advanced topics, such as multivariable state-space design. optimal control, Kalman filters, robust control, and digital control.” ch 2 is a summary of classical control theory. A first course in state space. Matlab. Epilog. Answers.

**Thurston**, William P. (and Levy, Silvio); **Three-Dimensional Geometry and Topology.** Princeton University 1997;

ISBN 0 691 08304 5.

[geometry, 3D manifolds; 4 May 2008]

not just an intro; it has the classification theorem. this is an approachable book by a Fields’ medallist, and this is his field. don’t be confused by the notes available on the internet: this starts gently.

**Wallace**, Andrew H. **Differential Topology: First Steps**. Dover 2006 (orig 1979).

ISBN 0 486 45317 0.

[differential topology; 20 Dec 2008]

Looks like a marvelous undergraduate introduction. From the preface: “… in this field, as indeed in any branch of topology, the first steps should be geometric.” He uses differential methods to obtain the classification of 2D manifolds. Short intense guide to further reading. Structured exercises, but no solutions. Epilog.

**Weeks**, Jeffrey R. **The Shape of Space;Marcel Dekker**; (2nd ed.) 2002;

ISBN 0 82470709 5.

[geometry of 2D and 3D manifolds, 5 Nov 2008]

An introductory book. From the preface to the first edition: “. fills the gap between the simplest examples, such as the Mobius strip and the Klein bottle, and the sophisticated mathematics found in upper-level college courses. i wrote it mainly for the interested non-mathematician (perhaps a high school student. ).” Guide to further reading.

**Wilcox**, Michael. **Blue and Yellow Don’t Make Green**. North Light Books, 1994 (revised edition).

ISBN 0-89134-622-8.

[art, color theory; 08 Feb 2009]

How to mix store-bought colors and understand the results.

**Willard**, Stephen. **General Topology**, Dover, 2004 (orig. 1970).

ISBN 0 486 43479 6.

[general topology; 17 Nov 2008]

Textbook and reference. Well-written. Copious historical references and notes.

**Wine**, R. Lowell ** Statistics for Scientists and Engineers**. Prentice Hall, 1964.

[statistics; 13 Aug 2012]

This is my reference – although it was, in fact, the text for my very first statistics course. It is thorough and precise… and, I hate to say, I’m not surprised that such a rigorous book is out of print. Text.

**Wyszecki**, Günther. **Stiles**, W.S. **. Color Science: Concepts and Methods, Quantitative Data and Formulae**. Wiley-Interscience, 1982 (second ed., republished 2000.)

ISBN 0-471-39918-3.

[color theory; 08 Feb 2009]

Heavy-duty reference. I have heard that it is a bit out of date, but I have not heard of any replacement.

**Zwiebach**, Barton. **A First Course in String Theory.** Cambridge University Press, 2004.

ISBN 0 521 83143 1.

[string theory; 25 feb 2008]

This is the text for an upper-division couse at M.I.T. Guide to further reading (two books).

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The motion of a dynamical system in a given time interval is such as to maximize or minimize the action integral

April 22, 2019 at 7:28 am

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