Questions tagged [books]

Questions in which books play a key-role, such as questions on antique books, e-books, difference between various editions of a book, etc. For questions asking for recommendations of books on some subject the tag textbook-recommendation is often more suitable.

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0answers
140 views

Disquisitiones Arithmeticae is too hard for me, but isn't my textbook and I'm afraid of disappointing my teacher [closed]

Well, first of all, I'm 15 Years old, I self study Calculus and Proof Writing. I'm in 10th Grade and my teacher said me that in the Math Department they had the Disquisitiones Arithmeticae, I said to ...
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113 views

What a good alternative for Mendelson's math logic can I read?

I am a programmer and I am master of computer science. I remember we studied mathematical logic with Mendelson's book "Introduction to mathematical logic" and I barely understood this book ...
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1answer
694 views

Latest “A Term of Commutative Algebra” by Altman and Kleiman? [closed]

Where can I find the latest revision of A term of Commutative Algebra by Allen B. ALTMAN and Steven L. KLEIMAN? Is my 2013 version ok? It is hard to locate the latest one; many old revisions and ...
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8answers
4k views

What is the point of reading classics over modern treatments?

There seems to be a good number of mathematicians who recommend reading "classic" works in a given field (where the term "classic" is in the sense defined below). Indeed, there are ...
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0answers
411 views

How to buy Spivak's A Comprehensive Introduction to Differential Geometry

This sounds a bit stupid, but how can I buy Spivak's A Comprehensive Introduction to Differential Geometry (the third edition)? It does not seem to be available on Amazon (at least most of it is not ...
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1answer
164 views

Christoffel symbols as the expansion coefficients of covariant/contravariant derivatives

Page 155 of Vector and Tensor Analysis with Applications, by A.I Borishenko and I.E. Tarapov, the authors state that Christoffel symbols of the second kind are expansions of $\frac{\partial {\bf e}_j}{...
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7answers
4k views

Learning mathematics in an “independent and idiosyncratic” way

This is a question about learning mathematics outside of the standard undergraduate/graduate education. The following is a quote from Thurston's On Proof and Progress in Mathematics: My mathematical ...
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2answers
655 views

What are your opinions on Zeidler's QFT books? [closed]

I am interested in mathematically rigorous treatment of quantum field theory, constructive QFT in particular. I have read 'QFT, A Tourist Guide for Mathematicians' and am going to read "Quantum ...
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1answer
490 views

Books on foliations

I am looking for resources (books, notes, lecture video, etc. anything will do although printed material in English is preferable) on foliations which satisfy some or all of the following constraints. ...
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0answers
131 views

Book on Rigorous Renormalization

Many years ago I came across Salmhofer's Renormalization book and I studied its first chapter for a while. At the time, a professor told me the aim of the book was to develop a perturbative fermionic ...
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65 views

Mathematical construction: ADM formulation in general relativity

I'm doing my undergraduate thesis and now I'm looking for references that presents ADM Formulation in general relativity mathematically. I studied the basics of general relativity theory by O'Neill ...
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1answer
261 views

Has vol. 3A of Cullis's “Matrices and Determinoids” been scanned and vol. 3B been archived?

This is a borderline question, but I'm going to risk posing it. Cuthbert Edmund Cullis (1875?-1955?) was a somewhat obscure British mathematician whose opus magnum was a multi-volume treatise called ...
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218 views

What happened to Stark's book on the analytic theory of algebraic numbers?

I just read the excellent chapter 6 Galois Theory, Algebraic Numbers and Zeta Functions(*) in Waldschmidt, Michel, et al., eds. From number theory to physics. Berlin etc.: Springer, 1992 by Harold ...
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4answers
1k views

Quirky, non-rigorous, yet inspiring, literature in mathematics

In contrast with such lucid, pedagogical, inspiring books such as Visualizing Complex Analysis by Needham and Introduction to Applied Mathematics by Strang, I've had the pleasure of coming across the ...
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1answer
460 views

Adding something to a book from an unpublished paper

As many of the people that I am spamming in real life might at this point know, I am turning my coend note into a book. I would like to add a few pages taken from a (still) unpublished paper of mine (...
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1answer
107 views

What is a Lipschitz continuous map between Riemann surfaces in Jost's book Compact Riemann Surfaces?

This appears in the section 3.7 of the book Compact Riemann Surfaces by Jurgen Jost, right after Lemma 3.7.3. The exact words are Now let $v:\Sigma_1\to\Sigma_2$ be a Lipschitz continuous map. ...
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232 views

Tracking down an elusive book

A few weeks ago I had a very engaging talk with a faculty member, where he told me lots of interesting things about quantum algebras, know theory and Reshetikhin-Turaev invariants (this field is not ...
6
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2answers
5k views

What is a really good book for complex variables? [closed]

I'm an engineering student but I self-study pure mathematics. I am looking for a Complex Variables Introduction book (to study before complex analysis). I have the Brown and Churchill book but I was ...
127
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21answers
20k views

Good “casual” advanced math books

I'm curious if there are any good math books out there that take a "casual approach" to higher level topics. I'm very interested in advanced math, but have lost the time as of late to study textbooks ...
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0answers
241 views

Mathematical Problems of General Relativity II

In the introduction of D. Christodoulou's book "Mathematical Problems of General Relativity I", he refers a few times to the second volume. My question is does it exists? Has it been (or will it be) ...
143
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53answers
18k views

Old books you would like to have reprinted with high-quality typesetting

There are some questions on mathoverflow such as What out-of-print books would you like to see re-printed? Old books still used with answers that tell us things such as: Mathematicians prefer to ...
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2answers
896 views

Reference request: Oldest linear algebra books with exercises?

Inspired by the recent success of my "soft question" here, I also have to ask, what are some of the oldest linear algebra books out there with exercises? I'm fine with or without solutions, either way....
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5answers
2k views

Reference request: Oldest calculus, real analysis books with exercises?

Per the title, what are some of the oldest calculus, real analysis books out there with exercises? Maybe there are some hidden gems from before the 20th century out there. Edit. Unsolved exercises ...
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1answer
637 views

State-of-the-art geometry book? [closed]

For my best friend's birthday, I am looking for a geometry book. He's currently doing his math PhD and is really fond of geometry, especially hyperbolic or higher-dimensional ones, also interested in (...
56
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15answers
6k views

What are examples of books which teach the practice of mathematics?

One may classify the types of mathematics books written for students into two groups: books which merely teach mathematics (i.e., they present theorems and proofs, ready-made, as it were) and those ...
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1answer
454 views

Are there any advanced level math audiobooks?

I am aware of a few interesting math podcasts but haven’t come across any interesting advanced math audiobook. Are there some?
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6answers
3k views

What are good articles/books on the psychology of mathematical research?

I am thinking about advanced texts similar to Polya's 'How to solve it?'. Quite a few good articles of such a kind are published under Philosophy of Mathematics, but that dwells on a very different ...
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4answers
3k views

Which edition of Philosophiae Naturalis Principia Mathematica of Isaac Newton would you recommend to me?

I'm searching for a good edition of Philosophiae Naturalis Principia Mathematica of Isaac Newton in English. Which edition of the Principia can you suggest me? If it's possible, cheap and similar to ...
15
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1answer
601 views

Duistermaat and Kolk's lost chapters on Lie groups

In Duistermaat and Kolk's book Lie Groups, it is written in the preface that "the text contains references to chapters belonging to a future volume". I could not find this second volume anywhere. Has ...
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0answers
109 views

Books on algebraic groups over C with examples [duplicate]

I've been trying to learn about algebraic groups lately and I was wondering if there were any books/notes out there which: A. treat algebraic groups over the complex numbers, B. cover all the most ...
81
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7answers
9k views

Books on music theory intended for mathematicians

Some time ago I attended a colloquium given by Princeton music theorist Dmitri Tymoczko, where he gave a fascinating talk on the connection between music composition and certain geometric objects (as ...
6
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0answers
731 views

Are French, original editions of Grothendieck's EGA&SGA out of sales?

I have been desperately searching for the hardcopies of Grothendieck's EGA and SGA trilogy, but I could not find available sales except for some used books at Amazon with ridiculously expensive prices....
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2answers
126 views

Distributional equations: reference request [closed]

I'm really having a hard time finding a book that covers distributional equations such as $xT = \delta(x)$ or distributional differential equations. Any suggestions?
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0answers
1k views

A course on modern algebraic geometry from “The Stacks Project”

I hope this question is viable for this site. I'm sincerely sorry, if you think it isn't. For a lot of time, "EGA" by Alexander Grothendieck and Jean Dieudonne was "the" reference on the basics of ...
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1answer
993 views

What are the differences between The Princeton Companion to Applied Mathematics and Mathematics for Physics by Michael Stone and Paul Goldbart?

Both of them are applied mathematics books. What are the main differences between them? Which is more mathematical i.e. mathematically advanced, mathematically rigorous?
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1answer
406 views

Trinity College, Cambridge, circa 1896 maths scholarship papers [closed]

I've been searching around looking for the (maths component) of the scholarship papers to Trinity College (Cambridge) from around 1890. Can anyone provide a link to a pdf scan of these papers? Was ...
4
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1answer
354 views

Bromwich introduction to infinite series or modern counterpart

I'm looking to brush up my analysis after several years out of mathematics (graduated in 1996 and worked in industry since then). I want a hard core treatment of analysis in order to brush up and ...
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0answers
3k views

Greatly expanded new edition of a Bourbaki chapter on algebra?

Recently I discovered by accident that Bourbaki issued in 2012 a radically expanded version of their 1958 Chapter 8 Modules et anneaux semi-simples (like other chapters, initially in French) within ...
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2answers
1k views

Can I find Fermat's complete works anywhere?

I admire the mathematician very much and want to look at his writings. Is there anywhere in book or web form that has a collection of his writings?
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1answer
1k views

Springer GTM Reprints in China?

I apologise if this is not the sort of question appropriate for MO; it does however seem that mathematicians are the most likely to know the answer: Many of the Chinese mathematicians and graduate ...
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1answer
213 views

university press specialized in math books [closed]

I am thinking of writing a book for graduate students, on graph theory. Apart from AMS book, does someone of you could suggest a university press that acccept submission on these arguments. I ...
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2answers
1k views

Popular books written by great mathematicians [closed]

I read: H. Poincare. Value of science F. Klein. Development of Mathematics in the 19th Century J.E. Littlewood. A Mathematicians Miscellany G.H. Hardy. A Mathematician’s Apology R. Courant, H....
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1answer
711 views

Book on Convergence Concepts in Probability without Measure Theory [closed]

I am looking for a comprehensive book on Probability which discusses Convergence of Random Variables in detail, excluding portions of Measure Theory. Allan Gut's "Probability: A Graduate Course" seems ...
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5answers
3k views

Good lecture notes/books on Jacobian of hyperelliptic curve

I want to understand what the Jacobian variety is from an algebraic (or arithmetic?) perspective. I want to know: What is the definition of the Jacobian? Widely know facts about it. Why the Jacobian ...
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1answer
239 views

books on very large scale linear optimization

Recently in my material science research, I have encountered problems of very large scale linear optimization. I read the introductory book "Introduction to Linear Optimization (Athena Scientific ...
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2answers
785 views

Survey of the history of calculus?

Boyer 1939 is a nice readable survey of the history of the calculus, but it's showing its age. Discussing the notion of instantaneous velocity, he has: Mathematics knows no minimum interval of ...
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4answers
2k views

Advice for number theory library

Hi I just got a faculty position and it comes with a generous start up funds for "office supplies", which I must use or lose. What does a pure mathematician need? I have good computers already. I ...
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3answers
919 views

Which tools can identify scholarly papers that use the same types of equations?

Many types of equations are being used in multiple contexts, so a search for specific formulas might be one way to identify scholarly papers that are conceptually related. Is any website or tool ...
3
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1answer
477 views

A good reference for learning about super-differentiation & super-integration?

I've looked at a couple of books for basic information for super-differentiation & super-integration - Rogers Supermanifolds, and Khrennikovs Superanalysis. Unfortunately both books lack a clear ...
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350 views

Alternative source to Drozd's book on finite dimensional algebras

I am trying to learn classic representation theory of finite dimensional algebras. My main source is the book "finite dimensional algebras" by Drozd and Kirichenko. I did not have too much trouble ...