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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Maths books or works by originators or pioneers of fields of mathematics [closed]

I am looking for a (hopefully eventually comprehensive) list of examples of books or works that are: written by an originator of a field of mathematics, and about that field written by a pioneer of a ...
4 votes
0 answers
147 views

antique/rare math books to sell/donate (not to university) [duplicate]

I'm looking for resources for selling and/or donating my father's antique/rare mathematics books. He was a math professor for many years and has an extensive book collection (math, physics, ...
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3 votes
0 answers
188 views

Publishing a book with a big publisher [closed]

This question is not strictly mathematical (as there are not concrete mathematics on it), but I guess that could be of interest to the community. I am considering to write a research graduate book on ...
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8 votes
0 answers
230 views

Does the book "Algebra III" exist (within the Encyclopaedia of Mathematical Sciences series from Springer)?

Within the series "Encyclopaedia of Mathematical Sciences", as published by Springer, one finds the 8 volumes, namely, the volumes I, II, IV, V, VI, VII, VIII, IX but zbMath has no listing ...
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2 votes
1 answer
198 views

General topology book recommendation for advanced probability theory

I would like to know if anyone could suggest a general topology book for a deeper understanding of probability at advanced level. If there is an advanced topology book oriented to probabilists, I ...
37 votes
13 answers
4k views

Exposition of Grothendieck's mathematics

As Wikipedia says: In Grothendieck's retrospective Récoltes et Semailles, he identified twelve of his contributions which he believed qualified as "great ideas". In chronological order, ...
2 votes
0 answers
106 views

"Equivalent" reference to "Quelques méthodes" by J-L. Lions

I've just started learning about some methods to deal with parabolic equations, and in a lot of papers they refer to the book "Quelques méthodes de résolution des problèmes aux limites non ...
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8 votes
1 answer
343 views

Looking for 1986 book "Algebraic and topological theories"

I am looking for the proceedings book (in paper or electronic form): Algebraic and topological theories, Papers from the symposium dedicated to the memory of Dr. Takehiko Miyata held in Kinosaki, ...
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1 vote
0 answers
108 views

Help to use Statistics and algebra books for community [closed]

My father has 2000 statistics and higher algebra books (schaum series etc). Need to use these for community since he passed away (India) kindly guide me I just need to know if we can donate these ...
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8 votes
2 answers
494 views

Books/References for Inequalities that take advantage of orders

Are there any good references/papers/books that specifically address inequalities that take advantage of orders or monotonicity? I have already browsed through the classical Cauchy-Schwarz Master ...
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1 vote
0 answers
138 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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9 votes
1 answer
1k 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 ...
25 votes
8 answers
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 ...
4 votes
0 answers
680 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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-1 votes
1 answer
292 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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15 votes
7 answers
5k 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 ...
3 votes
2 answers
836 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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6 votes
1 answer
720 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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4 votes
0 answers
150 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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7 votes
1 answer
271 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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9 votes
0 answers
253 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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18 votes
4 answers
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 ...
5 votes
1 answer
463 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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0 votes
1 answer
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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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2 votes
0 answers
238 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 ...
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5 votes
2 answers
7k 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 ...
139 votes
24 answers
23k 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 ...
0 votes
0 answers
278 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) ...
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148 votes
53 answers
19k 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 ...
4 votes
2 answers
1k 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....
13 votes
5 answers
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 ...
1 vote
1 answer
659 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 (...
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56 votes
15 answers
7k 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 ...
12 votes
1 answer
559 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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41 votes
6 answers
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 ...
14 votes
4 answers
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 ...
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15 votes
1 answer
696 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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0 votes
0 answers
112 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 ...
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85 votes
8 answers
10k 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 votes
0 answers
870 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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1 vote
2 answers
136 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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5 votes
0 answers
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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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0 votes
1 answer
1k 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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7 votes
1 answer
415 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 ...
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4 votes
1 answer
411 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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31 votes
0 answers
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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12 votes
2 answers
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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14 votes
1 answer
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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  • 141
0 votes
1 answer
219 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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3 votes
2 answers
2k 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....