# 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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### Book on analysis and algebra at the undergraduate level [closed]

I am writing this post because I would like to know what are your references concerning math book showing the interplay between analysis and algebra at an undergraduate-advanced undergraduate level.
...

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### Book that shows a construction of ZFC with Calculus of Constructions

Is there any book that teaches the basics of Type Theory and Calculus of Inductive Constructions (CIC) and also shows a construction of ZFC (or preferably NBG) in CIC?
I only found the paper "...

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### A book about mathematical drawing on the blackboard

Several years ago, when I was just starting undergrad, I ran across an instructional text on chalking beautiful mathematical diagrams while killing time in the college library. In my infinite wisdom, ...

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### Books containing new results

In Endless controversy about the correctness of significant papers, Denis Serre writes:
The research community is able to point out incorrect statements, at least among those which have some ...

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### Mathematical physics roadmap

I am looking for a roadmap to be able to understand more of the physical theory behind mathematical physics (at the level where I can read physics oriented textbooks/monographs)
I have a background in ...

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### Springer GTM Series statement of purpose (early editions)

Earlier editions of the Springer Graduate Texts in Mathematics series include a motivating statement about the purpose of the series. The current statement of purpose is as follows:
Graduate Texts ...

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### What to do with a collection of theoretical math books?

My father had a Ph.D. in mathematics. He was a consummate mathematician and enjoyed reading about all topics related to math. He passed away a couple of years ago. I have yet to find a suitable place ...

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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 ...

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### 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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### 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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### 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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### 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 ...

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### 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, ...

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### "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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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 ...

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### 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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### 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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### 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 use ...

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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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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### 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 ...

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### 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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### 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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### 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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### 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?