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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7 votes
1 answer
2k 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 ...
193 votes
43 answers
43k views

Are there other nice math books close to the style of Tristan Needham?

I've been very positively impressed by Tristan Needham's book "Visual Complex Analysis", a very original and atypical mathematics book which is more oriented to helping intuition and insight than to ...
90 votes
8 answers
12k 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
2 answers
666 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Adding something to a book from an unpublished paper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 I would like to add a few pages taken from a (still) unpublished paper of mine (...
154 votes
54 answers
22k 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 use ...
136 votes
15 answers
35k views

Statistics for mathematicians

I'm looking for an overview of statistics suitable for the mathematically mature reader: someone familiar with measure theoretic probability at say Billingsley level, but almost completely ignorant of ...
75 votes
6 answers
9k views

Errata to "Principles of Algebraic Geometry" by Griffiths and Harris

Griffiths' and Harris' book Principles of Algebraic Geometry is a great book with, IMHO, many typos and mistakes. Why don't we collaborate to write a full list of all of its typos, mistakes etc? My ...
1 vote
1 answer
339 views

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. ...
47 votes
7 answers
14k views

Classification of (compact) Lie groups

I would like to study/understand the (complete) classification of compact lie groups. I know there are a lot of books on this subject, but I'd like to hear what's the best route I can follow (in your ...
249 votes
37 answers
169k views

Best algebraic geometry textbook? (other than Hartshorne)

I think (almost) everyone agrees that Hartshorne's Algebraic Geometry is still the best. Then what might be the 2nd best? It can be a book, preprint, online lecture note, webpage, etc. One suggestion ...
57 votes
16 answers
8k 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 ...
5 votes
1 answer
354 views

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 "...
27 votes
4 answers
14k views

"Pick up a homological algebra book and prove all of the theorems yourself" (exercise from Lang's Algebra)

There's a famous story about an exercise from Lang's Algebra that says something along the lines of "pick up a homological algebra book and prove all of the theorems yourself". I cannot find it in ...
36 votes
2 answers
4k views

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, ...
12 votes
7 answers
3k views

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 ...
31 votes
1 answer
25k views

Is an English translation of Grothendieck's EGA available?

I have always wondered whether there is an English translation of Grothendieck's EGA (Elements de Geometrie Algebrique) available. Does anyone know whether there is and if so where I can find it? If ...
53 votes
17 answers
16k views

Computer science for mathematicians

This is a big-list community question, so I'm sorry in advance if it is deemed too soft but I haven't seen anything similar yet. I've seen computer scientists post questions looking to learn things ...
36 votes
65 answers
13k views

Fiction books about mathematicians? [closed]

What are some fiction books about mathematicians? It seems to me rather difficult for writers to create good books on this subject. Some years ago I thought there were no such books at all. There ...
148 votes
26 answers
27k 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 ...
192 votes
47 answers
27k views

Books you would like to read (if somebody would just write them…)

I think that the title is self-explanatory but I'm thinking about mathematical subjects that have not received a full treatment in book form or if they have, they could benefit from a different ...
10 votes
1 answer
3k 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 ...
45 votes
17 answers
47k views

Good algebraic number theory books

I have just finished a master's degree in mathematics and want to learn everything possible about algebraic number fields and especially applications to the generalized Pell equation (my thesis topic),...
1 vote
0 answers
789 views

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 ...
5 votes
1 answer
344 views

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 ...
28 votes
4 answers
2k views

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 ...
86 votes
38 answers
11k views

Books about history of recent mathematics

I draw on this question to ask something that has always been a pet peeve of mine. It is very easy to find books about the history of mathematics, much less so if one wants books about the recent (say ...
14 votes
11 answers
4k views

Math History books

I'm teaching a course over the summer (it's a sort of make-your-own course for non-majors) and I'm planning on organizing it as a math history course, hitting on major threads through about 1900, and ...
80 votes
64 answers
16k views

Books you would like to see translated into English

I have recently been told of a proposal to produce an English translation of Landau's Handbuch der Lehre von der Verteilung der Primzahlen, and this prompts me to ask a more general question: ...
27 votes
29 answers
29k views

Alternative undergraduate analysis texts

Other than the standard baby Rudin, Spivak, and Stein-Shakarchi, are there other alternative and comprehensive analysis texts at the undergraduate level? For example something that has general results ...
3 votes
0 answers
238 views

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 ...
38 votes
13 answers
5k 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, ...
4 votes
0 answers
158 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, ...
2 votes
0 answers
234 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 ...
7 votes
7 answers
2k views

CLT for stationary sequences with infinite variance

There is a well-known central limit theorem for as a stationary sequences. If $( X_n )_n$ is a stationary sequence and $E X_n=0$ then under suitable mixing conditions the sequence $S_n := n^{-1/2}\...
8 votes
0 answers
396 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 ...
15 votes
1 answer
2k views

Good introduction to Morse-Novikov theory?

Morse theory investigates the topology of compact manifolds using critical points of real-valued functions $f\colon\, M\to \mathbb{R}$. Motivated by problems in dynamical systems, Novikov (Multivalued ...
2 votes
1 answer
372 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 ...
38 votes
26 answers
56k views

Text for an introductory Real Analysis course.

Any suggestions on a good text to use for teaching an introductory Real Analysis course? Specifically what have you found to be useful about the approach taken in specific texts?
2 votes
0 answers
154 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 ...
8 votes
1 answer
445 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, ...
20 votes
8 answers
4k views

Decent texts on categorical logic

Recently I read the chapter "Doctrines in Categorical Logic" by Kock, and Reyes in the Handbook of Mathematical Logic. And I was quite impressed with the entire chapter. However it is very short, and ...
7 votes
2 answers
11k 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 ...
8 votes
5 answers
2k views

Textbooks on SINGULAR and Macaulay 2

Recently, I'm tired of those theoretical parts on commuative algebra. So I hope that someone could recommend me some good textbooks on SINGULAR and Macaulay 2. And I'm wondering whether SINGULAR is ...
1 vote
0 answers
122 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 ...
12 votes
7 answers
2k views

What books approach group theory through transformation/permutation groups?

What are some books that discuss transformation groups (or permutation groups) before abstract groups? Some quotes to motivate the question: from V. I. Arnold, 'On Teaching Mathematics': What is a ...
8 votes
2 answers
556 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 ...
12 votes
9 answers
9k views

Book recommendations on cellular automata?

I have been looking for books on cellular automata, and I really can't afford more than one book right now, so I really need to make the right choice. What would be the right book for someone with a ...
68 votes
30 answers
36k views

A book you would like to write

Writing a book from the beginning to the end is (so I heard) a very hard process. Planning a book is easier. This question is dual in a sense to the question "Books you would like to read (if somebody ...
45 votes
39 answers
8k views

What out-of-print books would you like to see re-printed?

It's excellent news that the LMS are to re-publish Cassels & Fröhlich. There are many other excellent mathematics books which are just about impossible (or at least very expensive) to get hold of,...
1 vote
0 answers
265 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 ...