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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2
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5answers
4k views

Beginners text on Calculus of Variations

Hi, I want to begin learning Calculus of Variations. What texts would MathOverflow recommend? Amazon shows up quite a few options: http://tinyurl.com/36koaq4 I work on Machine Learning, and that ...
10
votes
12answers
4k views

undergraduate logic textbook

I am going to teach the standard undergraduate Logic course for math and engineering majors. What are good (bad) text-books and why. I have not taught that course for a while and wonder if there are ...
2
votes
2answers
765 views

Help with Griffiths & Harris, Surfaces

I believe to have found a typo in Griffiths & Harris. In the chapter on surfaces, section Rational Surfaces 1, I am trying to read the result that a holomorphic vector bundle over ...
1
vote
1answer
266 views

is there an English translation of the book by Guy Barles?

is there an English translation of the book by Guy Barles, "Solutions de viscosite des equations de Hamiltion-Jacobi"? Springer-Verlag
-1
votes
5answers
785 views

finding cutting edge papers and books

Hi all, what are the best strategies to find cutting edge papers and books on a field of mathematics? .. Example: 2-3 years ago I had to analyze a time series. I found a paper and showed that to ...
1
vote
10answers
3k views

Propositional logic and first order logic textbook

What are in your opinion some good propositional and first order logic textbooks (undergraduate level) ? I need one that focuses mainly on the aspects of logic related to computer science. thanks in ...
0
votes
0answers
488 views

Correlation stress testing

Could you suggest good articles / books / online materials on correlation stress testing? Correlation stress testing: say, we have a positive semidefinite correlation matrix. We might want to explore ...
1
vote
2answers
243 views

reference for weak*-semigroup

Let $X$ a dual Bancah space (there exists a Banach space $Y$ such that $X=Y'$). A weak* semigroup on $X$ is a semigroup $(T_t)_{\geq 0}$ on $X$ such that, for all $x\in X$, we have ...
1
vote
6answers
2k views

What would be your suggestion of textbooks in Lie groups and Galois theory? [duplicate]

Possible Duplicate: Learning about Lie groups Actually, I'm having the hard time with Serre's book on Lie groups and algebras: the lack of motivation is my biggest problem. So, what would you ...
20
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8answers
6k views

Undergraduate roadmap to algebraic geometry?

Hello, I'm sorry if this question isn't posted correctly. I hope that it is (since other questions regarding roadmaps have been allowed). Now to my question: From what I've heard from professors and ...
8
votes
6answers
2k views

Geometric flavored textbook on algebra

I am interested in topology, while I am not so comfortable with some algebraic flavored textbook on algebra. Actually, it was not until I learned some topology that I began to understand some ...
67
votes
27answers
11k views

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

Hello, 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 ...
7
votes
2answers
1k views

Vinogradov's Elements of Number Theory

I can't be the only person here who has fond memories of the problems in Vinogradov's Elements of Number Theory. (For people who have not read it - the text itself is just a concise basic number ...
52
votes
13answers
10k 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 ...
5
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0answers
5k 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 ...
6
votes
2answers
2k views

Functions of several complex variables: book recommendations?

Can anyone recommend a good comprehensive introduction to functions of several complex variables that a) is fairly up to date, b) isn't a geometry or an algebra book only, but takes multiple ...
12
votes
6answers
2k views

Euclid with Birkhoff

I'm looking for an short and elementary book which does Euclidean geomety with Birkhoff's axioms. It would be best if it would also include some topics in projective (and/or) hyperbolic geometry. ...
2
votes
4answers
1k views

Older editions of which books were better than the new ones? [closed]

When choosing some mathematics book to study, is it always the case that one should look for the current edition of the book. Are there any examples when the older edition of some book is clearly ...
5
votes
7answers
2k 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 ...
13
votes
19answers
10k views

Good combinatorics textbooks for teaching undergraduates?

Hello, can anyone recommend good combinatorics textbooks for undergraduates? I will be teaching a 10-week course on the subject at Stanford, and I assume that the students will be strong and motivated ...
10
votes
1answer
443 views

Books you would like to see retranslated. [closed]

As a follow on to this question, what books would you like to see retranslated or rewritten as the original translation wasn't very good, or can you give examples of books that have been translated ...
23
votes
13answers
19k views

Good differential equations text for undergraduates who want to become pure mathematicians

Alright, so I have been taking a while to soak in as much advanced mathematics as an undergraduate as possible, taking courses in algebra, topology, complex analysis (a less rigorous undergraduate ...
15
votes
9answers
3k views

Mathematics and autodidactism

Mathematics is not typically considered (by mathematicians) to be a solo sport; on the contrary, some amount of mathematical interaction with others is often deemed crucial. Courses are the student's ...
0
votes
1answer
4k views

Websites hosting free math ebooks. [duplicate]

Possible Duplicates: Free, high quality mathematical writing online? Most helpful math resources on the web A lot has been said about different kinds of math resources here in MO. To ...
2
votes
6answers
7k views

What are your favorite calculus books for math majors of various levels? [closed]

Since I'll be working ("I" being the original poster, Andrew L) as either a high school math teacher or adjunct at a university as well as private tutoring, to make ends meet for the next year or so ...
14
votes
1answer
4k views

Matsumura: “Commutative Algebra” versus “Commutative Ring Theory”

There are two books by Matsumura on commutative algebra. The earlier one is called Commutative Algebra and is frequently cited in Hartshorne. The more recent version is called Commutative Ring ...
6
votes
6answers
428 views

Reference Request: Perspective Painting

What is a good book/article explaining the mathematics behind perspective painting? I have already looked at the wikipedia article on the topic, so I am looking for something more advanced than this. ...
12
votes
6answers
5k views

What are some good group theory references?

I'm curious about what books people use for a group theory reference. I don't currently own a dedicated group theory book, and I think I'd find such a book very helpful in my research. What is your ...
52
votes
34answers
6k 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 ...
10
votes
10answers
3k 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 ...
5
votes
5answers
1k 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 ...
4
votes
0answers
1k views

Good textbooks on probability and/or stochastic processes, emphasizing simulation

Any recommendations for textbooks on probability and/or stochastic processes that emphasize simulation? I'll be teaching this course in the Fall.
4
votes
4answers
2k views

book recommendation on data analysis and statistics

I am looking for a book on data analysis and statistics. My objective is to better analyse and understand data over time (like trends or events) and extract useful information from raw statistics. I ...
4
votes
0answers
469 views

Did Tanisaki and Kashiwara publish a new book?

I am not sure this question is appropriate for MO.Some one told me that they have a new book talking about affine flags and schubert cell to calculate the intersection cohomologies and ...
1
vote
1answer
457 views

Book about fluid dynamics

Hello, next monday I'll have an interview at Siemens for an internship where I have to know about fluid dynamics/computational fluid dynamics. I'm not a physicist so does somebody have a suggestion ...
7
votes
1answer
1k views

Errata for Emil Artin's 'The Gamma Function'?

In the English translation of The Gamma Function by Emil Artin (1964 - Holt, Rinehart and Winston) there appears to be a mistake in the formula given for the gamma function on page 24: $$\Gamma(x) = ...
6
votes
4answers
839 views

A book explaining power and limitations of Peano Axioms?

Are there books or survey articles explaining the subject to a non-expert? To clarify what I mean, here is a couple of issues that I would like to read about. (I am mainly interested in references but ...
18
votes
8answers
3k views

How to start Game theory?

Hi everybody, I recently got interested in Game Theory but I don't know where should I start. Can anyone recommend any references and textbooks? And what are the prerequisites of Game Thoery? Thanks ...
26
votes
32answers
5k 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 ...
3
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6answers
1k views

Books about polynomials

Hi,have you a good reference (books) for the study of polynomials with one variable or many variables ? Thanks for your help. Don't hesitate to correct my English.
43
votes
48answers
8k 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: ...
22
votes
16answers
18k views

Linear Algebra Texts?

Can anyone suggest a relatively gentle linear algebra text that integrates vector spaces and matrix algebra right from the start? I've found in the past that students react in very negative ways to ...
15
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19answers
3k views

Favourite scholarly books?

What are your favourite scholarly books? My favourite is definitely G.N. Watson's "A treatise on the theory of Bessel functions" (full text). Every single page is full of extremely precise ...
17
votes
2answers
2k views

Number theory textbook based on the absolute Galois group?

I've just finished reading Ash and Gross's Fearless Symmetry, a wonderful little pop mathematics book on, among other things, Galois representations. The book made clear a very interesting ...
23
votes
6answers
5k views

Good lattice theory books?

A recent answer motivated me to post about this. I've always had a vague, unpleasant feeling that somehow lattice theory has been completely robbed of the important place it deserves in mathematics - ...
4
votes
1answer
259 views

Origin of Fujimura set

If we have 10 coins arranged in an equilateral triangle and we want to know the minimum number of coins we can remove so that none of the remaining coins form an equilateral triangle the remaining ...
12
votes
9answers
7k views

A book for problems in Functional Analysis

Hello everybody, I want to know if there's any book that categorizes problems by subjects of Functional Analysis. I'm studying Functional Analysis now a days and I really need to solve some problems ...
17
votes
15answers
12k 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 ...
2
votes
3answers
1k views

Good books on Arithmetic Functions ?

As, I was studying the Mobius Mu Function, and Gram Series... I got myself some pretty nice books: Ribenboim - The New Book of Prime Number Records Apostol - Introduction to Analytic Number Theory ...
92
votes
22answers
9k views

Why do so many textbooks have so much technical detail and so little enlightenment? [closed]

I think/hope this is okay for MO. I often find that textbooks provide very little in the way of motivation or context. As a simple example, consider group theory. Every textbook I have seen that ...