All Questions
Tagged with big-list textbook-recommendation
29 questions
11
votes
9
answers
5k
views
List of problems for graduate topics?
When I study a new topic, I never feel satisfied until I have spent some time solving a long list of problems.
I am looking for either a problem book or a list of problems on graduate math topics. ...
132
votes
22
answers
11k
views
Books that teach other subjects, written for a mathematician
Say I am a mathematician who doesn't know any chemistry but would like to learn it. What books should I read?
Or say I want to learn about Einstein's theory of relativity, but I don't even know much ...
5
votes
1
answer
1k
views
Books to develop a deep understanding of Algorithmic Information Theory?
I'm mathematical physicist working with hydrodynamics modelling. Recently, I had to turn to modelling of flows with particles and some questions I have I think are related to Algorithmic Information ...
148
votes
26
answers
29k
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 ...
25
votes
19
answers
20k
views
Math books for advanced high school students
I'm working in a program for teaching a group of students selected in a Olympiad competition. The program is aimed to acquaint the students with the diverse aspects of higher mathematics in a way ...
8
votes
1
answer
4k
views
Hodge Theory (Voisin)
I have a strong understanding of Representation Theory but am interested in learning from
Voisin, Hodge Theory and Complex Algebraic Geometry.
What are the prerequisites to learning from this textbook?...
- 81
6
votes
7
answers
6k
views
Discrete Mathematics textbooks for undergraduates
For the first time, I will be teaching a course on Discrete Mathematics for electrical and computer undergraduates students.
I intend to focus on practical applications.
I would be grateful if ...
19
votes
11
answers
4k
views
Approachable French masters
Similar to this topic, what are the easiest foundational French texts for someone learning the language? My intuition would be Cauchy and Lebesgue, but I have no idea where to start or which of their ...
60
votes
23
answers
108k
views
A good book of functional analysis [closed]
I'm a student (I've been studying mathematics 4 years at the university) and I like functional analysis and topology, but I only studied 6 credits of functional analysis and 7 in topology (the basics)....
28
votes
11
answers
27k
views
Looking for a mathematically rigorous introduction to game theory
I am looking for the best book that contains a mathematically rigorous introduction to game theory.
I am a group theorist who has taken a recent interest in game theory, but I'm not sure of the ...
8
votes
8
answers
5k
views
probability and math puzzle books/references [closed]
Hi All,
I'd like to solve some math puzzles, especially in the context of probability theory, but I'm open to other areas too. The kind of problems that does not require much knowledge of mathematics, ...
11
votes
8
answers
4k
views
Leibnizian calculus textbook
Where can I find a calculus textbook that emphasizes differentials?
Is there such a book that I could realistically require my calculus students to use?
I want a textbook that supports me when I tell ...
55
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 ...
18
votes
15
answers
14k
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 ...
29
votes
9
answers
13k
views
Book on symplectic geometry
Can someone please tell me some introductory book on symplectic geometry? I have no prior idea of the subject but I do know about Lagrangian and Hamiltonian dynamics (at the level of Landau-Lifshitz ...
20
votes
12
answers
10k
views
The best text to study both incompleteness theorems
Hi!
What text on both incompleteness theorems you would recommend for beginner?
Specifically, I'm looking for the text with the following properties:
1) The proofs should be finitistic, in Godel's ...
29
votes
9
answers
15k
views
Suggestions for good books on class field theory
Recently I tried to learn class field theory, but I find it is difficult. I have read the book "Algebraic Number Theory" by J. W. S. Cassels and A. Frohlich. In the book, the approach to class field ...
41
votes
8
answers
17k
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 ...
44
votes
19
answers
16k
views
introductory book on spectral sequences
I have studied some basic homological algebra. But I can't send to get started on spectral sequences. I find Weibel and McCleary hard to understand.
Are there books or web resources that serve as ...
41
votes
12
answers
30k
views
Introductory text on Riemannian geometry
I have studied differential geometry, and am looking for basic introductory texts on Riemannian geometry. My target is eventually Kähler geometry, but certain topics like geodesics, curvature, ...
24
votes
12
answers
9k
views
nonstandard analysis book recommendation
I wish to learn nonstandard analysis. Are there any good book recommendations? I'm familiar with the ZFC system, and learnt analysis the classical way. I've found some undergraduate texts, but they ...
62
votes
25
answers
70k
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 ...
53
votes
7
answers
14k
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 - ...
45
votes
17
answers
49k
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),...
64
votes
19
answers
99k
views
Suggestions for a good Measure Theory book
I have taken analysis and have looked at different measures, but I am currently looking at realizing a certain problem in a different light and feel that I need a better background in various measures ...
27
votes
29
answers
30k
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 ...
29
votes
19
answers
39k
views
Good books on problem solving / math olympiad [closed]
I would want all book tips you could think of regarding problem solving and books in general, in elementary mathematics, with a certain flavour for "advanced problem solving". An example ...
38
votes
26
answers
57k
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?
252
votes
37
answers
178k
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 ...