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Questions tagged [book-recommendation]

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This tag is for questions about recommendation of books for some particular area, topic, problem. Use this tag together with (reference-request) tag.

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264 votes
6 answers
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I'm still a student, but the same books keep getting named by my tutors (Rudin, Royden). I've read Baby Rudin and begun Royden though I'm unsure if there are other books that I "should" be working on ...
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6 revs, 5 users 50%
Adam
249 votes
28 answers
83k views

What are the best books and lecture notes on category theory?
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11 revs, 6 users 60%
Hendrik Brummermann
248 votes
10 answers
89k views

I have a hazy notion of some stuff in differential geometry and a better, but still not quite rigorous understanding of basics of differential topology. I have decided to fix this lacuna once for all....
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217 votes
29 answers
168k views

I'm out of college, and trying to self-learn complex analysis. I'm finding Ahlfors' text difficult. Any recommendations? I'm probably at an intermediate sophistication level for an undergrad. (Bonus ...
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7 revs, 6 users 50%
MBP
211 votes
32 answers
123k views

Books on Number Theory for anyone who loves Mathematics? (Beginner to Advanced & just for someone who has a basic grasp of math)
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15 revs, 10 users 30%
Prasoon Saurav
191 votes
29 answers
225k views

Does anyone have a recommendation for a book to use for the self study of real analysis? Several years ago when I completed about half a semester of Real Analysis I, the instructor used "Introduction ...
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7 revs, 7 users 57%
CritChamp
161 votes
21 answers
163k views

I am a graduate student of math right now but I was not able to get a topology subject in my undergrad... I just would like to know if you guys know the best one..
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7 revs, 3 users 67%
gg1
158 votes
16 answers
219k views

I'm starting a very long quest to learn about math, so that I can program games. I'm mostly a corporate developer, and it's somewhat boring and non exciting. When I began my career, I chose it because ...
Community wiki
4 revs, 4 users 57%
Sergio Tapia
148 votes
23 answers
37k views

Perhaps this is a repeat question -- let me know if it is -- but I am interested in knowing the best of Dover mathematics books. The reason is because Dover books are very cheap and most other books ...
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4 revs, 3 users 100%
Three
144 votes
23 answers
90k views

What is your recommendation for an in-depth introductory combinatoric book? A book that doesn't just tell you about the multiplication principle, but rather shows the whole logic behind the questions ...
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3 revs, 3 users 100%
Anonymous
141 votes
16 answers
135k views

What are some of the best books on graph theory, particularly directed towards an upper division undergraduate student who has taken most the standard undergraduate courses? I'm learning graph theory ...
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2 revs, 2 users 100%
Dom
131 votes
15 answers
176k views

Last semester I picked up an algebra course at my university, which unfortunately was scheduled during my exams of my major (I'm a computer science major). So I had to self study the material, however,...
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3 revs, 3 users 95%
sxd
121 votes
10 answers
102k views

What is a good PDE book suitable for self study? I'm looking for a book that doesn't require much prerequisite knowledge beyond undergraduate-level analysis. My goal is to understand basic ...
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4 revs, 4 users 100%
Mykie
120 votes
18 answers
81k views

I am a EE grad. student who has had one undergraduate course in real analysis (which was pretty much the only pure math course that I have ever done). I would like to do a self study of some basic ...
EVK's user avatar
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114 votes
6 answers
72k views

The reference requests for analysis books have become so numerous as to blot out any usefulness they could conceivably have had. So here comes another one. Recently I've began to learn real analysis ...
Lee Wang's user avatar
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113 votes
13 answers
75k views

Due to my ignorance, I find that most of the references for mathematical analysis (real analysis or advanced calculus) I have read do not talk much about the "multivariate calculus". After dealing ...
Community wiki
9 revs, 2 users 98%
user9464
105 votes
16 answers
51k views

I post this question with some personal specifications. I hope it does not overlap with old posted questions. Recently I strongly feel that I have to review the knowledge of measure theory for the ...
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2 revs, 2 users 100%
newbie
103 votes
19 answers
11k views

I've recently purchased Oliver Byrne's reproduction of Euclid's Elements. It's a beautiful tome, that's rather unique in its presentation of the material as it demonstrates many of Euclid's proofs as ...
seeker's user avatar
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100 votes
31 answers
10k views

I'm looking for a book to read to my kids. NOT a kids book, but not too mature for a kid. My youngest kid that reads with me is 6 and the eldest is 10. I'm looking for a book that is good literature, ...
Jeremy Campbell's user avatar
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100 votes
12 answers
160k views

As a programmer, mathematics is important basic knowledge to study some topics, especially Algorithms. Many websites, and my fellows suggest me to study Discrete Mathematics before going to Algorithms,...
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5 revs, 4 users 67%
idonno
95 votes
30 answers
53k views

I'm not a real Mathematician, just an enthusiast. I'm often in the situation where I want to learn some interesting Maths through a good book, but not through an actual Maths textbook. I'm also often ...
Community wiki
8 revs, 6 users 94%
Edan Maor
86 votes
12 answers
38k views

I recently had a course on functional analysis. I was thinking of studying the mathematical applications of functional analysis. I came to know it had some applications on calculus of variations. I am ...
gamma's user avatar
  • 954
85 votes
29 answers
11k views

I am aware that there are answered similar questions on here, however I am specifically after a text that would be engaging for a professor of mathematics, also Fellow of the Royal Society (FRS). He ...
Kino's user avatar
  • 999
85 votes
8 answers
22k views

I am searching for a book to study physics. So far, I've been suggested Resnick, Halliday, Krane, Physics, but it doesn't seem to be very suited for a math major. Can you suggest some more ...
Dal's user avatar
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84 votes
5 answers
33k views

(Note that I have used bold text frequently simply to highlight the key points of my question for those who do not have the time to read through it thoroughly (it is not very long, however); I hope ...
Amitesh Datta's user avatar
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82 votes
6 answers
24k views

My goal is to pick up some commutative algebra, ultimately in order to be able to understand algebraic geometry texts like Hartshorne's. Three popular texts are Atiyah-Macdonald, Matsumura (...
Community wiki
3 revs, 3 users 100%
Cantor's Paradise
81 votes
13 answers
49k views

Ok so I read the following article the other day: http://www.aimath.org/E8/ and I wanted to learn more about lie groups. Using my exceptional deduction skills I thought "oh it must have something to ...
Asinomás's user avatar
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81 votes
3 answers
104k views

I know this is a subjective question, but I need some opinions on a very good book for learning differential equations. Ideally it should have a variety of problems with worked solutions and be ...
Finance's user avatar
  • 1,333
79 votes
14 answers
66k views

I just started to learn mathematical logic. I'm a graduate student. I need a book with relatively more examples. Any recommendation?
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3 revs, 3 users 100%
ciciplus
77 votes
9 answers
68k views

Allen Hatcher seems impossible and this is set as the course text? So was wondering is there a better book than this? It's pretty cheap book compared to other books on amazon and is free online. ...
Community wiki
2 revs, 2 users 100%
simplicity
75 votes
9 answers
39k views

I was studying some hyperbolic geometry previously and realised that I needed to understand things in a more general setting in terms of a "manifold" which I don't yet know of. I was wondering if ...
Community wiki
3 revs, 3 users 100%
user38268
72 votes
4 answers
26k views

I am now considering about studying algebraic topology. There are a lot of books about it, and I want to choose the most comprehensive book among them. I have a solid background in Abstract Algebra, ...
Arsenaler's user avatar
  • 4,080
69 votes
8 answers
32k views

I'm trying to find good books on the history of mathematics, dating as far back as possible. There was a similar question here Good books on Philosophy of Mathematics, but mostly pertaining to ...
Community wiki
4 revs, 3 users 57%
Philoxopher
69 votes
7 answers
11k views

I would like to understand differential forms more intuitively. I have yet to find a book which explains how the use of the exterior product in differential forms ties into the geometrical ...
Markus's user avatar
  • 693
67 votes
11 answers
33k views

What are the best algebraic geometry textbooks for undergraduate students?
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6 revs, 5 users 100%
tobias
67 votes
4 answers
7k views

I have been able to find several counterexample books in some math areas. For example: $\bullet$ Counterexamples in Analysis, Bernard R. Gelbaum, John M. H. Olmsted $\bullet$ Counterexamples in ...
Amzoti's user avatar
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66 votes
6 answers
27k views

It seems that Robin Hartshorne's Algebraic Geometry is the place where a whole generation of fresh minds have successfully learned about modern algebraic geometry. But is it possible for someone who ...
Hooman's user avatar
  • 3,827
64 votes
12 answers
48k views

I plan to self-study linear algebra this summer. I am sorta already familiar with vectors, vector spaces and subspaces and I am really interested in everything about matrices (diagonalization, ...), ...
Mike's user avatar
  • 641
63 votes
16 answers
146k views

Which books are recommended for learning math from the ground up and review the basics - from middle school to graduate school math? I am about to finish my masters of science in computer science ...
user avatar
63 votes
4 answers
42k views

The introductory part of this book briefly describes the popularity of mathematics in Soviet Russia. It touches on Russian mathematical circles and generally how society in Russia took to mathematics ...
seeker's user avatar
  • 7,359
62 votes
5 answers
75k views

Does anyone have any suggestions for abstract algebra books particularly suited to self-study? Here is some background and motivation, if it's helpful. I'm currently a junior in high school, but I ...
Community wiki
5 revs, 4 users 68%
yunone
61 votes
6 answers
68k views

I am looking to expand my knowledge on set theory (which is pretty poor right now -- basic understanding of sets, power sets, and different (infinite) cardinalities). Are there any books that come to ...
InterestedGuest's user avatar
  • 5,416
59 votes
12 answers
43k views

I'm looking for a book to learn Algebra. The programme is the following. The units marked with a $\star$ are the ones I'm most interested in (in the sense I know nothing about) and those with a $\circ$...
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4 revs, 2 users 100%
Pedro Tamaroff
58 votes
10 answers
20k views

The title of the question already says it all but I would like to add that I would really like the book to be more about geometric algebra than its applications : it should contain theorems' proofs. ...
Community wiki
7 revs, 5 users 75%
Toussaint
58 votes
5 answers
67k views

I'm in a numerical analysis course right now and it's pretty rigorous but I'm enjoying it a lot. I took a lower level course before that was more oriented towards implementation of numerical methods, ...
asdfghjkl's user avatar
  • 1,455
57 votes
14 answers
46k views

Which textbook is good for introductory group theory?
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4 revs, 4 users 67%
Vafa Khalighi
57 votes
1 answer
9k views

What textbooks on higher category theory are there? What books do you recommend? I am looking for self-contained introductions, no research reports. There are lots of informal summaries and arXiv ...
Martin Brandenburg's user avatar
  • 184k
57 votes
7 answers
6k views

I am asking for a book/any other online which has the following quality: The book, before introducing a particular topic (eg. Calculus/Topology) poses some questions which are answered by the topic (...
user avatar
56 votes
24 answers
31k views

I'm a mathematics undergrad student who finished his first university year succesfully. I got courses of calculus, but these weren't very rigorous. I did learn about stuff like epsilon and delta ...
user avatar
56 votes
6 answers
40k views

I am in high school and have no access to a professor or anyone. I previously used Calculus Volume I by Tom Apostol and Spivak's Calculus (for the differential calculus bit). I can choose between ...
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