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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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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
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
17 votes
8 answers
16k views

I've already taken my calculus sequence and I'm interested in brushing up and staying sharp on the basics. So far, my calculus background is limited to single-variable calculus, which I applied in my ...
Community wiki
5 revs, 3 users 59%
Thomas Owens
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,...
Community wiki
3 revs, 3 users 95%
sxd
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
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 ...
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9 revs, 2 users 98%
user9464
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
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
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....
Harddaysknight's user avatar
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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
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
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
18 votes
6 answers
27k views

What mathematical knowledge do I need to begin studying linear algebra? In particular, how much calculus do I need to know? Also, do you have a favorite linear algebra book you can recommend?
Isaac Kleinman's user avatar
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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
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
40 votes
6 answers
52k views

Please, recommend high-level and modern books on linear algebra (not for first reading). Like Kostrikin, Manin "Linear algebra and geometry" or respective chapters of Lang "Algebra".
Canis Lupus's user avatar
  • 2,665
48 votes
9 answers
102k views

Well I have not started calculus yet but I am really keen to. I would love if you suggest some books. Points to be noted: I really don't like the way textbooks are written so please no "textbooks" I ...
Community wiki
6 revs, 5 users 41%
Lucyfer Zedd
13 votes
7 answers
41k views

I'm a high school student who is trying to figure out a complete course of self-study for each year of high school. How can I self-learn grades of math without devoting too much time? This is a ...
Fyri's user avatar
  • 131
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 ...
Community wiki
4 revs, 4 users 100%
Mykie
56 votes
8 answers
34k views

I want to do a survey of textbooks in set theory. Amazon returns 3582 books for the keywords "set theory". A small somewhat random selection with number of references in Google scholar is the ...
Community wiki
17 revs, 6 users 65%
RParadox
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 ...
Community wiki
2 revs, 2 users 100%
newbie
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
  • 21.5k
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 ...
Community wiki
2 revs, 2 users 100%
Dom
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
42 votes
13 answers
37k views

I've taken up self-study of math. (How smart can that be?) I've just about finished a course in real analysis which spent a lot of time on metric spaces and some time revisiting calculus. I was ...
Community wiki
3 revs, 3 users 100%
user12802
18 votes
6 answers
3k views

Do you know any good book that deals extensively with identities obtained using combinatorial and/or probabilistic arguments (e.g., by solving the same combinatorial or probability problem in two ...
digital-Ink's user avatar
  • 2,105
10 votes
2 answers
3k views

A while ago I saw this question Quartic diophantine equation: $16r^4+112r^3+200r^2-112r+16=s^2$ which was very relevant to a undergraduate research paper I am currently working on. The answer given ...
AnotherPerson's user avatar
  • 5,998
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
  • 108k
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
45 votes
1 answer
17k views

I am an undergrad, math major, and I had basic combinatorics class using Combinatorics and Graph Theory by Harris et al before (undergrad level). Currently reading Stanley's Enumerative Combinatorics ...
John Dynan's user avatar
  • 607
249 votes
28 answers
83k views

What are the best books and lecture notes on category theory?
Community wiki
11 revs, 6 users 60%
Hendrik Brummermann
46 votes
16 answers
39k views

I want a really good book on Complex Analysis, for a good understanding of theory. There are many complex variable books that are only a list of identities and integrals and I hate it. For example, I ...
Community wiki
6 revs, 3 users 70%
Gastón Burrull
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
  • 1,359
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?
Community wiki
3 revs, 3 users 100%
ciciplus
37 votes
8 answers
44k views

Can someone recommend a good basic book on Geometry? Let me be more specific on what I am looking for. I'd like a book that starts with Euclid's definitions and postulates and goes on from there to ...
Dave's user avatar
  • 621
16 votes
4 answers
21k views

Anyone can suggest me one or more good books on Statistical Inference (estimators, UMVU estimators, hypothesis testing, UMP test, interval estimators, ANOVA one-way and two-way...) based on rigorous ...
Community wiki
4 revs, 4 users 62%
unlikely
11 votes
1 answer
9k views

This question is a generalization of the common question asking for calculus references. It is here to abstract away the repetition, and give a canonical resource for calculus references. I'm ...
Community wiki
davidlowryduda
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
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
23 votes
3 answers
13k views

I am currently self-studying abstract algebra from Artin. In that background, I am looking for a problem book in a spirit somewhat similar to Problems in Mathematical Analysis by AMS so that I have a ...
user avatar
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
42 votes
4 answers
6k views

Perhaps this question has already been asked (if so, please let me know) but I am looking for books that appeal to visual learners. I discovered that I am able to understand concepts much quicker ...
qmd's user avatar
  • 4,453
26 votes
8 answers
20k views

I read single variable calculus this semester, and the course is using Thomas Calculus as the textbook. But this book is just too huge, a single chapter contains 100 exercise questions! Now I'm ...
Community wiki
3 revs, 3 users 100%
george
14 votes
4 answers
8k views

I don't know whether the books metioned in Best ever book on Number Theory are beyond undergraduate/high-school-olympiad level. Please recommend your favourite.
Community wiki
4 revs, 3 users 50%
Covi
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
53 votes
25 answers
8k views

I am struggling to pick out books when it comes to self studying math beyond Calculus. My situation is as follows. I have taken all math courses at my school (up to Calc BC and AP Stats) and I have ...
schmidt73's user avatar
  • 698
52 votes
9 answers
51k views

I consider myself relatively good at math, though I don't know it at a high level (yet). One of my problems is that I'm not very comfortable with geometry, unlike algebra, or to restate, I'm much more ...
Community wiki
5 revs, 5 users 100%
Pedro
52 votes
12 answers
40k views

what are some good books on probabilities and measure theory? I already know basic probabalities, but I'm interested in sigma-algrebas, filtrations, stopping times etc, with possibly examples of "...
lezebulon's user avatar
  • 1,404
26 votes
7 answers
25k views

Does anybody know of a good book in real analysis for self study for a beginner? What about Analysis 1 by Terence Tao?
Shreya's user avatar
  • 3,175
26 votes
6 answers
6k views

I am looking for some material (e.g. references, books, notes) to get started with Lie Groups and Lie Algebra. My motivation is that I (eventually) want to understand the theory underpinning papers ...
Damien's user avatar
  • 1,696

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