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Questions tagged [book-recommendation]

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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4 votes
1 answer
147 views

I am interested in learning more about general vector bundle theory. More specifically, vector bundles of class $C^k$ for $k\in\mathbb{N}$ or $C^\infty$ or real-analytic whose fibers can be given the ...
2 votes
1 answer
1k views

S.E advisers, I have been hearing that the chapters on multi-varaible analysis in Rudin's PMA are almost nothing like previous insightful chapters in the single-variable analysis, and I verified ...
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 ...
6 votes
1 answer
1k views

I am trying to shift my research area from Pure math to math bio for various reasons. So whatever time I invested in my algebra is not of much use plus I have to make the basics of ODE and the ...
1 vote
0 answers
166 views

I recently started to be more interested about "classical AI" and in particular about knowledge graphs/ontologies. I was looking for a modern (written after 2015 if possible) and highly ...
3 votes
1 answer
150 views

I'm looking for a resource that covers the interplay between function and uniform spaces and k-spaces. All the texts I've seen so far cover one or two of the three, but never the full combination in ...
3 votes
0 answers
236 views

I have recently taken Course on Numerical Analysis. It is correspondence course. So i to do self study. I will be glad if someone mentions online videos and elementary books which contains following ...
1 vote
0 answers
98 views

I'm studying commutative ring theory from Hideyuki Matsumura's book, but it's so abstract that I try to come up with lots of concrete examples on my own---for instance, classifying commutative ...
1 vote
1 answer
121 views

I am an undergraduate in Mathematics, almost finishing the degree. Treatment of summations (sigma notation) has always bothered me, since in most cases we can convince ourselves that their ...
1 vote
3 answers
573 views

I'm in the last year of my undergraduate studies in mathematics and I would appreciate your oppinion in the following thought. Should I study Mathematical Logic, if I want to do further studies in ...
1 vote
1 answer
94 views

The Cauchy Integral Formula for Derivatives states that if $f$ is analytic inside and on a simple closed contour $C$, and $z_0$ is a point inside $C$, then for any integer $n \ge 0$, $$ f^{(n)}(z_0) = ...
1 vote
1 answer
981 views

Could I directly go to Lang's Algebra? Or should I supplement some gaps by Dummit and Foote?
4 votes
0 answers
3k views

I am an undergraduate student and I study mathematics by myself. I have studied Rudin’s Real Analysis, some linear algebra and of course calculus. Recently I realized that I forgot many things that I ...
2 votes
3 answers
3k views

I finished some elementary proof-writing courses, but I am not quite familiar with mathematical logic and set theory yet. Can you recommend some books that cover set theory and mathematical logic in ...
2 votes
2 answers
713 views

I am looking for suggestions about introductory books on classic control theory. Books that begin by trying to develop intuition to the reader using basic principles of the notion of control and ...
16 votes
3 answers
7k views

To make my question slightly different from others, I would like to know how would you rate on the complex analysis books by Ahlfors, Conway and Lang? I had a basic course on complex analysis during ...
10 votes
4 answers
4k views

Good people! So I've been hoping to get into K Theory for a while now, and the book that I have been trying to use (and failing) has been Charles Weibel's book by that very title. The book itself isn'...
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,...
0 votes
0 answers
111 views

I am looking for a book covering topics in algebra, specifically in rings and modules. I am a graduate student, so I do not want a very basic book. I have taken a look at the book by Dummit and Foote, ...
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 ...
0 votes
0 answers
90 views

Having just finished my masters, with my dissertation being heavily applied, but more than half of my credits in various abstract algebra courses(Modules, Semigroups, Number Theory etc.), I was ...
1 vote
0 answers
58 views

I’m studying the algebraic properties of free groups and would like to learn more about results such as: Structure of abelian subgroup of the free group. Let $F$ be a finitely generated free group ...
1 vote
3 answers
663 views

I just got a copy of the book A Course In Abstract Harmonic Analysis by Gerald B Folland so I want a problem book that could be used with it? Please give a list of problem books on Harmonic Analysis?
1 vote
1 answer
1k views

I started to learn abstract algebra via YouTube playlists and am loving it so far. However, I am really struggling to find good exercises with answers that show the process to find the answer and don'...
2 votes
4 answers
1k views

I am impregnated with the idea that pure mathematics is when you do mathematics in such a way that you begin with some set of axioms and definitions, and then you develop such things by means of logic....
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 ...
0 votes
2 answers
917 views

I've read some posts in the internet that to prepare the GRE Math Subject test, one has to go through all questions the Stewart's Calculus book. I have a copy of the Thomas' Calculus, which is quite ...
4 votes
5 answers
1k views

Lately, I've been finding that I often need to compute various things and graph some pretty complicated functions. I've realized that learning to program, especially in Python, could be really helpful ...
2 votes
1 answer
207 views

It should start from the very beginning deriving the Fourier series. I have tried a book by Elias M. Stein & Rami Shakarchi. It's a good book but they assume that reader has already been ...
6 votes
3 answers
2k views

I am having problems finding decent books on perturbation methods. I am looking for a book which covers asymptotic expansions, matched asymptotic expansions, Laplace's method, method of steepest ...
28 votes
10 answers
7k views

What books/notes should one read to learn model theory? As I do not have much background in logic it would be ideal if such a reference does not assume much background in logic. Also, as I am ...
1 vote
3 answers
3k views

I now realize that a big part of higher mathematics is proof construction, and it is an area I would like to get familiar with. I have found the book ‘how to prove it’ by Velleman, but am wondering ...
0 votes
0 answers
60 views

I asking about good book for undergraduate student to learn methods of mathematical proofs in more details and has lot of examples. I found "book of proof by richard hammack" but I want more....
3 votes
1 answer
146 views

A friend of mine is currently writing his Bachelor's thesis on the topic of elastic materials. In particular, this involves higher-order derivatives. These are naturally expressed in the language of ...
0 votes
0 answers
116 views

I am currently reading Ahlfors' Complex Analysis and am still in the early chapters. My impression so far is that the exposition is not particularly rigorous, though I may be mistaken. I prefer the ...
0 votes
0 answers
35 views

I'am a high schooler who's looking to participate at competitions like HMMT PUMAC or CMIMC, and i want something to work one apart from the original archive of the cited competitions especially Number ...
5 votes
1 answer
259 views

The philosophy of category theory is that we focus on relations between objects, but not on inner structure of objects. So, are there any algebra books that develop some area of algebra (for ex. ...
43 votes
7 answers
26k views

I am currently working on problems that require familiarity with calculus of variations. I am fairly new to this field. Please suggest a good introductory book for the same that could help me pick up ...
1 vote
0 answers
116 views

I'm looking to study the analysis of differential and integral calculus for functions of several variables from a rigorous perspective, with a particular emphasis on differential forms. My background ...
10 votes
3 answers
5k views

I would like to find a book that introduces me gently to the subject of stochastic processes without sacrificing mathematical rigor. It would be great if the book has lots of examples and that the ...
8 votes
1 answer
313 views

I took an undergrad class in complex analysis, and I would like to learn more complex analysis (as I have heard the field is very useful/inspiration for other things). My class did everything in open ...
4 votes
1 answer
889 views

I'm a physics student looking to start learning more about probability. Is there some introductory book on measure theoretical probability theory that includes sections on quantum probability? To ...
6 votes
1 answer
319 views

I am planning to study number theory, and as preparation I have studied high school–level differential and integral calculus (primarily single-variable), high school algebra, and a little abstract ...
7 votes
3 answers
984 views

I'm looking for textbooks or monographs on complex analytic spaces. I'm aware of Coherent Analytic Sheaves by Grauert/Remmert and Several Complex Variables by Gunning/Rossi, but more references would ...
2 votes
1 answer
1k views

S.E friends, Due to my genuine interest to Goldbach's conjecture, I decided to self-study the subject of additive number theory on this upcoming Fall. Before jumping to such fascinating field of ...
4 votes
3 answers
8k views

I'm trying to get a solid knowledge of linear algebra for statistics and machine learning. I didn't study math during college/university. I have the very basic knowledge of what is a dot product, a ...
6 votes
2 answers
784 views

I don't know if this is the best place to ask this question, but I'm sure many of you are familiar with the Bourbaki "dangerous bend" symbol: The idea behind the symbol is to indicate a ...
0 votes
0 answers
66 views

I'm trying to figure out the algebraic properties of the Cauchy product ($c_n=\sum_{k=0}^na_kb_{n-k}$). I'm doing it by myself and I feel like there should be some literature on it. I didn't find it ...
9 votes
1 answer
4k views

I'm taking a course on Electromagnetism that will cover the boundary-value problems -- the solutions to Laplace's and Poisson's equations for various symmetries, ranging from cartesian to spherically ...
16 votes
7 answers
6k views

I am very interested in studying modules. The algebra I have studied is the basic theory of groups and rings from Hungerford and Dummit & Foote. I was reading about modules in Dummit & Foote, ...

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