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.

Filter by
Sorted by
Tagged with
0 votes
0 answers
12 views

Reference recommendation for sobolev space on the unit sphere

Sobolev space on the unit sphere is usually defined with the help of spherical harmonics, but is there any reference where the equivalence to the classical fractional sobolev space definition is shown?...
4 votes
2 answers
2k views

Best book for learning multiple integrals, line integrals, Green's theorem, etc.

I've been searching for a book that teaches multiple integrals and such in a way that I can understand. I need to learn it quickly, so I don't need too much of the intuition, I just need to be able to ...
0 votes
0 answers
9 views

Book Recommendation on Edge or Boundary Detection

I have recently being interested in the estimation of discontinuities or jumps from noisy signals or densities and spend some time reading "Image Processing and Jump Regression Analysis" by ...
-4 votes
0 answers
38 views

Which book should I refer to learn Calculus

I am in 11th grade just near finals. Well After my exams I wish to learn calculus from exact start (I know basic differentiaton like $x^n$ and such)
1 vote
1 answer
41 views

Textbook Recommendations: Measure Theory to Supplement Asymptotic Statistics (van der Vaart)

I'm a math and economics undergraduate interested in econometrics and statistics. I'm trying to put together an independent study course (or courses) that will give me a working understanding of ...
5 votes
2 answers
4k views

Fairly rigorous multivariable calculus books

I'm looking for recommendations for a multivariable calculus book at a somewhat sophisticated level; somewhere between Stewart's Calculus and Munkres' Analysis on Manifolds. I'll have a background in ...
0 votes
0 answers
13 views

Product rules for Sobolev functions on $H^\alpha(S^{n-1})$

I'm looking for literature that handle the following question about product rule for Sobolev space on the unit sphere: Let $(Y^{(k)}_m)_m$ denote an orthonormal basis (wrt to $L^2(S^{n-1})$) for ...
0 votes
0 answers
9 views

Seeking Book Recommendations on Probability Concentration Inequalities and Their Applications

I'm looking for good exopository books and resources for probability concentration inequalities that covers both the theoretical aspects and practical applications of these inequalities. My interest ...
0 votes
1 answer
76 views

Book recommendation: A Calculus book with good balance of intuition and rigor

Can someone recommend a Calculus book that emphasizes and clarifies the intuition behind the theorems to the maximum, while at the same time is fairly rigorous? During my bachelor's in computer ...
0 votes
0 answers
31 views

Book Recommendations for Integral Geometry, focusing on Crofton's Formula and Applications

I am seeking recommendations for books or resources that provide an engaging introduction to integral geometry, with a particular interest in Crofton's formula and its various proofs. I am looking for ...
0 votes
0 answers
20 views

Ressources for the swallowing lemma

I am doing a bachelor project in Algebraic K-theory, and have run into the swallowing lemma, in particular in the proof that the $Q$ and $S.$ construction yield the same and in the proof of the ...
-3 votes
0 answers
37 views

Recommendations on polynomials least deviating from zero [closed]

I want some good references about topic of polynomial approximation Especially on two fascinating areas,:\emph{polynomials least deviating from zero} and \emph{best polynomial approximation}. I ...
1 vote
0 answers
41 views

Modern books similar to Hall and Knight

What books could serve as a modern equivalent to classics like Higher Algebra by Hall and Knight and Higher Algebra by Barnard and Child? Basically, what would be a modern rigorous, and comprehensive ...
1 vote
3 answers
142 views

The analogue of magazine "Quant"

As you know there is an amazing math magazine "Quant" which is in Russian language which contains a lot of interesting and challenging contest math problem. Are there any analogue in English language?...
0 votes
0 answers
51 views

Book recommendation with algebra problems for the Olympiad

I have been preparing for some time on this kind of Olympiad problems like the ones attached below. I am generally interested in equations, inequalities with logarithms, exponents, radicals etc. that ...
-3 votes
1 answer
164 views

what are $\mathcal{O}(x)$ and $\mathcal{o}(x)$? and where did they came from?

I often see $\mathcal{O}(x)$ or $o(x)$ notations in evaluating limits, sums and integrals like in this answer on one of my questions, but I have no idea what they mean. I thought that these notations ...
7 votes
1 answer
804 views

Book Request - General Relativity (for mathematicians)

Please can someone recommend some books on 'higher-level' (couldn't think of a better way to phrase...) books on GR? I've read over half of Wald (General Relativity) and I'm about to finish Carroll (...
3 votes
1 answer
97 views

What is the Second mean value theorem for integrals?

I was attempting to solve this limit $$\lim_{n \to \infty}\int_{0}^ \infty \frac{nx \arctan(x)}{(1+x)(n^2+x^2)}dx $$ After some time I gave up and saw the solution. The solution involves the Second ...
11 votes
3 answers
2k views

How much algebra and how much topology is there in "algebraic topology?"

I would like to study Hatcher's book, Algebraic Topology - in particular the fundamental group and introductory homotopy theory. I haven't had formal instruction in algebra or topology (my background ...
7 votes
2 answers
604 views

Looking for introductory text on algebraic topology, not satisfied with Hatcher.

I have no doubt that Hatcher's is a great text, but it is not for me. It is clearly written for someone with some prior knowledge of these topics, and I have none. For example, in the first few pages ...
2 votes
0 answers
60 views

How to self-study a sufficient real-analysis course [closed]

I'm currently a high school freshman trying to find some resources for studying higher math. I've read through some Intro to Proof books, Stewart's Calculus (and other supplementary calculus materials)...
1 vote
1 answer
298 views

Error Correction Codes - Book Recommendation

Could you, please, recommend me a well written book, with plenty of examples and exercises and suitable for self study in Error Correction Codes, which includes the following topics? Hamming ...
1 vote
0 answers
173 views

Cryptography books?

Not sure if this is the correct place to post. If not, maybe someone knows where I should go :) I am curious about cryptography and have taken some related courses through my studies. However I was ...
18 votes
8 answers
14k views

Companions to Rudin?

I'm starting to read Baby Rudin (Principles of mathematical analysis) now and I wonder whether you know of any companions to it. Another supplementary book would do too. I tried Silvia's notes, but I ...
33 votes
5 answers
15k views

Can the Bourbaki series be used profitably by undergraduates?

Can the Bourbaki series be used profitably by undergraduates and high school students?Are we the target audience? I came across the N.Bourbaki texts while surfing the internet(I have not had the ...
1 vote
0 answers
82 views

Searching for textbooks that teach math differently from other textbooks about the same subject. [closed]

Famous examples would be LADR (which to an extent eschews determinants) and Aluffi's Algebra (which involves some category theory). I would like more books in this vein, that either teach differently ...
1 vote
0 answers
67 views

Mastermind guessing

I'm reading this problem and I can understand how they got the output for the first four test cases. But the last one I can't really arrive at it. Is there some mathematical concept that I can apply ...
1 vote
0 answers
42 views

Book recommendation: integrable systems [closed]

I am looking for good math book on integrable systems, could you recommend any? Thanks
6 votes
8 answers
2k views

Book Recommendation for Integer partitions and $q$ series

I have been studying number theory for a little while now, and I would like to learn about integer partitions and $q$ series, but I have never studied anything in the field of combinatorics, so are ...
0 votes
0 answers
51 views

How does Fleming's Functions of Several Variables compare to other texts?

How does the book Functions of Several Variables by Wendell Fleming compare to texts like Spivak Calculus on Manifolds, Munkres Analysis on Manifolds, C.H Edwards Advanced Calculus of Several ...
7 votes
3 answers
2k views

K Theory: Book Recommendations

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'...
0 votes
0 answers
61 views

Seeking Advice: Optimal Study Methods and Sources for Advanced Linear Algebra Topics

Hello Math Stack Exchange community, I'm currently looking to delve deeper into advanced topics in linear algebra, including system of linear equations, eigenvalues and eigenvectors, vector spaces, ...
3 votes
3 answers
190 views

Any book between Apostol and Montgomery?

I studied Analytic Number Theory by Apostol (Introductory and Advanced vols) and I learnt very good! And because of that studying of the first two chapters of Montgomery's book was possible but it is ...
1 vote
0 answers
97 views

Can you recommend a good textbook for Algebraic geometry for a beginner?

I want to learn Algebraic geometry. My main focus will be on Varieties. Can you recommend a good textbook for Algebraic geometry for a beginner?
0 votes
0 answers
59 views

How can I fix my understanding of Numerical Analysis?

I am an undergraduate student taking Numerical Analysis. I’m having a hard time understanding some of the material because it feels as though my instructor is jumping all over the place. When it comes ...
5 votes
1 answer
2k views

Looking for first course textbooks on probability and statistics for math majors

I am taking a probability and statistics course soon and would like to find a text book that is targeted more towards math majors rather than engineers (which is what this class is). The book my ...
2 votes
1 answer
1k views

Suggested books that have an extensive treatment on Summation Notation

at the moment I'm looking for a book that has the following properties: Is accessible to math undergraduates, preferably not much higher than first or second year undergraduates. Treats summation ...
0 votes
0 answers
30 views

fourier analysis book with measure theory as prerequisities

Can someone lists out the good books on fourier analysis, but fourier analysis treatment should have prerequsities of measure theory, some Lp space, density knowledge etc. but at the same time easier ...
0 votes
1 answer
1k views

CP decomposition as a special case of Tucker decomposition

I am reading this article "Tensor Decompositions and Applications" by Kolda and Bader. On page 21, it says: ...CP [decomposition] can be viewed as a special case of Tucker [decomposition] ...
2 votes
1 answer
102 views

Concise texts for studying and overviewing mathematics with the goal of applying these concepts to physics

First of all, I apologize if this is not the place to ask such questions. Background I am trying to study mathematics in my free time, but I find it very time-consuming. Don't get me wrong, I am very ...
1 vote
0 answers
50 views

Books on co-Heyting algebras (with a view to their logics).

I would like to know more about co-Heyting algebras, particularly from the perspective of their logics (like paraconsistent logics). What books are available out there on the topic? It might be that ...
0 votes
0 answers
22 views

Show that $\lim_{K \to \infty} \sum_{k=-K}^{K} \hat{f}(k) e(k \alpha) = \dfrac{f(\alpha^+)+f(\alpha^-)}{2}.$

I am studying Multiplicative number theory I: Classical theory by Hugh L. Montgomery, Robert C. Vaughan. The following is the beginning of Appendix D: I could not understand the last sentence (the ...
0 votes
0 answers
17 views

What are some good learning materials for Affine Algebras

I am looking for resources - courses or books - that graduate students can take to learn Affine Algebras, preferably along with their generalizations and applications to physics. This post is inspired ...
2 votes
1 answer
252 views

Bertsimas & Tsitsiklis's Linear Optimization book

I just want to ask a question about the "level" of this book. In the book's preface it is written that the only prerequisite is knowledge of Linear Algebra. Is this book good for undergraduate ...
6 votes
1 answer
186 views

A literally challenging math book

The only way to learn mathematics is to do mathematics. - Paul Halmos Most books about uni-level mathematics follow a strict scheme of giving you the content and letting you practice with it with ...
2 votes
1 answer
978 views

book recommendation - formal systems

I'm looking for a strict book/pdf about logic which discusses formal systems in great detail. I only know basic stuff. It should cover: definitions (like $(\exists x \varphi\leftrightarrow\lnot\...
1 vote
1 answer
56 views

Seeking suggestions for a book with hard problems about surface and volume integrals

I am interested about the hard problem of surface and volume integral, so can anyone suggest me a book based on the problem on surface and volume integral (containing a lot of hard problem) for ...
3 votes
0 answers
68 views

Book recommendation on the theory of polynomial equations

So far I have not been able to find a book on my level about the theory of polynomial equations. I am taking a class on "advanced algebra" and one of the units is theory of equations, I'd ...
2 votes
0 answers
97 views

Discrete math at the graduate level

As a graduate student, I haven't delved deeply into several discrete math subjects such as combinatorics and graph theory. I have always felt that these areas often present a mishmash of techniques ...
0 votes
0 answers
76 views

Advice about a composite book or series on mathematics

My question is mainly about a good book or maybe a series of books which provide me a very a basic understanding of topic of mathematics on an University level. To be specific, is there any series for ...

1
2 3 4 5
69