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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How to solve this post? [closed]

How long does it take to download a two-hour HD movie from the iTunes store? According to Apple’s technical support site, support.apple.com/en-us/HT201587, downloading such a movie using a 15 Mbit/s ...
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How to understand Godel's Theorems [duplicate]

Can someone with close to zero knowledge of higher mathematics understand Godel's Theorems or does he first have to learn some mathematics? If the answer to the first part of the question above is yes,...
1 vote
0 answers
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About a Book to Study Differential Geometry: Jean Gallier's Differential Geometry and Lie Groups: A Computational Perspective

“Differential Geometry and Lie Groups: A Computational Perspective” by Jean Gallier and Jocelyn Quaintance is a relatively new book (2020) about differential geometry. It seems that this book is ...
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RZH Inequalities, 1/2 confusion. Complex analysis reading recommendation.

I'm trying to understand why the requirement for 1/2 for convergence of the series for $\zeta(s)$. Any good recommended reading on this would be great. I have the below. What exactly is incorrect ...
2 votes
0 answers
63 views

Instructions on rigour for a beginner

I've just finished High School and I've always been very interested in math. Yesterday I was proving some very basic theorems on Geometry (Pythagorean/Hero's, sine/cosine laws/). At some point I ...
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Reference request: manipulations, AM/GM, norms and inequalities

Consider the following questions: Continuity of this two variable function with inequalities Continuity of a multivariable function: doubts on how to reason Another question on the procedure of ...
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5 votes
3 answers
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Math books beautifully designed

I'm looking for a math books that you consider that are beautifully designed, it may be by the fonts and the colors used, the structure of the content, equations with a beautiful font, plots ...
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2 answers
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MLE, a book: Statistical modelling and inference using likelihood

I have a problem with a likelihood interval; Here on the page $74$ in the example $4.1$ they write: IN CASE the link doesn't download Please copy the link and paste it to your web browser. The ...
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2 votes
0 answers
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Texts to initiate in the theory of homotopy

I want to begin a study of homotopy theory and its applications, I have come across the introductory texts by Arkowitz and Brayton Gray. Particularly, I have found the text of Arkowitz a little more ...
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Best workbook for Applied Linear Algebra

I am currently taking Applied Linear Algebra and we are using the book First Course in Linear Algebra Version 2017 By K.Kutler. I am looking for the best workbook with solutions with clear and ...
3 votes
1 answer
115 views

Category theory textbook for Banach algebras and Banach spaces

Do you know of a textbook at the graduate level about the common categories of functional analysis (such as the 2 categories of Banach spaces, the 2 categories of Banach algebras, the category of ...
3 votes
1 answer
96 views

Which "book(s)" complements "Combinatorial Problems and Exercises by László Lovász"? [closed]

I am trying to prepare for my entrance exam/interview to an Integrated-Master's and PhD programme in Mathematics in my country. Currently, I am an undergraduate student. I have been told that "...
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3 votes
1 answer
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Books about constructivist approach for proof

I'm interested about the constructivist approach to math, and how the proof works in thoose framework. What are good introductory books I can read? I'm interested in online sources
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Some references on Abstract Algebra [closed]

About two years ago, I read several pages of a book about set theory by chance, and I felt a sense of familiarity with an universe that I had deemed unfriendly since I was a youngster. Because of the ...
3 votes
0 answers
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Nonstandard Complex Analysis?

I recently discovered Nonstandard Analysis and am slowly working my way through Kelsier's textbook and Foundations companion. However while I have found plenty of stuff about real nonstandard ...
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0 answers
51 views

Best online lecture notes on probability [closed]

Are there any short expository articles (say 1~50 pages) on probability, combinatorics, optimization, or mathematical statistics? I am looking for something in the style of Keith Conrad or Andy Putman:...
2 votes
0 answers
57 views

Resources that help build intuition about mathematics

I am looking for any books or resources that help build intuition at a fundamental level about mathematics. I have a newfound interest in maths, after being away from it for years. Recently I started ...
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1 vote
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Entropy book recommendations: K-property & (weak) Bernoulli property

I want to study K-property and -automorphisms, Bernoulli property, weak Bernoulli property and connections between them and entropy, but can't find any literature that covers these topics, so I'm ...
2 votes
1 answer
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Graph Theory books/Resources for Mathematical Olympiad

I'm looking for some Books/Resources about Graph theory for Highschool Math Olympiad. I have some basic knowledge about counting, counting in 2 way, recursion, Bijection but have not learned about ...
4 votes
0 answers
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bourbaki style list of books

Soft Question: I know a lot of people dislike the definition theorem proof style of books but I love them. I don't mean the diffuclty of the orignal Bourbaki books, but the fact that they are self-...
4 votes
1 answer
134 views

Amann and Escher's analysis and Pugh's RMA. [closed]

I started studying real analysis with Rudin's book, but it's really terse, i somehow made it through the first chapter (After reading 3 times :D) and solved some problems but here we are, i feel like ...
0 votes
0 answers
64 views

A multivariable calculus book akin to the one by Terence Tao for Real Analysis

I am on my way to complete Analysis (vol. 1) by Terence Tao, and I must say that I completely fell in love with the way he taught the topic. Now, I wish to find a book akin to this one but which ...
0 votes
0 answers
41 views

Beginning algorithmic information theory

I was wondering if the stack-exchange community could provide me with some resources for beginning studies in algorithmic information theory, with a focus on how it intersects with computability, ...
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0 answers
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Best Textbooks for someone who wants to re-learn Calculus.

the TLDR is I am looking for a book to relearn Calculus. I finished Calc 3 past semester, but despite high nineties in all my Calculus classes, I don't feel like I learned much motivation for what I ...
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1 answer
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Resources on the grammar of Maths?

I recently came across a book called How to think like a mathematician, which covers some of the general principles behind reading, writing, and understanding undergraduate level mathematics. I would ...
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1 vote
1 answer
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How/where is this technique generalised and proven for other (standard, first order) logical operations (if possible)? A method of natural deduction.

Logic is something I am entirely self-taught in. Due to my resulting ignorance, it is difficult for me to search for the right things. Therefore, please excuse me if this has been asked before. The ...
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0 votes
1 answer
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What are your favorite books or textbooks dealing with operator algebras? [closed]

The title has it all. I am looking for some books with lot of exercises, and not very hard to read.
0 votes
1 answer
64 views

Books recommendations on stochastic analysis

I'm currently self-study stochastic analysis by reading Rogers' Diffusion,Markov processes and Martingales and other books as supplement.I found that every book had it's own preference and didn't ...
1 vote
0 answers
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Book recommendations for finite distance and angle solving-oriented, plane and/or solid geometry

I am looking for books that: having same spirits to many books that commonly known for their comprehensive treatment of Euclidean geometry (e.g. this). I am really aware to kind of those books ...
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(Introductory) Book suggestion about Groups, Rings and Fields

I am looking to buy an introductory book about 'Groups, Rings and Fields'. I see that the SUMS series (Springer Undergrqduate Mathematics Series) offers the book of D.A.R. Wallace. In the past I have ...
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-1 votes
1 answer
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Recommendation for Examples (calculations) to many topics in maths.

do you know good websites/books/PDFs in which many examples to topics are discussed? What I mean by that is, I am looking for sources where to each topic there are plenty of detailed discussed ...
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0 answers
40 views

Book recommendation (applied) cryptography at MSc level for self-study

I was wondering if anyone has a recommendation for a (self) study book at a master's degree level on (applied) cryptography? Thanks in advance
2 votes
1 answer
172 views

How to calculate integrals like $\int_{-\infty}^{\infty} e^{-x^2} dx$? [duplicate]

My question as hinted at in the headline, do you have a recommendations for a book, where explicitly these types of problems are discussed? No sure about $\int_{-\infty}^{\infty} ...dx$.
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0 answers
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Unitary Character Group: Book request

I am looking for books discussing unirary character groups. In particular, I am interested in the case where $G$ is a finitely generated abelian group. I suppose different authors use different ...
0 votes
0 answers
40 views

A feasible sequel to Stewart and Tall: Complex Analysis

I really do appreciate the book by Ian Stewart and David Tall on Complex Analyis. (sure, it has some minor flaws which are, nonetheless, not that relevant here). I especially like that they mention ...
3 votes
1 answer
91 views

Solutions to exercises of Graph Theory and Its Applications, Second Edition by Gross, Jonathan L.

I really like the book "Graph Theory and Its Applications, Second Edition" by Gross, Jonathan L., but I can't find the solutions to its exercises, even not on amazon. Can someone help me ...
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Exercices with solutions for the differential equations theory

I want to find a nice book on differential equations which contains a lot of exercices with their solutions. The subjects are the following: -local solution -existence and unicity of solutions -...
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0 answers
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Searching for an advanced Vector Analysis textbook with a geometric perspective for graduate PDEs background [duplicate]

I'm studying PDEs as a math graduate student, and I'm trying to build some solid geometric intuition, but I don't want to go into Differential Geometry yet. So, I'm searching for a Vector Analysis ...
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2 votes
1 answer
82 views

Is there any book "economics for mathematicians"? [closed]

If you search economics book there are plenty of them on the market. We may say the say about "mathematics for economists" or "application of mathematics in economics". But I've ...
2 votes
1 answer
68 views

Describing holomorph of dihedral group

Are there any articles or books, where ${\rm Hol}(D_{2n}$) ($D_{2n}$ is dihedral group of order $2n$), is described?Semidirect product seems like very hard thing to compute, but I'm interested whether ...
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2 votes
0 answers
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Rigorous introduction to statistics for self study

I want to start learning statistics. I have taken proof-based Calculus 1 and 2, as well as two proof-based courses in Linear Algebra (1 and 2). What is a good introductory-level (but rigorous enough) ...
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0 votes
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Mathematical Modelling reference request

I would like to self-study MATHEMATICAL MODELLING based on the following topics: Monte Carlo simulation modelling: simulating deterministic behavior (area under a curve, volume under a surface), ...
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2 votes
1 answer
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Recommended books for Spin Geometry [closed]

I would like you to tell me about the best introduction book for spin geometry, in particular, the following topics: Clifford Algebras from the foundation to the classification and their ...
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Book reference for functional analysis

Is there any book containing many problems (having solution) for functional analysis,like problems in mathematical analysis by kaczor nowak...
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Book recomendations for weak continuity. Functional analysis

I know how to characterize the continuity of a linear operator $T:X \to Y$ between normed spaces when I am working in the context of weak-to-weak, norm-to-norm and weak$^*$-to-weak$^*$ continuity. ...
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1 vote
0 answers
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Book recommendation and advice needed.

My question is regarding which texts to follow for Geometry and Combinatorics for Olympiad Preparation. I have done Geometry at a high school level and have a fair share of problem solving experience ...
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3 votes
0 answers
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Some good books for ODE and Dynamical system.

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 ...
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1 vote
1 answer
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Reference request for localization needed for project in algebraic geometry.

I am doing a reading project on algebraic curves and I need to learn about the concept of localization from commutative algebra for understanding the project topic.But my commutative algebra ...
6 votes
0 answers
127 views

Books consisting partially of flawed proofs

For context, I'm trying to get better at writing proofs, and, to that end, want to get better at recognizing proofs that are wrong in subtle ways. Recognizing incorrect proofs of true statements is ...
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2 votes
0 answers
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Applications of Pluripotential Theory in real world

I am reading for a math PhD with research in Pluripotential Theory (a subfield in Several Complex Variables). I particularly do study and develop theory related to extremal functions associated with a ...
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