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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1answer
35 views

Hairy ball theorem for beginners

I am intended to teach about the hairy ball theorem to some students with little background in proper courses in mathematics. Only linear algebra and some vector calculus would be assumed.(and ...
2
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3answers
70 views

Is there a comprehensive book, contains (algebra, trig, calculus, differential equations, statistics, …)?

Best mathematical book that include all of the following: Algebra and linear algebra: (Numbers, fractions, exponents, log, factoring, equations, matrices and determinants, etc...) Trigonometry: (Trig....
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2answers
53 views

Book for Mathematics applied to engineering

I need a reference (book or lecture notes) for engineering which covers the following subjects: Preliminaries of integration, series of functions, simple and uniform convergences. Laplace Transform ...
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0answers
41 views

Textbook recommendation on Inverse Problem Theory

I am looking for a textbook on inverse problem theory, which includes both Regularization and Bayesian approach for inverse problem solving, including data assimilation, preferably machine learning ...
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0answers
48 views

Best book for contest maths? [on hold]

Can anyone please suggest me any good book for contest maths which has both theory and problems. I am beginner in this area but I feel that I have an ability to learn and absorb concepts quickly. I ...
4
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3answers
109 views

Differential Equations self-study

I have become a TA for a professor who teaches differential equations. The course is basically a self study course where students are to use their previous knowledge to explore and teach themselves ...
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2answers
24 views

A recommendation for books on Lie algebra representation

I am looking for a holistic book on lie algebra representation, including the infinite dimensional cases. I heard Humphrey book is standard but it does not seem to include the infinite dimensional Lie ...
3
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0answers
42 views

Second Metamathematics Book Suggestion

I worked through Kleene’s Introduction to Metamathematics and am interested where we stand in the field 70 years later. What are some good text suggestions in modern metamathematics to follow this ...
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0answers
18 views

representations of functions - a project [closed]

I am embarking on a project this year researching representational problems, specifically; how a function is mathematically represented. At the moment the idea is pretty broad and general, it will ...
2
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2answers
82 views

Textbook recommendation for Advanced (undergrad) Linear Algebra

I am a pure math major. I am taking a one-semester course covering the following topics: Inner Product Spaces, Direct Sums of Subspaces, Primary Decomposition Theorem, Reduction - (triangular, ...
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0answers
35 views

Resources to learn Tensors

what are some good resources to learn tensors and tensor algebra for Machine Learning? I searched for a lot of resources, but couldn't find any, especially related to Machine Learning. Any help would ...
0
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1answer
28 views

Books for highschool students to increase exposure to methods/ techniques in algebra, calculus, Coordinate Geometry

I want to know about mathematics books for high school students which focus more towards exposure of a student to different methods or ways of solving problems in Algebra, Calculus , Coordinate ...
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0answers
48 views

Problem Book in Elementary Maths

I would like a book recommendation. Could you kindly point out some Olympiad style problem compilations, with relatively easier problem, but escalating with time. Topics must include Algebra, ...
1
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0answers
56 views

Linear algebra book for previous graduate student

I graduated maths in ~2014 and since then have been more doing software. I would like to "restudy" linear algebra and I am looking for a book recommendation for my profile, i.e. that book should not ...
1
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1answer
45 views

Looking for references about rigorous mathematical treatments.

I am looking for a very rigorous calculus book that covers the topics of operators in curvilinear coordinates and an introduction to the tensor calculus. I've already read Cartan's book about ...
3
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1answer
70 views

Introductory material for formal writing?

I've noticed that some graduate students never learned how to write a formal or at least a clear definition of a concept or a problem description. So instead of something like For all $n \in \...
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1answer
28 views

Accessible first book/resource on differential algebra

I am very interested in learning about the conditions under which a function can be integrated in elementary terms, a topic that I understand falls within the purview of differential algebra. Having ...
0
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0answers
24 views

Suggestion of book covering well elementary matrix operations

I'm looking for some material that covers transformations as composition of elementary matrix, i don't know if it is clear as i'm stating, but if anyone have any suggestions i'm up to looking it up
1
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1answer
39 views

Looking for a rigorous treatment about Laplace transform.

I am looking for a book that deal with integral transforms in a very rigorous way, Fourier analysis I discover that functional analysis and Lebesgue Integral books cover the Fourier analysis( With a ...
2
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0answers
38 views

Actuarial math behind job loss insurance

I am interested in the actuarial math behind job loss insurance (not as unemployment benefits made by some governmental insurance system but rather as a cover against involuntary job-loss offered by ...
4
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6answers
115 views

Reference for Functional Analysis [duplicate]

I am in search for Functional Analysis Books. I need a book which have lots of elementary problems. I mean it should force us to think more which will give a deeper insight for functional analysis. ...
1
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0answers
29 views

Studying Product Spaces: Recommendations

I have some free time and I want to use it to revise product spaces from a general/universal perspective. Coming from Analysis and coming across them all the time (I feel so atleast), I am willing to ...
5
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5answers
440 views

Calculus Books, preferably Soviet.

I would like some book recommendations on calculus books for novices. I love old Russian texts and if you you suggest such books(no issue if they are rigorous), I would be very grateful. If the text ...
1
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1answer
70 views

The tree of $\langle a,b|a^2=b^3\rangle$.

I want to draw the usual tree that $G=\langle a,b|a^2=b^3\rangle$ acts on. EDIT THIS IS WRONG So I wrote $G=\mathbb{Z}_2*\mathbb{Z}_3=\langle a\rangle*\langle b\rangle$. I set $G_0=\{e\}$ the ...
3
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1answer
37 views

Probablity/Statistical Inference Important Questions (problems) Collection for Interviews and Understanding of Concept

This might be irrelevant here! But I would really appreciate your help! It would definitely help lot of us preparing for Interviews in Data Science domain. I am looking for a book/github/ any ...
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2answers
40 views

Book recommendation for proving theorems [duplicate]

I love proving different things on mathematics, I mean, I love knowing where math theorems, methods and formulas come from. But most math books don't prove or show that kind of things. Do you know any ...
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0answers
37 views

How does formal systems relate to computer science?

Could you also please recommend some books or articles on this topic? I have only found this article on this topic: http://legacy.earlham.edu/~peters/courses/logsys/machines.htm but I would ...
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0answers
37 views

Reference books for Homolology and Cohomology using Algebraic approach.

I am a newcomer for Homology. I want to study homology and cohomology for research purpose, using the algebraic approach. I was studying the research paper Homology of multiplicative Lie rings(https://...
2
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1answer
63 views

Books for Putnam “Theory” Books

While there are many answers on SE about Putnam{A B C D E}, nearly all of them focus only on problem solving and assume that the student already has the basic prerequisite mathematical knowledge for ...
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2answers
57 views

Book recommendation on Fourier analysis technique for PDE

I want a graduate-level textbook which discusses Fourier analysis techniques for solving PDE. To elaborate what I want to study, consider the Laplace operator $-\Delta$. Since the differential ...
7
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2answers
133 views

Where to go after “olympiad math”? [closed]

So over the past couple of years, I've been studying what I'd like to call "olympiad math"(so not subjects that require a lot of theory such as linear algebra, calculus, real analysis, etc but instead,...
1
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1answer
77 views

Insightful books on probability?

Thanks for reading - this is a book recommendations question. I'm looking for books that deal with probability conceptually. For example, I'd like books that address questions like: Why can we make "...
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0answers
18 views

What field “links” systems of differential equations with graph theory?

This is a hard question to put into words. Please be patient with me. In graph theory, we have a set $V$ of vertices and a set $E$ of edges. The elements of $E$ are usually 2-tuples, or something ...
2
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0answers
51 views

ordinal numbers and topology

An ordinal number is a set $\xi$ such that: $\zeta\in\xi\Rightarrow \zeta\subset\xi$ $\zeta,\eta\in\xi\Rightarrow \zeta=\eta$ or $\zeta\in\eta$ or $\eta\in\zeta$ $\emptyset\not=A\subset \xi\...
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0answers
30 views

I need help with book

am electronics engineering student. Can any body here suggest me best book on math (applied math) such that i understand and get essence all mathematical concepts related to electronics engineering ...
2
votes
1answer
58 views

Book of calculus [duplicate]

Sometimes I want to test the concepts of calculus in practice, but the most popular books like Thomas/Maurice is a little approach to me.Does someone know a book that works with calculus in ...
4
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0answers
82 views

Soft Question: Textbook for first graduate course in Functional Analysis

I will be studying Functional Analysis for the first time, at the first-year grad school level. My relevant background is $1$ basic course in Topology and $1$ basic course in Measure Theory. I was ...
0
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0answers
14 views

Perturbation of Jacobi polynomials

Let us consider the inner product satisfied by Jacobi polynomials $$\int _{a}^{b}(b-x)^{\alpha }(a+x)^{\beta }P_{m}^{(\alpha ,\beta )}(x)P_{n}^{(\alpha ,\beta )}(x)\,dx$$ where $a=0$, $b=1$ and $\...
0
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1answer
36 views

Math Books with Problems For Quantitative Trading

I am looking a book or two that will teach me the fundamental math skills needed for quantitative / algorithmic trading. Preferable criteria: The book should contain problems which I am expected to ...
1
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1answer
57 views

Textbooks on Malliavin Calculus

I am looking for book(s) to learn Malliavin Calculus from. Some books that I have come across are, Stochastic Analysis By Paul Malliavin Malliavin Calculus for Levy processes with Applications to ...
1
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0answers
42 views

Prerequisites for the complex analysis part of Rudin RCA

What are the prerequisites for the complex analysis part of Rudin Real and Complex analysis book? Is it possible to start studying the complex analysis part with the knowledge acquired from the first ...
2
votes
1answer
55 views

Book recommendations for highschool algebra for concepts and hard problems

I am looking for a book recommendations for learning algebra for high school. Usually my exams(national level competitions) may even ask some of the things that are a bit beyond the syllabus, and ...
0
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2answers
78 views

What should I study to prepare for College Algebra?

I'm taking College Algebra this fall (Math 111 at my school.) Math has never been my strong point and it's something that I've always struggled with a lot. School starts on September 25th, and I ...
3
votes
2answers
47 views

Looking for a book on a 1st differential equations course [duplicate]

I'm currently taking differential equations but the guide book (Elementary differential equations and boundary value problems) is aimed for engineers (much like the calculus one from Stewart). I'm ...
3
votes
3answers
77 views

Are there any notebooks of famous mathematicians, through which we can understand their thinking and learning process?

Please name some published/preserved notebooks of famous (or not so famous) mathematicians, which you think reflect their learning or thinking process. Notebooks which contain mistakes are highly ...
1
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3answers
68 views

Book recommendation for proof?

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 ...
4
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2answers
124 views

I need a little help with real analysis. [closed]

I once decided that I want to understand real analysis. It's looks exciting, construction of sets of numbers and something else, I forgot already. I learned some logic, propositional logic and ...
1
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1answer
54 views

Book recommendation: compact Riemann surfaces

I am currently reading Jost' Compact Riemann Surface. Can someone recommend some books on the same topic (more specifically, chap. 2-4 of Jost's book), but with more detailed explanations and proofs?...
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0answers
24 views

Books similar to Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller

I find the book Fifty Challenging Problems in Probability with Solutions by Frederick Mosteller. I would like to solve more probability problems whose levels are similar to book above. Does anyone ...
1
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3answers
72 views

A good textbook to learn about entropy and information theory

I’m wondering if someone could recommend me a good graduate level textbook or resource to better learn about entropy and information theory, divergence criteria and so on. I have had two graduate ...