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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The Art of Doing Science and Engineering - Back of the envelope math

In Hamming's new book, there's a section on doing 'back of the envelope math," a snippet of the page is below. The problem I'm having is that nowhere are several of the variables defined, making ...
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Good books/courses on min-max & non-convex non-concave optimization problems

I am looking for good books/courses on optimization that go beyond convex optimization. I am looking for min-max optimization + non-convex non-concave settings.
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Which topology, algebra and geometry books should I read in order to be better prepared to study differential geometry at graduate level? [closed]

At the moment, I am completing a master's degree in statistics where I have been studying the theory of copulas. I intend to pursue a doctor degree in statistics as well, but I'd like to deepen my ...
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25 views

What are some sources of recommendations of Mathematical books - both Recreational and Popular Mathematics as well as Technical Mathematics?

I'm a lover of books about Mathematics. However, I have noticed it's quite hard to stay in touch with new releases or book reviews in the world of Mathematics. I use GoodReads for recommendations in ...
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Solutions for the extension of separable variable differential equation

Referring to my previous question, Differential equations with separable variables: classification of solutions through categories, I have seen the resolution of this exercise which is resolved in ...
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Can Aluffi's Algebra Chapter 0 act as a starting point for learning abstract and (advanced) linear algebra?

I am a first year undergraduate student majoring in mathematics. Due to the travel ban caused by the Covid-19 outbreak, I am suspending my studies from my uni in the second half of the year (so I have ...
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Any advice on the textbooks used for calculus part of GRE Math Subject test

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 ...
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43 views

Books on Goppa Codes

During this summer, I am going to study Goppa Codes in Coding Theory. I have relatively good background in Algebra (including Galois Theory, Commutative and Noncommutative Algebra) and I have studied ...
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Good revision notes for complex variable and linear algebra

Are there any short notes on complex analysis and linear algebra (around 100 pages) with some exercises so I can refresh my mind on these two subjects? Initially, I had my study notes but I lost it ...
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37 views

Books on graph theory, assuming topology and abstract algebra

Last semester i took a course in Topology, and when addressing the Tijonov theorem, our professor mentioned (and proved) the Erdös theorem about c-colorings. Also, while preparing an algebra final and ...
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Plotting, book recommendation

My friend hinted that for her birthday she would like to get a book that explains how to make good, publishing-quality plots. I am not talking about tutorials about how to plot in Python or Matlab, ...
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“Mathematically mature” book on numerical analysis of PDE

I'm looking for a mathematically mature textbook on numerical analysis of PDE with a focus toward theory. Every book I look at seems to state in the preface that the book makes mathematical concession ...
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Function, relation and mapping resource recommendation

I am looking for a book to understand about function, relation and mapping basically want to focus on relations it's different types , concept of mapping and how function is a special application of ...
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References for Completed Tensor Product and Completed Tor

I'm reading Serre's Local Algebra. And there is a topic in there I would like to read more references about before I proceed. In Chapter 5, he defines the Completed Tor as $$\hat{Tor}_i^k(M,N):= \lim_{...
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211 views

Rigorous and comprehensive textbooks on precalculus [closed]

I am looking for comprehensive and rigorous textbooks on precalculus that provide proof for all the formulas and theorems they mention. You can suggest multiple books on different topics like ...
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Best book on multivalued functions [duplicate]

We know that a multivalued function is a function that takes two or more values for the same value of z. This happens due to the same value of the argument of z as one goes counter clockwise about 0 ...
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Differential equations with separable variables: classification of solutions through categories

When I had studied differential equations with separable variables at university in 1993, I had used category classification. Does anyone know any reference texts on this question? Here there is an ...
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29 views

Which book is best for learning to manipulate graphs of functions from beginner to advanced?

I wanted to learn how we can squeeze and rotate any curve. I got inspired from a YouTube video about batman equation but I think I should study such techniques properly from a book please suggest me a ...
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19 views

Geometry (Transformations) behind the holograms

I am an undergrad student currently studying Geometric Transformations (such as reflection, rotation, translation) and I need to write a paper about the Geometric Transformations behind holograms. I ...
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1answer
53 views

History of Gamma and Beta functions

I'm looking for a book on the history of gamma $\Gamma$ and beta $B$ functions! thank you in advance.
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Reference request: parameters of Möbius transformation by three points and images?

I am interesting in finding the four parameters of a Möbius transformation given three complex points $z_1$, $z_2$, and $z_3$, and their images $w_1$, $w_2$, and $w_3$. Wikipedia provides the ...
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1answer
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Book for The Lyapunov Function and topologically equivalent linear systems

I encountered the concept of the Lyapunov Function from the book Ordinary Differential Equations by Arnold. The book states the following lemma: Let $A:\mathbb{R}^n \to \mathbb{R}^n$ be a linear ...
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25 views

Basic infinite group theory source request

I'm an undergraduate student and recently I've had a first course in group theory. I could see that many theorems are stated for finite groups and some proofs just work for finite groups. I was ...
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52 views

Textbook on Optimization

Is there any recommendation for an introductory optimization textbook? If it covers linear programming, convex optimization and duality it would be enough. Preferably as concise (i.e., mathy, I don't ...
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33 views

Is Graph Theory is compulsory/essential for learning Combinatorics?

Is Graph Theory is compulsory/essential for learning Combinatorics ? Im newly learning combinatorics , I have two doubts in my mind $1.$ why graph theory is included in most of the combinatorics ...
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33 views

books on curvilinear coordinate systems

I need a textbook that includes curvilinear coordinate systems and explains things rigorously like cylindrical and spherical coordinates and different kinds of integrations like line integrals surface ...
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2answers
70 views

Best books for combinatorics for beginner

Best books for combinatorics for beginner Im weak in combinatorics I need a basic books for combinatorics that books must contain given below Topics $1.$Elementary combinatorics, $2.$combinatorial ...
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2answers
88 views

Proof for beginners

Hi guys I am looking for a book on proofs and how should I approach them. I have never done proofs before in my life and this is my first time. I have done basic mathematics by serge Lang that I saw ...
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49 views

which is the best books for Field theory ( except dummit n Foote)?

which is the best books for Field theory ( except dummit n Foote) ? I have dummit n Foote books but im not much comfortable with Dummit and Foote especially chapter $13$ Field theory I need a ...
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1answer
101 views

Book recommendations for High school/Pre University [closed]

Hi guys i am looking to learn a decent amount of mathematics in quarantine time. I thought it would good time to study mathematics before I start University but I am not sure where to begin I wanna be ...
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49 views

How to study Rosen book in discrete mathematics

I am student in computer science and want to build a strong background in mathematics. A teacher recommended Rosen's book but now I don't now how to study it with myself. Do you have advice, ...
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2answers
39 views

Show there exists $S$ which is self-adjoint such that $S^2=T^*T$ and $S$ is invertible.

Let $T:V\to V$ be a linear operator such that $T$ is linear and bijective. Also $V$ is a finite dimensional inner product space over $\mathbb R$. Show there exists $S$ which is self-adjoint such that ...
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38 views

Can anyone recommend a multivariate analysis book?

Can anyone recommend me a graduate-level multivariate analysis book? It is better with the solution manual. I do not need some special multivariate analysis methods. I just want to extend my ...
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2answers
96 views

Books on linear algebra more focused towards matrices and determinants rather than vector spaces

In my syllabus of a competitive exam, we have matrices and determinants and solving linear equations with them instead of linear algebra but during examinations a lot of the times questions are ...
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1answer
86 views

Best book Self teaching calculus at A level?

I am from Pakistan where I have completed the A level mathematics in my first year of a level. I plan on taking the further mathematics Course this year. I am looking for a good book to self teach my ...
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17 views

Miranda or Fulton for algebraic perspective on Riemann surface

I have read Donaldson, Riemann surface and it gives a nice (differential) geometric treatment for it. Now I want to supplement it by an algebraic perspective, and I'm told I should read either Fulton ...
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22 views

Learning Bifurcation Theory

I'm a physics graduate student. My interests are mainly statistical physics, so I usually deal with non-linear systems (both deterministic and stochastic). I did a dynamical system course, where we ...
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1answer
53 views

Books used for self-learning in Trigonometry

Were you ever able to locate a good book to self-teach yourself Trigonometry? Thanks...
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10 views

Books on stochastic prediction theory

I am reading the papers of Wiener and Masani on stochastic prediction theory. I do not have a statistics background, but for some reason I need to know this subject. My questions are: Can someone ...
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132 views

How should I self-study set theory/cardinality?

So, I am an absolute beginner in mathematics; only being knowledgeable in some basic ideas of the subject. My interest in math started only recently, while reading about set theory and cardinality (...
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2answers
71 views

“Modern analysis” books in languages other than English or Russian

I confess that I am not quite sure about the usefulness of this question, but after getting to know of a few textbooks in German and Portuguese, I've certainly gotten curious: Do you know of ...
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2answers
60 views

Reference for very basic books in Functional analysis

I'm confused about which books I have to read for Functional analysis for the beginner level. I need references for very basic books in Functional analysis and that book must contain given Topics ...
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54 views

Looking for an algebra book without any excercises just proofs and definitions

I want to have a book I can use to look up things - The problem I have with most books is that when I want to read a theory about something I usually have to read some background first. And it is ...
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91 views

Which measure theory book should I read after studying Terence Tao's Analysis I and Analysis II?

I am a master's statistics student who is just about to finish studying Terence Tao's Analysis I and Analysis II books and I really liked his way of teaching things. Besides its content, I also need ...
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48 views

What is the best option of a graduate multivariate statistics book?

Right now I am in the middle of a graduate multivariate statistics but I am feeling to easy at the moment. As a mathematician I study univariate statistics from "The theory of statistical inference : ...
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43 views

Information theory reference: comparison between Mackay to Thomas and Cover

I'm a computational neuroscience student with a background in mathematics. I want to learn information theory over the summer. I am interested in its applications to neuroscience, machine learning, ...
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1answer
43 views

Can someone recommend for me a text-book about applications of Taylor series?

I have text-books about Taylor series but they do not mention Taylor series applications. Can anyone please suggest a few references to learn the same?
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15 views

Boundary Value ODEs Reference Book

Can someone suggest me a book on Boundary Value Problems in ODEs, which start from the general theory, and then go on to specialize for self-adjoint values? All the books I have found discuss the self-...
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4answers
67 views

Textbooks in which determinant is defined as an alternating multilinear map

I'm interested in this abstract definition of determinant, i.e. determinant is defined as an alternating multilinear map. Could you please suggest me some Linear Algebra textbooks that define ...
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2answers
64 views

Logic and set theory books

I have studied real analysis, linear algebra, and how number sets are constructed from N, but now, i want to learn the foundations of math and some more advanced set theory (cardinals, ordinals), ...

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