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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0answers
25 views

Is Tu's “Introduction To Manifolds” a good place to pick up diff-geo intuition for Vakil's notes?

So I want to study algebraic geometry from Ravi Vakil's notes. However, the only thing I seem to be missing -- I have all the official prerequisites like commutative algebra and point-set topology ...
0
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1answer
40 views

Books like Anold's Real Algebraic Geometry

I am looking for books on the topics covered in Arnold's Real Algebraic Geometry which doesn't have too many pre-requisites.I don't expect it to be written in the same style as Arnold's which is truly ...
-4
votes
1answer
57 views

I need this book by Michael Weinstein, Between nilpotent and solvable [on hold]

I need this book by Michael Weinstein, Between nilpotent and solvable. I live in iran and i can't find this book. Please help me.
1
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3answers
96 views

Good algebra book to cover these topics?

I will be studying two algebra modules next year and I am looking for a comprehensive book that will cover both of them, however due to having very minmal exprience with algebra I am looking for your ...
2
votes
2answers
37 views

Soft Question: Combinatoric reading material

I am curious if anyone can recommend a good introductory text on combinatorics in similar vein as Richard J. Trudeau's Introduction to Graph Theory put out by Dover. For those who have not read it, ...
0
votes
1answer
43 views

What are some easier papers/books I can read? [on hold]

I'm trying to improve my ability in reading mathematics papers. My field is more related to biological sciences, but there are a lot of interesting papers I'd like to read that use more mathematical ...
2
votes
1answer
32 views

What is a good book for learning Stochastic Calculus?

I am in search of a good book for learning Stochastic Calculus from a purely mathematical/statistical point of view. Almost all the books I see are based on Finance. Also, please specify the ...
0
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0answers
20 views

Introduction to Topological Modular Form

Where can I find some good introductory reading to the topic of Topological Modular Form or some related topic? Thanks.
4
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4answers
73 views

Books on Prime numbers

I am a graduate student and have just finished Burton's book on number theory. Now I want to read further on prime numbers. Does anyone have any suggestion?
2
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0answers
51 views

QFT and topology

I have had a course in topology, I have heard of homotopy quantum field theory and topological field theory, but I dont know anything about QFT, what would be a good starting point to learn about the ...
-8
votes
1answer
76 views

The greatest book on calculus ever written, if Spivak didn't exist [closed]

If Spivak, supposedly, did not exist....who would replace him as the author of the greatest book on calculus ever? And please, don't just list a name of books like an absolute imbecile. Give us your ...
2
votes
0answers
34 views

What calculus material can prepare me for MCMC?

I am looking to revise calculus from scratch to move on to Monte Carlo Markov Chain Methods and Quasi Monte Carlo Methods. I studied calculus properly a couple of years ago however it was back in high ...
1
vote
1answer
32 views

Shapes with several focus points

I recently understood the meaning of focus points and how to abuse them for generating some fun games like Loop. (Reading pool backwards) In Loop one uses a pool table in the shape of an ellipse and ...
2
votes
1answer
112 views

What are the (most) essential/interesting sections of The Princeton Companion to Mathematics a junior math student better have a read?

I am studying The Princeton Companion to Mathematics, but it is heavy, the sections have different difficulties, and time is limited for me. Assuming that I have only some knowledge of undergraduate ...
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0answers
20 views

Introductory books on Mathematical logic? [duplicate]

I am a graduate student.Any recommendation for an introductory book on Mathematical Logic?
3
votes
1answer
101 views

Mathematical structures textbook recommendation

I am busy doing an undergraduate course called "Fundamentals of Mathematics". It is not well-defined as there is no syllabus nor recommended textbook (there are lectures and notes), but the course ...
0
votes
1answer
21 views

Is there a text introducing “high order Fréchet derivative” well?

Let $X,Y$ be Banach spaces and $U$ be open in $X$. High-order Fréchet derivatives are defined inductively so that the n-th Fréchet-derivative of a function $F$ is $F^{(n)}:U\rightarrow ...
3
votes
1answer
56 views

High School Geometry Text?

This year I will be teaching 8 hard-working home-educated teens a Geometry course. Back in 1994-1999 I worked full time as a High School educator, taking a turn teaching everything from Pre Algebra ...
2
votes
1answer
58 views

Good book about differential forms

I'm a looking for a good book to self-study differential forms. Particularly, I'm looking for a book that is as similar as possible to Bert Mendelson's "Introduction to topology" (i.e. a book that ...
0
votes
2answers
97 views

Prerequisites for differential topology

I want to self study differential topology. I know the basics of point set topology. I need some multivariate calculus and linear algebra, what is a good and short set of books which covers what I ...
1
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0answers
26 views

Book Recommendation for Studying Stochastic Optimization Problem with Almost Sure Constraint

I was begin to study the following type of stochastic optimization problem: Let $u(k)$ and $X(k)$ are discrete random variables for all $k =1,2,...,N$ and $f$ be any concave function and $g$ be ...
1
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0answers
25 views

Pre-College Algebra Book

I am looking for a high school/ pre-college level Algebra book that is self contained for self-study. Nothing special, I don't want a book about number theory, but a book in preparation of high school ...
0
votes
0answers
35 views

Soviet Optimization books

I am aware of an answer on Soviet math books here: Soviet Russian Mathematical Books and the book by Boris Polyak on non linear optimization. I am also aware of a few books by Kantorovich which I do ...
4
votes
0answers
81 views

Puzzles and topology

I like problem solving. In fact, that is the reason I wanted to study mathematics; This is a field where I could learn the underlying logic of the results rather than just learning ideas even the ...
2
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0answers
110 views

Kock Frobenius algebras and 2D TQFTs

My mathematical career consists of selfstudy of the first 7 chapters of Lee topological manifolds. I want to read the book Kock Frobienius algebras and 2d TQFTs. Can you suggest which books and what ...
1
vote
2answers
54 views

Looking for a Great book on Proving, on Mathematical Logic in general

I'm looking for a good/great book on Mathematics. More specifically one that focuses on how I should go about to prove various things, e.g. given equations what are the methods I can use in order to ...
2
votes
1answer
20 views

Reference request on Fourier Analysis

I would like to ask for some books on Fourier analysis treating it in more abstract way (possibly more on orthogonal systems, not just focusing on the trigonometric fourier series), not the ...
1
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0answers
59 views

Please guide me books and online materials for this course

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 ...
3
votes
1answer
45 views

A measure theory book with lots of examples

I find that when learning more abstract concepts, it helps to have a 'simple' example tied to every theorem in order to fully appreciate the theorem or property. However, the course notes I am ...
2
votes
0answers
51 views

Good book for developing intuition for probability

I recently began to study "probability theory" in the sense of a rigorous mathematical treatment of probability in terms of measures,and etc. But, my background in probability is really elementary, ...
5
votes
1answer
104 views

A beautiful book on arithmetic doesn't treat you like a little baby

The state of arithmetic today is disgusting. The textbooks on it are absolutely repelling, the authors treat it like a subject that will be of concern to only babies. They don't show any love, they ...
0
votes
1answer
35 views

A suggestion for Spivak's book

I am starting to venture through the book "Calculus on Manifolds " by Michael Spivak . At the end of the first chapter , it mentions about a transformation matrix. I haven't learned Linear Algebra ...
1
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0answers
46 views

Recurrence relations book

I have never been good at solving recurrence relations. Part of the reason is that I have never found a book that is good at explaining the strategies for solving them; The books just give formulas ...
3
votes
1answer
31 views

Diameter of Schreier coset graphs.

I'm looking for a source from which to learn about Schreier coset graphs. Especially, examples in which combinatorial properties (specifically, diameter) of Schreier graphs are calculated. Also, is ...
0
votes
0answers
26 views

Recommend a Maths Textbook for Calculus [duplicate]

I am not a beginner to calculus. Till know I have learned about: 1. Functions - Domain,range,odd/even,periodic,compositemapping, etc. 2. Graphical transformations. 3. Evalution of limits, checking ...
0
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2answers
48 views

I need a good statistics book [duplicate]

I have an upcoming statistics exam and I'm studying it on my own. I was recommended Hogg's Introduction to Mathematical Statistics, but I didn't find it helpful. I just want a book which covers basic ...
1
vote
1answer
85 views

Books on complex analysis (Ahlfors, Conway and Lang)

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 ...
0
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0answers
31 views

The boundary integral equation

in which case we use the single layer potential and the double layer potential for the Laplace equation ? \begin{eqnarray}\tag{1} \Delta u = 0 \; \mathbb{R}^2\backslash\omega\\ u \to 0 \; at \; ...
1
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0answers
28 views

Calculus book for computer science students

I'm going to teach calculus I and II to undergraduate computer science students and I would like to know if someone here knows some book or site with easy calculus applications in computer science. ...
1
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1answer
52 views

A good book on basic (Euclidean) geometry.

We were studying demonstrative geometry, so I thought if I read Euclid's Elements it would give me the proper conceptual basis to understand the theorems. But then I learned that Euclid's method of ...
1
vote
1answer
49 views

Good introductory book for Probabilistic Number Theory

I have a decent high school knowledge of Elementary Number Theory and it is also a subject I love to study. I have a good background in Real Analysis (not Complex Analysis) and Abstract Algbera. I ...
1
vote
1answer
47 views

Intermediary self-learning-readable book(s) for Real Analysis (incl. Measure Theory,…)?

After studying a very readable book, Advanced Calculus by Fitzpatrick, I thought I start more advanced of real analysis by the same author so I started Real Analysis by Fitzpatrick (and Royden). Well, ...
2
votes
1answer
122 views

(Theoretical) Complex Analysis Textbooks [closed]

Most books I've seen on complex analysis do not develop it theoretically, which can be somewhat infuriating for the budding pure mathematician. What I am looking for are some comprehensive, rigorous ...
2
votes
1answer
85 views

What's a good book on geometry to read after Kiselev?

I have finished reading both books on geometry by Kiselev and now look to move on but can't find any book to let me do so. Which book would you suggest that one may read after finishing Kiselev?
6
votes
1answer
130 views

Is “Categories and Sheaves” a good followup to Aluffi's “Algebra: Chapter 0”?

I'm about to finish Aluffi's "algebra: chapter 0" and am a bit confused as to what should be my next move. I've been planning to read Tom Dieck's Algebraic Topology for some time now. I glimpsed at it ...
0
votes
0answers
25 views

Aerospace engineering Probability book (graduate)

I am a probability student interested in learning the applications of stochastic differential equations and processes for aerospace problems. I am new to engineering but I can pick up the basic ideas. ...
0
votes
0answers
29 views

resource to build very solid foundation?

I want to build very solid foundation of modern mathematics. resources and activities all I know so far are below. please advice me what to add and what to remove. 1. read Euclid's Elements (book) 2. ...
1
vote
2answers
48 views

Book to learn basics of number theory? [duplicate]

I would like to hear some easy books to learn basics of number theory from. I have almost no knowledge about topic to start with, so book should start with very basics. I'm currently on high school, ...
10
votes
2answers
282 views

Algebraically flavoured functional analysis book

I'm looking for a book on functional analysis that would suit someone who is more algebraically/geometrically oriented and seeks to learn the subject with the goal of using it later for geometric ...
1
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0answers
22 views

General Topology on Complex field?

While Real Analysis is based on spaces of real numbers so we have also Complex Analysis uses complex numbers in its spaces also. General Topology has commons with Real Analysis and whatever I see in ...