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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42 views

A book like Michael Spivaks Calculus, for multivariate Calculus.

Is there a book like Michael Spivaks Calculus, that is for Multivariate Calculus? That is a "real analysis" multivariate calculus book?
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2answers
34 views

Can you recommend a book with techniques for solving hard algebra/arithmetic problems?

I'm a university student who never really studied maths in high school (I did the basic courses, but because I'm dyslexic I was to embarrassed to try the harder courses) now I'm getting back into it, ...
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1answer
59 views

Books for basic level college student [on hold]

I have just finished a college class on multivariable calculus and I am currently taking linear algebra. I want to delve more into the topics of math, but the books that I have been looking over seem ...
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2answers
25 views

Need a Probability Theory book that also focusses on Analysis

I am in search for a Probability Theory book which also contains elements and proofs from Analysis. A non-Measure Theoretic approach is most desirable. I have gone through great books like Ross but I ...
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2answers
36 views

Book recommendation for a new student on complex analysis

Please consider the following topics 1.Analytic functions 2.Cauchy's theorem and Cauchy Integral formula 3.Maximum Modulus Principle 4.Laurent Series 5.Singularities 6.Theory of residues and ...
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1answer
9 views

online notes on symmetric spaces

Can anyone suggest some good online lecture notes on symmetric spaces? I am interested in reading from Helgason, which is a very tough book to read. So I am searching for some places where the ...
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2answers
43 views

Suggestion to a book with lots of number theory problems

What I am looking for is a book that contains "infinitely many problems", starts from the easiest to high level(that can be found in national and even international olympiads). Are there such books, ...
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1answer
22 views

References for mean curvature flow in Riemannian manifolds

I am interested in mean curvature flows (MCFs) in Riemannian manifolds. But most textbooks about MCF seem to treat mainly MCFs of hypersurfaces in $\mathbb{R}^{n+1}$. Should I study them before ...
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0answers
24 views

Differentiation through the integral sign, more general case

I wondered in which cases, given a measurable space $(A,\mu)$, Banach spaces $E,F$, an open $U\subseteq E$ and $f:A\times U\rightarrow F$, we can conclude that the function $s\mapsto\int_A f(x,y)dx$ ...
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0answers
82 views

Algebra textbook recommandation for person already familiar with algebra

Can you guys please recommend me a good textbook on algebra, given that I am already familiar with lots of algebra stuff and I want to revisit, and deepen my knowledge? (Little backstory: I started ...
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3answers
101 views

book recommendation on functional analysis

I recently started studying functional analysis. I have many ebooks loaded on my laptop, but can't figure out which one to start with. I've asked my instructor, and he says there aren't any specific ...
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2answers
26 views

Books on Lebesgue Integration

I am having Measure Theory as a subject in my course.It is having these as topics: 1.Lebesgue measure on the line 2.Measurable functions 3.Lebesgue integral 4.Convergence almost everywhere ...
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1answer
42 views

Books or texts on singularity theory

So a friend is doing his PhD in maths (algebraic topology) and his advisor wants him to publish something on singularities (of which, as fas as I understand, he knows next to nothing). I want to give ...
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0answers
50 views

Taking Putnam as a freshman.

Currently, in 11th grade, I've always thong about participating exams like the Putnam. I have however, sent the problems, and they seem, to be grueling hard!! I have access to problem solving ...
1
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1answer
61 views

suggesting books on Field/galois theory

I have finished courses on group theory and ring theory and linear algebra and abstract algebra(inrroducton with fraleigh's book) im about to take field/galois theory this semester any good book not ...
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2answers
62 views

Measure Theory Book for My Background / Need

My current Math background is as follows: 1) Read first 7 chapters of Rudin "Principles of Mathematical Analysis" and solved a lot of the given problems. 2) Completed Munkres "Analysis on Manifolds" ...
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0answers
24 views

Definition of a vector field

Reading Wikipedia, I see that a vector field is defined as a mapping $X: S \rightarrow \mathbb R^n$ where $S \subseteq R^n$. However, I sometimes see mappings $X: S \subseteq R^m \rightarrow R^n$ ...
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0answers
36 views

Is Problem Solving Strategies by Engel sufficient?

Is a book like, Problem Solving Strategies by Arthur Engel sufficient for the Putnam Exam or should I consult something else? I asked a similar question asking for recommendation, no one discussed ...
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1answer
68 views

Book recommendation for Putnam/Olympiads

I have been concentrating on olympiad questions, and PUTNAM exams, Putnam is my main focus. Can you suggest a book from one of these: Problem Solving Strategies By Arthur Engel Putnam and Beyond by ...
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0answers
22 views

What are some good books on convex sets (analysis)? [closed]

I'm looking for both introductory and advanced books.
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4answers
146 views

Preparing for pure math degree [closed]

I wasn't the best student in high school but I always saw the mathematics as an interesting subject, now I have to choose a degree and I'm really considering pure mathematics. I have something like 6 ...
3
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2answers
40 views
+50

Recommend good books for a beginner to learn about Support Vector Machines (SVM)

I am doing a semester project on Support Vector Machines, where I am supposed to read up on the mathematics behind it, as well as give some proofs of the mathematics. I am an undergraduate, with a ...
1
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1answer
38 views

A theory of radicals of integers?

It seems to me that radicals, natural numbers without power factors, generalize the concept of primes. You could ask after the nth radical and the number of radicals less than a specified number. But ...
2
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0answers
64 views

Multivariable Calculus or Differential Geometry (Analysis on Manifolds) after single variable calculus

Background: Applied Mathematics program, finished with single variable calculus, and in parallel with basic analysis. (Not knowledge of multivariable calculus yet) Please feel free to recommend ...
1
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1answer
48 views

Most general setting for the fundamental theorem of curves

I want to learn more about the fundamental theorem of curves. Wikipedia states the theorem for ${\bf R}^3$ only but I found another source (Theorem 5.5.18, in German only) where it is proved for ...
0
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1answer
20 views

Basic properties of uniform limits in Banach spaces

Where can I find infos (books, keywords, online materials, etc.) about when the uniform limit of a sequence of continuously differentiable functions $f_n:U\subseteq E\rightarrow F$ between arbitrary ...
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1answer
45 views

Basic elementary number theory [duplicate]

I just enrolled in a class called "Elementary Number Theory" and I am left confused in every class due to the different notations and proofs shown. Is there a really basic book on Number Theory out ...
2
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0answers
39 views

Book or paper recommendation about “Rube Goldberg Mathematics” // e.g. Longest path problems

First: My question is not be very specific, since I lack a concrete overview, but my idea/thoughts in a nutshell: I would like to have a recommendation of a good book, paper or article about processes ...
6
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3answers
86 views

Book for field and galois theory.

I studied basic field theory from J.A. Gallian in U.G. and Fraleigh. and a year ago I self studied it from Galois Theory by David A. Cox, and I got pretty good at it. But in last year I was mainly ...
2
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2answers
70 views

British “S-Level” Mathematics Books

The British S-level exams (not to be confused with A-levels or O-levels) were said to be challenging exams that were used to select who got a place at the University of Oxford or Cambridge. Is anyone ...
2
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4answers
87 views

Book recommendation for Measure Theory

What book would you recommend me to read about measure theory and especially the following: Measure and outer meansure, Borel sets, the outer Lebesgue measure. The Cantor set. Properties of ...
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0answers
48 views

Revisiting maths through self study

I am a practicing commercial engineer having studied 3 Maths courses during undergraduate college (2004-2008). Now I want to return to my real passion i.e. astrophysics/ quantum mechanics on my own. ...
8
votes
4answers
282 views

An Illustrated Classification of Knots.

Let me be honest here: I know very little about Knot Theory. I'm sorry. I've a friend though, someone with no training in Mathematics at all but who is a huge fan of knots (for whatever reason), who ...
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2answers
50 views

What is the most appropriate book for teaching, not the content but skills of mathematics

Hello Everyone I am a high school student currently doing Extension 1 Mathematics at my school. I am currently looking for a high quality mathematics book. Although I am not looking for a book, like ...
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0answers
49 views

What are the sequels to Rudin's Functional Analysis?

Briefly speaking my purpose, I'm looking for the sequels to Rudin's Functional Analysis. How about the following books by Stein? Are there any other nice ones? Harmonic Analysis: Real-Variable ...
0
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2answers
60 views

Teaching myself multivariable calculus

I want to learn multivariable calculus and I need a book suitable for self-study. I looked around on Amazon and found two books that seem to contain the right material: Clark Bray: Multivariable ...
3
votes
2answers
143 views

Extremely hard and stimulating (undergraduate) real analysis $problems$

To put it simply: I have heard of many problem books in real analysis (also on this website), but the exercises they propose seem quite standardized. What are problem books that propose really ...
1
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0answers
41 views

Geometrically flavored PDE book

As I am interested in Riemannian Geometry, I need to know a good amount of Partial Differential Equation. But just picking up a book on PDE (for example Trudinger) and read it is quite boring for me. ...
0
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1answer
35 views

Relation between Genetic Algorithm and Information theory

Can anyone suggest me some references (papers, books, lecture notes) on the relation between GA and Information theory?
2
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1answer
50 views

Group theory book: presentations and group actions

I have some basic abstract algebra knowledge (the usual groups/rings/fields). Now I would like to study, in depth, presentations of groups and group actions. (either of which I have no knowledge) ...
0
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1answer
39 views

Book Recommendation: Multiple variables calculus [duplicate]

What would be a good book learning Multiple variables calculus? Basically, I'm only interested with the theorems of continuity and differentiation
6
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7answers
636 views

A book for abstract algebra with high school level

Any book that I find on abstract algebra is somehow advanced and not OK for self-learning. I am high-school student with high-school math knowledge. Please someone tell me a book can be fine on ...
3
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0answers
60 views

Any good supplementary text on Algebraic Number Theory?

I'm going to study algebraic number theory by myself with the following texts: Algebraic Number Theory by Cassels, Frolich Number Fields by Daniel Marcus But I'm not sure whether or not I should ...
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3answers
97 views

Good book for an introduction to differential equations for engineers

I will be leading a discussion class on differential equations for engineers this coming semester and I am wondering if anyone has a book that they could recommend. The book that will be used in the ...
2
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0answers
83 views

What would be the most rigorous book to stydy algebraic geometry and arithmetic curves on my own?

I would like to study algebraic geometry and arithmetic curves on my own but are there suggestions where to start? Namely, I like very rigorous way to do mathematics and I was suggested Liu's book ...
24
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5answers
2k views

Can mathematics get from other sciences what it got from physics?

Throughout history, physics has been an unparalleled source of '' inspiration'' for discovering/inventing mathematical ideas, which is due to its ability to describe the physical world. But can this ...
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0answers
35 views

Textbook suggestion-Vector Analysis

I took a course in vector analysis this year. It was a two fold course. The first part covered linear algebra and basic euclidean geometry. The second took to more advanced areas such as differential ...
0
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1answer
48 views

(Near) complete euclidean geometry theorems and postulates list

I‘ve been looking for a euclidean geometry book filled with as many theorems and axioms as possible, even better if it‘s as condensed as possible (say, proofs given separately in another book, or not ...
2
votes
1answer
112 views

Real analysis “theory book” similar to Andreescu's Problems in Real Analysis: Advanced Calculus on the Real Axis

I am going through Andreescu et al.,Problems in Real Analysis: Advanced Calculus on the Real Axis and I am very impressed: the style of the book seems really modern and the material covered includes ...