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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Equivalents of Morris Kline's Calculus for Algebra, Geometry, Precalc…

I started reading Morris Kline's "Calculus: An intuitive and Physical Approach" and I feel it's the book I've been waiting for since I started studying math. I love his teaching style and the ...
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0answers
10 views

Looking for modern equivalent of Whittaker and Watson.

I am looking for a modern treatment of transcendental functions with an emphasis on difficult calculations similar to the classic text by Whittaker and Watson (now over 100 years old) ...
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1answer
61 views

Is the book “Naive Set Theory” from P. R. Halmos still up-to-date?

My question is, if Halmos' book "Naive Set Theory" is still up-to-date concerning contemporary mathematics, that is, is it outdated or not? I really love the books so far, and while it's clear the ...
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0answers
16 views

Is there an introductory book on Genetic Sequencing Theory for mathematicians?

I am interested in Genetic Sequencing Theory (see the wikipedia link over here), and I was wondering whether there is some introduction to this field for someone with a mathematics background and ...
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0answers
55 views

Mathematics only with physics? What about biology and chemistry?

In The Mathematical Mechanic, the author "reveals how physics can simplify proofs and lead to quicker solutions and new theorems, and how physical solutions can illustrate why results are true in ways ...
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75 views

Big list of books that focus on intuitive explanations [on hold]

Sometimes, it happens that I come across books that at times give some intuitive explanations of ideas and concepts. But now I would like to ask if you can make a list of books that focus on giving ...
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1answer
32 views

Good short-term geometry books for a math contest

I'm writing the COMC in approx 3-3.5 weeks, it's a highschool level math contest, kind of olympiad level math, it's 12 questions and the first 9-10 are fairly easy, though there are some geometry ...
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1answer
36 views

Best Rigorous Probability Theory Textbook 'without' Measure Theory?

This question follows from my previous question. I want a book that deals probability theory rigorously (and cover as many topics as possible) yet not involving much about measure theory. There are ...
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0answers
42 views

looking for good intro to probability book

Next year I will be teaching an upper level probability course. The students will mostly be math education majors, and the course must have a statistics component. Besides the stats, I'd like to ...
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4answers
125 views

Combinatorial group theory books

I would please like some recommendations for an introductory level book on combinatorial group theory, by which I mean a group theory book which places emphasis on generators and relations and free ...
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1answer
42 views

Statistics book recommendation

this is a subject that time and again shows up, and I've read old postings. Still: I am taking an intro class in statistics from a Math department (Junior/Senior level). It is pretty intense (it's ...
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2answers
76 views

Please recommend a problem book with solutions on graduate level real analysis and measure theory

I'd like to find a problem book (with solutions) about graduate level real analysis (measure theory). That is, at the level of the books by Royden or Zygmund.
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19 views

Markov chains (which book can be recommended?)

This semester I am learning about Markov chains, mainly including basic definitions & properties Recurrence & Transience Perron-Frobenius Theory equilibrium states convergence to ...
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0answers
32 views

prerequisites for reading davis kirk

I would like to study some of the basics of algebraic topology and would like to read the book by Davis-Kirk. I realize that it assumes the reader is already familiar with homology, CW complexes and ...
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3answers
170 views

Big list of books on counterexamples and other clever observations in different topics

This question is related to Counterexample Math Books, but I'm looking for books in areas which aren't covered there (for example, number theory). In addition, books that focus on clever ...
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1answer
28 views

First book on algebraic graph theory?

I really like abstract algebra and I have come to appreciate graph theory more and more. I would like to check out algebraic graph theory to see what it's all about and get a feeling if it might be ...
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0answers
56 views

Big list of fun mathematical book to “play” with classmates

I am searching for some fun maths books "have fun" (mathematically) with my classmates. To give you a better idea of what I'm looking for, I'll mention some books that I find suitable: Roger B. ...
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0answers
28 views

Any good books on math puzzles and nim games?

Are there any good books on nim games, math puzzles, and games where players take turns, player A moves somehow, player B moves somehow, etc? I tried using Engel's book by it is a bit too advanced for ...
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1answer
127 views

Reference request: books that describe application of physical reasoning to mathematical problems

I am searching for more books like Uspenski's Some applications of mechanics to mathematics and Levi's The Mathematical Mechanic. In other words, I am looking for books that show interesting and ...
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7answers
116 views

Text books on computability

I collected the following "top eight" text books on computability (in alphabetical order): Boolos et al., Computability and Logic Cooper, Computability Theory Davis, Computability and unsolvability ...
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1answer
27 views

Linear Programming : Is there any other way to solve than graphs?

In my highschool curriculum there's a a chapter on Linear Programming Problems. In the chapter there are bunch of unproved statements and mechanical ways to solve linear problem. But my question is- ...
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2answers
41 views

I dropped mathematics and want to self-teach it to myself starting from the basics

I will make this question as objective based as possible. My curriculum teaches maths in a way that does not work well with me. Further, I also do not like the textbooks used (It was voted the worst ...
0
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0answers
23 views

What is a good optimization textbook for the theoretically inclined student looking for a rigorous and concise proof-based book?

I'm looking for an optimization book that is more like a classic pure math textbook without requiring any actual prior pure math courses. A book that puts focus on the theoretical aspects of ...
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13answers
461 views

Mathematics and literature

Are there novels (or other kinds of books) that include substantial references to topics and ideas closely related to mathematics (even if there are no explicit references to theorems, proofs, ...)?
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1answer
52 views

Electromagnetism and thermodynamics(Statistical mechanics) books for the mathematician?

I found some very good classical and quantum mechanics,special relativity,gauge theory books for the mathematicians,but I couldn't find anything on electromagnetism or thermodynamics,are they of not ...
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1answer
51 views

Original Mathematical biology book?

Are there any book that join math with biology in a way that's different from all those books you can easily find on amazon ?
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2answers
204 views

Second year mathematics textbook recommendations.

I am currently majoring in pure mathematics, and would like to purchase textbooks that would not only assist with content covered in the courses, but will serve as a great reference throughout my ...
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0answers
39 views

book for Elliptic Partial Differential Equations

I want to have a very beginning introduction to holder,morrey,campanato space, hilbrt 19th problem, Regularity in Lp spaces, Schauder theory what books or notes do you suggest me to read? I just ...
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1answer
19 views

book for study finite element method

I want to study finite element method for study partial differential equations in particular for parabolic type equation. Can you recommend a book which includes espesially mathematical background? ...
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5answers
344 views

Big list of serious but fun “unusual” books

I would like to have some suggestions about serious (that is, with good mathematical content) but fun books that cover topics (or propose problems) in "recreational mathematics"; in any other field ...
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3answers
80 views

Elementary geometry from a higher perspective

I'm searching for some references that deal with topics from "elementary geometry" analysing them from a "higher" perspective (for example, abstract algebra, linear algebra, and so on).
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5answers
167 views

Suggestion: good book on probability theory with emphasis on applications to other areas of mathematics and physics

On this website, there are many questions about books on probability theory, but I would like to ask if you can suggest a book (or more than one if necessary) that is: rigorous and accurate ...
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3answers
147 views

Books that you think you should have read during your undergraduate years

A quite popular question here is "If you could go back in time and tell yourself to read a specific book at the beginning of your career as a mathematician, which book would it be?" I would like to ...
3
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1answer
35 views

Good Book on Permutations and puzzles

I need to study about permutations to mathematically analyze scrambling of digital images. Do you know any good books on this matter ??
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0answers
8 views

delay time from mathematical perspective

I'm looking for good books or tutorials that cover the delay time (invariant and varying) problem in more details from mathematical point of view. Do you suggest any anything? Edit: For for not ...
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7answers
2k views

Very *mathematical* general physics book

I am searching for a book to study physics. So far, I've been suggested Resnick, Halliday, Krane, Physics, but it doesn't seem to be very suited for a math major. Can you suggest some more ...
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2answers
43 views

Proof of recursivity of Shannon's Entropy

Does anybody know a book where the proof of recursivity property of Shannon's Entropy can be found? I mean this: $$H(q_1,...,q_n)=H(q_1 + q_2, q_3,...,q_n) + (q_1 +q_2)H( \frac{q_1}{q_1+q_2} , ...
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3answers
180 views

Reference textbook developing NBG set theory

I'm starting Borceux "Handbook of Categorical Algebra". It starts with a brief discussion of the logical foundations of category theory. He describes two approaches: 1.defining universes and 2. With ...
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3answers
66 views

Exercise books in functional analysis

I'm studying functional analysis and I was wondering if there are some exercise books (that is, books with solved problems and exercises) The books I'm searching for should be: full of hard, ...
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0answers
60 views

Exercise books in abstract algebra and number theory

I'm studying Herstein's Topics in algebra and Hardy&Wright's An introduction to the theory of numbers, and I was wondering if there are some exercise books (that is, books with solved problems and ...
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4answers
143 views

Exercise books in linear algebra and geometry

I'm studying Brannan's Geometry and Lang's Introduction to Linear Algebra and I was wondering if there are some exercise books (that is, books with solved problems and exercises) that I can use as ...
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3answers
213 views

Exercise books in analysis

I'm studying Rudin's Principles of mathematical analysis and I was wondering if there are some exercise books (that is, books with solved problems and exercises) that I can use as a companion to ...
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4answers
210 views

Books that use probabilistic/combinatorial/graph theoretical/physical/geometrical methods to solve problems from other branches of mathematics

I am searching for some books that describe useful, interesting, not-so-common, (possibly) intuitive and non-standard methods (see note *) for approaching problems and interpreting theorems and ...
3
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1answer
71 views

Textbook for Partial Differential Equations with a viewpoint towards Geometry.

Though similar questions have been asked at Good 1st PDE book for self study and Good reference texts for introduction to partial differential equation? but none of them really answer my query, so I ...
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0answers
12 views

Book recommendation for configuration spaces

I once attended to a lecture about configuration spaces, and I loved it because it had a lot of topology. Is there any good introductory book about configuration spaces? By the way, I studied Munkres' ...
6
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2answers
299 views

Novel approaches to elementary number theory and abstract algebra

As a part of a university course, I'll have to study Herstein's Topics in algebra and Hardy&Wright's Introduction to the theory of numbers. Can you suggest some books (to be used as companions) ...
4
votes
1answer
115 views

Novel approaches to linear algebra and geometry

I'll be studying Brannan's Geometry and Lang's Introduction to Linear Algebra for one university course. I would like to know if you can you suggest some books that offer a unique perspective on the ...
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6answers
353 views

Book with novel approaches to analysis

Now I'm studying Rudin's Principles of mathematical analysis, but I'm searching for a book that offers geometric, physical or otherwise non-standard approaches to topics in analysis. Also, I'm looking ...
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0answers
15 views

Book recommendation for rigorous college geometry

I was wondering if there is a book which teaches geometry from axioms to math competition level? I have understood that modern geometry is based on Hilbert's, Tarski's or Birkhoff's axioms ...
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4answers
114 views

What is a good book, or article, that explains the history of fourier analysis?

What is a good book on the history of Fourier Analysis? I'm looking for a book which explains how it came to be and what the mathematicians (or physicists) were thinking when they came up with it. If ...