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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4answers
85 views

Real analysis and Topology book recommendetion [on hold]

I hold a bachelor's degree in mathematics and I have taken undergraduate real analysis course. But I'm interested to know more about it, especially the stuff that will help me to understand more of ...
1
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2answers
19 views

Books on Riemann Surfaces

I am starting a scholarship on geometry and the subject of research is going to be Riemann surfaces (we will focus on compact Riemann surfaces). I am finishing my undergraduate studies so my knowledge ...
5
votes
1answer
110 views
+50

Future learning for a math graduate in applied mathematics references

As a mathematics graduate with focus on programming we did a whole lot of coding of some mathematical statements (as well as proving them), but yet rarely giving real life examples and applications ...
-4
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0answers
22 views

Reference and Textbooks for the given topics [on hold]

This is my post in Maths Stack Exchange. I am a student of BS-MS course .I want to get some recommendations in books. I will be giving different competitive exams also. I need one textbook and one ...
0
votes
0answers
19 views

Combination of certain linear-programming topics new?

I am writing a book on Linear Optimization. Its goal is to present material in a particular form which has not been encountered yet in the literature to the best of my knowledge. I am aiming at the ...
3
votes
1answer
117 views

Old books on calculus

I'd like to know if there are other old books of the same level of the classic and well-known books like Apostol, Courant, Spivak and Hardy.
2
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0answers
32 views

What's a good introduction to Second Order Logic

I'm looking for a good introduction to second order logic. Any recommendations?
2
votes
2answers
72 views

Introductory Topology Book Recommendation for Economics

Would you please share your 2 cent on book recommendation for introductory topology book to graduate student in Economics. Have exposure to the first half of the yearlong analysis course in the ...
2
votes
0answers
51 views

Problem sets on Abstract Algebra

Many times we ask about what books should we read to learn or know more about a math topic (Abstract Algebra, in this case). However, I would like to get a list of the exercises what should we solve ...
3
votes
1answer
56 views

Unsure on which sources to choose related to Calculus

I tried to get into Spivak's Calculus only to find that I've never been taught the type of Math presented there. First chapters talk about the properties of numbers, then mathematical induction, ...
1
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1answer
35 views

I've been working on Spivak and I'm on chapter 7. What are some good books to supplement Spivak for someone beginning to learn pure mathematics.

If I have too much difficulty with a concept/problem, then I'll just press on and solidify my understanding when the concept arises later by going back to it. This seems to be a lucrative method at ...
2
votes
0answers
48 views

Big Rudin directly after baby rudin?

I'm a high school student who went through Rudin's Principles of Mathematical analysis a while ago in its entirety, except for the last two chapters. I bought Real and Complex Analysis too, and ...
0
votes
2answers
41 views

Order Theory and Lattice Theory Synonymous?

Is Order Theory the same as Lattice Theory? Can anyone recommend good beginners text book on either?
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0answers
20 views

Book Recommendation for Infinite Dimensional Stochastic Optimization Problem in Discrete Time

Let $X(k)$ be i.i.d. discrete random variables and for all $k=0,1,2,...,N-1$, let $X:=(X(0),X(1)...,X(k))$ and $f := (f(0), f(1),...,f(k))$ with $f(k)$ be the decision function at time $k$, I want to ...
0
votes
0answers
54 views

Next book in in learning Analytic Number Theory

I have just finished the book "Tom M. Apostol - Introduction to Analytic Number Theory". My aim is to reach to graduate level to do research, especially on Rationality/Irrationality and Algebraic/...
1
vote
0answers
32 views

Theorems of euclidean geometry as invariable properties of geometric configurations

Is there some book, or systematic theory, that proves theorems of euclidean geometry by viewing them as invariable properties of certain geometric configurations ? So that from an easy special case, ...
0
votes
1answer
39 views

Book(s) about Affine geometry.

A quick look on Stack Exchange enabled me to discover "Geometry" from Michele Audin which is very close from what I'm expecting but there isn't the correction of the exercices. To be more specific, I'...
2
votes
1answer
38 views
+50

Good book on Spherical Trigonometry

Possible approach/content: Modern Practical (Navigation/Geodesy) unifies with Euclidean/Hyperbolic Trigonometry
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0answers
42 views

Suggestion of books on Integral Calculus of Several Variables

I'd like recommendations of books on integral calculus of several variables (double integral until Gauss's theorem) that contains challenging(hard) problems. And I'd like books in languages other than ...
0
votes
1answer
22 views

Text Suggestion for the given topics.

Can anyone suggest me a suitable text(s) for the given topics ? Sample Surveys and Design of Experiments: Sampling and non-sampling errors. Conventional sampling techniques (SRSWR/SRSWOR, ...
1
vote
1answer
22 views

concise book on MDPs with stress on solving them using DP

What is a good book for MDP with a stress on solving them using DP? However, the book should stress on the theorems and proofs and make a case for why DP is the most popular tool to solve MDPs. I am ...
2
votes
0answers
29 views

GRE Math Resources

I am planning to give the MATH GRE. I intend to go to physics graduate schools but I may have to given the MATH GRE according to my college's requirement. I very much like maths, but I'm overloaded ...
2
votes
0answers
30 views

Books about multivariate polynomials

I'm looking for a book on multivariate polynomials, preferably a monograph (could also be a chapter inside another book). I'm interested in what can be said about roots, factoring, irreducibility, ...
2
votes
0answers
31 views

Historically accurate alternatives to men of mathematics? [migrated]

I have heard that the book "Men of Mathematics" by E. Bell is a very entertaining book composed of biographies of several influential mathematicians, and is in fact one of the most popular popular ...
2
votes
2answers
102 views

Herstein or Herstein?

I read somewhere that Herstein would prepare me nicely (abstract algebra-wise) for grad studies. I don't remember where I read it and now that I was about to buy the book I found out that there two ...
1
vote
3answers
86 views

Keeping up with algebra [closed]

I just graduated from Cal with a degree in Applied Mathematics. I'm gonna be starting work in a more computer science field but I'd really like to keep up with reading about Algebra post grad so I'm ...
1
vote
1answer
102 views

Linear Algebra and Analysis books recommendation

I am looking for books on these two topics at the undergraduate level, an absolute must is that they contain problems with solutions. I hate when books give you 50 exercises after a chapter and then ...
0
votes
1answer
30 views

Recommendation in orthogonal polynomials

I am searching for a good book in orthogonal polynomials (for good I mean detailed and with all the basic results one has to know before doing some research in that branch ) for beginners ( nothing at ...
0
votes
0answers
35 views

Physical side of TQFT [migrated]

How would one go about understanding the physical side of TQFTs? What are the best introductory resources? I know Atiyah axioms but I don't know any QFT.
0
votes
3answers
129 views

$(\omega +3)\cdot\omega=\omega\cdot\omega$ [duplicate]

Show that $(\omega +3)\cdot\omega=\omega\cdot\omega$. Is this just $(\omega +3)\cdot\omega=(\omega +\omega)\cdot\omega=\omega\cdot\omega$? Also, could someone suggest a good book for set theory?
1
vote
2answers
54 views

suggestion regarding textbooks [closed]

I want to buy some text books at graduate level. I have got enough money in my contingency grant, as there is a chance, i thought i should buy some good books not thinking about the cost. The areas ...
0
votes
1answer
29 views

Books about the general equation of the quadrics

I'd like suggestions of books that address the general equation of the quadrics ($Ax^2 + By^2 + Cz^2 + Dxy + Exz + Fyz + Gx + Hy + Iz + J = 0$), that is, a book that teach to rotate a quadric and also ...
1
vote
1answer
66 views

Books about the foundations of (calculus) functions?

I'm looking for a foundational book that builds up ideas like transcendental functions. For example, how the trigonometric functions are truly defined when plotted as continuous functions. I believe ...
1
vote
1answer
43 views

self teach algorithms [closed]

What are some good resources to self teach the subject of Algorithms for someone with background in mathematics? That is, does there exists a more theoretical and abstract approach versus practical ...
1
vote
1answer
13 views

Reading recommendation for deterministic and stochastic dynamics

I'm thinking of taking an undergraduate course on deterministic and stochastic dynamics and am looking for some reading material on the subject before making up my mind. The course suggests that the ...
0
votes
2answers
40 views

Special Relativity-Book

I would a good book to study the Special Relativity. In my course the professor has treated the following topics: $(1)$ Lagrangian and hamiltonian dynamic of a charged particle; $(2)$ Relaticistic ...
1
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0answers
34 views

Books on graph/network theory with linear algebra focus

I am interested on getting feed back on books that are graph theory with focusing on linear algebra(have taken several courses on Linear Algebra) I have gone through Introductory Graph Theory by ...
0
votes
0answers
48 views

Books on inference for stochastic analysts

I realize that book recommendations to learn statistical inference is a hackneyed topic but I have something more specific in mind. I work on diffusions and would like to quickly and effectively learn ...
3
votes
2answers
87 views

Maclane/Birkhoff's “Algebra” as a first book on the subject?

Would the more knowledgeable and well-versed members of this community be so helpful as to give their opinion on using Birkhoff & MacLane's famous "Algebra" for a first course in Abstract Algebra? ...
1
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0answers
41 views

Book on differential Geometry with application to General Relativity

Does anybody know of a good book on differential geometry that has applications to general relativity and also focuses on geometrical intuition? I need a book that is not as rigorous as one that is ...
0
votes
0answers
15 views

Recommended books heat equation

I am studying mathematics methods in physics. I want some calculation problems in heat equation just like this link https://www.math.ubc.ca/~peirce/HeatProblems.pdf Can you recommend me a problem ...
2
votes
2answers
88 views

Overly formal book on mathematical logic.

In the preface to his book on logic Dirk van Dalen talks about the duality between "profane" and "sacred" logic, referring to relaxed logic and extremely formalized logic. He then explains his book ...
0
votes
0answers
24 views

Book with Chapter on Fundamental Polygons

Does anyone know of a book with a chapter explaining fundamental polygons? By Fundamental Polygon I mean for example, Fundamental polygon of Klein Bottle, as shown below. I understand it is a ...
-3
votes
3answers
89 views

What can be a complete mathematical knowledge? [closed]

I started off with abstract algebra, and found in the next 3 pages that I needed a bit more of matrices, since I had no idea how functions could also be represented by matrices, so I dipped next into ...
0
votes
0answers
14 views

Text introducing $T^{i,j}$-tensor algebra

I'm reading a lecture note here : http://www.cis.upenn.edu/~cis610/diffgeom7.pdf It introduces $T^{•,•}(M)$ the tensor algebra and says that this is a necessary tool in differential geometry. Well, ...
1
vote
3answers
90 views

Recommended books on commutative algebra stressing links with algebraic geometry

Can someone recommend some books on commutative algebra stressing links with algebraic geometry? My concern is this. It seems to me that most of commutative algebra was formulated at least initially ...
0
votes
0answers
33 views

Strauss's book - Weyl's asymptotic law for eigenvalues

Someone told me that in the book Partial Differential Equations by Strauss you can find a proof of Weyl's asymptotic law for eigenvalues (one can hear the volume and dimension of a domain). Is there ...
0
votes
0answers
29 views

Good book on non-Eucledian geometry with linear algebra approach

Does anyone know of a good textbook on non-Eucledian geometry, which approaches geometry by using mostly linear algebra (e.g., projections, dot product, cross product, etc.)? I've looked at the "...
0
votes
1answer
30 views

Recommendations for tutorials specifically devoted to real integration using contour integral techniques.

Complex analysis, and in particular contour integrals and the residue theory have proved a very powerful tool in computing a large class of real function integrals which would be quite troublesome to ...
2
votes
2answers
88 views

Best texts on supermathematics for a mathematician?

I'm an undergraduate who's doing some summer mathematics research, and it looks like I need some information on Berezenians and supermatrices as well as supermathematics in general. The only text I ...