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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2
votes
0answers
33 views

(Theoretical) Complex Analysis Textbooks

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
0answers
39 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
96 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 ...
-4
votes
0answers
79 views

Comments about “Topics in Algebra” by I.N. Herstein and “Abstract Algebra” by Dummit/Foote? [on hold]

Today, I got two gifts from my research mentor: "Topics in Algebra" by I.N. Herstein and "Abstract Algebra" by Dummit/Foote. I am very happy and grateful for his gifts, but I already have been ...
0
votes
0answers
17 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. ...
-4
votes
0answers
57 views

Expansive Mathematical Logic Book [on hold]

I'm going to begin studying mathematical logic and I am looking for a good book, hopefully one that covers a lot (if not the most) material. My school's library has the book by Monk, and the book by ...
0
votes
0answers
21 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. ...
0
votes
0answers
32 views

I want to ask a favor for integral transform [on hold]

I am helpless. I don't know anything about this topic. And don't have any idea of books. guys please recommend some books on integral transform which are simple, easy to start a new concept. Also ...
1
vote
2answers
42 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, ...
-1
votes
0answers
22 views

Solution manual for Modern Differential Geometry for Physicist? [closed]

Here is the book by Chris J. Isham Anyone has the solution manual of Modern Differential Geometry for Physicist?
10
votes
2answers
265 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 ...
0
votes
1answer
64 views

Math Literature [closed]

I am a high school math teacher and I am working on implementing literature in my classes. One book we read last year was Driving Mr. Albert: A Trip Across America with Einstein's Brain and they ...
-1
votes
0answers
31 views

The exterior Laplace 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
vote
0answers
19 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 ...
2
votes
0answers
11 views

What kind of subject/book(s) should I get if I'm interested in random motions hitting a barrier and being added to the barrier?

I'll explain in more detail. I'm interested in learning more about diffusion limited aggregation and the fractals that result from that process, however it'd probably be best to know more about ...
7
votes
7answers
825 views

Rudin's equivalent in Linear Algebra

I am looking for a linear algebra book which is as abstract as possible. But not an abstract algebra book. Something that is what Rudin's is for (beginning) analysis, that is, terse, rigorous and with ...
2
votes
3answers
61 views

Brief book on calculus to read before studying the analysis [on hold]

S.E advisers, I am going to start studying the analysis texts (Rudin-PMA, Apostol-MA, Pugh-RMA) on the first week of August. I have a good proof skills through working on Artin's Algebra and ...
2
votes
2answers
67 views

Any “DIY Analysis” books?

Are there any good "analysis through problems" type books? I've tried reading analysis books but I literally get bored to death, and, until I manage to concoct a way of transforming a normal textbook ...
0
votes
0answers
76 views
+50

Supportive book(s) for unproven-theorems of General Topology by R Engelking?

I am studying General Topology by R Engelking. And, it has many theorems left without proofs. Some of them are very hard and I don't think the author had intention to leave them as exercises. Would ...
1
vote
0answers
33 views

Vector calculus vs Vector analysis?

I was just wondering, is vector analysis the same as vector calculus? What about multivariable calculus? Because my multivariable calculus book (which I assume is the same as vector calculus?) covers ...
3
votes
0answers
63 views

Imagination in Mathematics

I am currently reading the book "An Essay on the Psychology of Invention in the Mathematical Field" by Jacques Hadamard, and one chapter in particular seem very interesting to me. Hadamard discusses ...
2
votes
0answers
64 views

Inquiry about My Self-Study Plan for Real Analysis (associated with my undergraduate research) [closed]

S.E advisers, I am a college sophomore in US with a major in mathematics and an aspiring mathematician in the computation theory and cryptography. I recently got an undergraduate research in the ...
3
votes
0answers
35 views

Proving those hard cyclic inequalities

From time to time some user asks for help to prove a cyclic inequality, that is, something like $$f(x,y,z)\le k$$ where $x,y,z$ are usually real positive numbers and $f$ is a 'cyclic function' (I ...
2
votes
1answer
33 views

A general method for solving systems of quadratic equations

For linear systems we have general methods (i.e. Gauss elimination). Is there a general method for solving systems of quadratic equations with many variables? I heard about Groebner bases; is there ...
0
votes
2answers
37 views

Principles of Mathematical Analysis - First Edition vs Later

I've decided to learn some analysis and so I have settled on Rudin's Principles of Mathematical Analysis, I found a 1st edition copy at my local library. I have gone through the first chapter and ...
3
votes
1answer
83 views

Looking for a good alternative to 'An introduction to manifolds' by Loring W. Tu

I'm currently studying some basic theory about manifolds from the book 'An introduction to manifolds' by Loring W. Tu. The problem I have with this book is that there are very little exercises, and ...
5
votes
3answers
287 views

What mathematical analysis book should I read (research, Putnam, personal enrichment)? [closed]

S.E advisers, I am a college sophomore in US with a major in mathematics and an aspiring mathematician in the fields of computation theory and cryptography. Recently, it became important matter that ...
3
votes
4answers
66 views

Are there any books with lots of questions of “Fill in The holes” type

Does anyone knows books which have lots of questions ,whose format are like fill in the holes type . . Same goes for theorems and exercises . I am looking on pure math especially Real analysis ...
0
votes
0answers
15 views

I'm looking for books/ebooks about convex functions inequalities

I'm looking for a book with a nice didactics and a lot of theorems, especially Giroux's one which states that the extremes of a multivariable function, convex in any variable, has extremes on the ...
1
vote
1answer
45 views

best introductory simple readable undergraduate book for algebraic geometry [duplicate]

I like to study algebraic geometry and what is the best introductory simple readable undergraduate book for it?
0
votes
2answers
41 views

Book suggestion for learning topology [duplicate]

I need a book on elementary topology which is good to read and easy to understand the concepts. Please give me a reference which book should I use..
0
votes
2answers
60 views

Books on number theory

I had a very short introduction to number theory in one of the classes I took and I learned a bit about divisibility and congruence, not much further than Fermat's little theorem, and I would like to ...
-1
votes
0answers
25 views

Prereq's for Stillwell Elements of Number Theory?

I just finished high school and am planning to introduce myself to abstract algebra using a historically motivated approach before starting it formally at university. I am particularly attracted to ...
0
votes
0answers
17 views

Prerequisites for Stillwell's Elements of Algebra

I recently posted a thread asking about Cox's Galois Theory text but apparently it is too advancd for me at the moment so I did some searching and found this book by Stillwell. It seems to take a ...
0
votes
1answer
29 views

Seeking the Recommendation on Complexity Theory books

S.E advisers, I am a rising college junior in US with a major in mathematics and an aspiring applied mathematician in the fields of theoretical computing. I just recently got a research project on ...
0
votes
1answer
36 views

Prerequisites for Cox's Galois Theory

I am planning to read Cox's book 'Galois theory' but I don't know any abstract algebra. In the preface which you can read here there is no indication of the assumed knowledge. Could someone please ...
0
votes
0answers
22 views

Looking for resources on these topics from Linear Algebra

I am looking for Characteristic roots and characteristic vectors of a linear transformation or of a matrix, Algebraic and Geometric multiplicity of a characteristic value, Cayley-Hamilton theorem, ...
0
votes
0answers
28 views

Need recommendation for following topics in combinatorics

I have to do following topics for my exam .I have 2 months time .However i have never done any combinatorics except that of high school (Permutations ,Combinations etc ) .I want a book which covers ...
1
vote
0answers
54 views

Recommendations for a thorough logic textbook

I'm looking for a (possibly introductory) textbook on logic that covers the motivation behind conventions in logic, like the definition of the implication. Prof. J. Lau has an excellent webpage, ...
1
vote
2answers
78 views

What is the best way to study Probability? [closed]

Nowadays, I am studying probability. I want to be an actuary and the first exam that I have to pass is P exam. I just want to know what is the best way and if you can recommend any books please let me ...
2
votes
1answer
67 views

Brushing up on Calc

I am an engineering major. I have taken calc 1-3 and did very well in each course. However, I feel that I did well mostly by learning the tricks and feel that I need a better intuitive understanding ...
8
votes
2answers
242 views

Recommendation for books on topology (light reads)

Are there any books on topology which can be read without having to do any exercises and look up definitions every second line? Something to read while relaxing, and not meant to replace a textbook ...
1
vote
0answers
25 views

Books that introduce many subjects?

I am looking for a rigorous math textbook that introduces many subjects in university (undergraduate) math. One book that seems to meet this criteria is Alan Beardon's Algebra and Geometry but I ...
2
votes
0answers
29 views

Sources for simple probability brain teasers

I am searching for a book that can supply me with probability brain teasers, that can be solved using little arithmetic/mental math, paired with somewhat detailed solutions. Any suggestions? ...
4
votes
1answer
59 views

Probability theory required for learning statistics rigorously

I would like to learn statistics rigorously. The only book that I can find that seems to do statistics rigorously is this book "Theory of statistics" by Schervish (which seems advanced): ...
1
vote
1answer
58 views

Book recomendations for learning number theory.

As mentioned in the title, i want to get started with number theory and I am searching for a book fitting my purposes. Ive just finished Calculus 1. I'd be glad if you could recommend a book written ...
3
votes
1answer
57 views

Literature on noncommutative rings

I am looking for books or notes about non commutative rings with with a maximum of data exposed without the help of modules (because I have many references which deal with the subject but modules are ...
0
votes
0answers
15 views

Inverse Laplace operator $\Delta^{-1}$ in $H^1_0, \ H^{−1}$.

Let open domain $\Omega \subset \mathbb R^n$, $u : \Omega \rightarrow \mathbb R$, $u \in H^1_0 (\Omega)$ and $f \in H^{−1}(\Omega)$. I'm looking for some known expressions of the inverse Laplace ...
1
vote
0answers
14 views

An example of frame operator.

A sequence of distinct vectors $\{f_1,f_2,...\}$ belonging to a separable Hilbert space $H$ is said to be a Frame if there exist positive contants $A$, $B$ such that, for $A<B$ and for all $f\in ...
0
votes
3answers
48 views

Book for Linear Algebra and Matrix

my major is Electrical Engineering and I am new in linear algebra and I need to be familiar with matrix theory deeply because of my research topic which is Image Processing. But, I do not know from ...