**3**

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**1**answer

528 views

### Math background needed for Stakgold's Boundary Value Problems & Green's Functions Book

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**9**

votes

**2**answers

690 views

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Hi!
I fear that I am up to ask a very vague question, but more than an answer I need a suggestion of references I should look up.
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**3**

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**3**answers

582 views

### Finite, abelian, yet “fugitive” orthogonal subgroups

Update July 29, 2013.
I have still not found a good textbook for this topic, if you point one to me I will be grateful :) I have accepted BS's answer anyway, since their explanation was useful to me ...

**5**

votes

**3**answers

1k views

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**13**

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**10**answers

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**-1**

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**1**answer

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### Fuzzy topology : references [closed]

Hey. I'm looking for references in fuzzy topology. Does anyone know a good book ?

**7**

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**4**answers

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I am a teacher at 西铁一中。 I teach mathematics in English for students going abroad.
Now this is my problem, there are few mathematics books written in English that are at the level of high school, ...

**3**

votes

**1**answer

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### Algebraic approaches to modular forms

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**4**

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**2**answers

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**16**

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**12**answers

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### A book in topology

I will have to teach a topology course:
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In the past I have used two different books:
Elementary Topology. Textbook in ...

**6**

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**5**answers

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### Mathematical Physics Book Recommendation

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**14**

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**9**answers

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Hello,
I'd like to hear your opinion for ergodic theory books which would suit a beginner (with background in measure theory, real analysis and topological groups). I am looking for something well ...

**12**

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**6**answers

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### Graduate ODE textbook

Suppose that a hypothetical math grad student was pretty comfortable with first-year real variables and algebra, and had even studied some other things (algebraic geometry, Riemannian geometry, ...

**3**

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**3**answers

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### looking for a book on banach manifolds

Hi,
I am looking for a book on Banach manifolds. Can somebody recommend me something.
Thanks in advance.
leo

**22**

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**5**answers

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**1**

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**0**answers

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### Textbook suggestion for advanced algebra? [closed]

After having a solid year long undergraduate course in abstract algebra, I'm interested in learning algebra at a more advanced level, especially in the context of category theory.
I've done some ...

**3**

votes

**3**answers

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### What to teach in a second graduate course in algebra? What textbook to use?

There is a standard syllabus for a first graduate course in algebra. One teaches groups,
rings, fields, perhaps a little bit of Galois theory, perhaps a little bit of
category theory, perhaps a ...

**4**

votes

**2**answers

639 views

### Reference for general linear groups

I want to find a comprehensive reference on general linear groups, which has depth discussion about its subgroups (like solvable subgroups, Abelian subgroups, and so on). Can anyone help me with this? ...

**24**

votes

**2**answers

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### Introductory text on Galois representations

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**6**

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**6**answers

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### A book about model theory

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explain what I am looking for and why.
First I am interested about the basics and foundations of model theory. ...

**4**

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**5**answers

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What is a basic textbook?

**4**

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**3**answers

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### What is the best paper or book studying the P homomorphism, J homomorphism and Hopf invariant in Homotopy theory?

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I have some paper, but I don't know what is first and what is nice.
Please recommend to me.

**1**

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**2**answers

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### Weil bound for characters sums. (reference-request )

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I prefer reference which assume few previous knowlage.

**10**

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**4**answers

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### Introductory reading on the Scholz reflection principle?

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**5**

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**2**answers

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**4**

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**1**answer

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### Survey on Structural Complexity

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have a certain flavour involving proofs showing equivalence/relation between various complexity ...

**2**

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**2**answers

977 views

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**35**

votes

**1**answer

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### If I want to study Jacob Lurie's books “Higher Topoi Theory”, “Derived AG”, what prerequisites should I have?

I've been told that it's important to know modern physics, Differential Geometry and Algebraic Topology for understanding higher structures. Is there any other prerequisite for understanding Lurie's ...

**11**

votes

**1**answer

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### Intersection between category theory and graph theory

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**6**

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**2**answers

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### A book on Banach Manifold for a Dynamicist

Hi all,
Could you give me a suggestion of suitable book about Banach Manifolds for someone that have background in functional analysis at the level of Conway's book and Do Carmo's book on Riemannian ...

**11**

votes

**6**answers

4k views

**1**

vote

**1**answer

364 views

### References For Important Hopf Algebras

Where can I find references that discuss important classes of Infinite Hopf Algebras. By important classes, I mean heavily used in research and of relevance to Hopf Algebraist(s),Physicists, Analysts(...

**6**

votes

**2**answers

631 views

### Book on mixed Hodge structures?

Is there any English textbook about Deligne's mixed Hodge structures? Can you tell me about a reference where they are introduced at least for smooth quasi-projective varieties?

**0**

votes

**1**answer

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### Abelian Variety and Tangent Bundle ----Reference Request

I am looking for the reference where I can find the proof of the following:
If $A$ is an abelian variety then its tangent bundle is trivial.

**1**

vote

**0**answers

185 views

### What is the MP pseudoinverse's role in statistical learning and Self-Organizing Maps?

During a discussion in our lab last month, a professor mentioned to me that the behavior of Self-Organizing Maps can be described in terms of repeated applications of the Moore-Penrose psuedoinverse, ...

**7**

votes

**4**answers

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### Hopf Algebras and Quantum Groups

I have studied graduate abstract algebra and would like to learn about Hopf algebras and quantum groups. What book or books would you recommend? Are there other subjects that I should learn first ...

**15**

votes

**3**answers

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### A reference for geometric class field theory?

The classic reference of this topic is Serre's Algebraic Groups and Class Fields. However, many parts of this book use Weil's language, which I find quite hard to follow. Is there another reference ...

**2**

votes

**0**answers

594 views

### Elliptic Curves and cryptography. Recommended Reading [closed]

I have been studying RSA cryptography and want to extend this to ECC. I am interested in any books on the topic, that start off with basic principles of elliptic curves as I have almost zero knowledge ...

**25**

votes

**18**answers

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**16**

votes

**11**answers

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Walter A. Strauss's Partial Differential Equations: An Introduction is a classic PDE textbook for the undergraduate students. While Folland's Introduction to Partial Differential Equations, is a nice ...

**31**

votes

**6**answers

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### Book on mathematical “rigorous” String Theory?

I've been looking high and low for a mathematical Book on String Theory. The only Book I could find was "A Mathematical Introduction to String Theory" by Albeverio, Jost, Paycha and Scarlatti. I only ...

**7**

votes

**4**answers

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### Introduction to L-series and Dirichlet characters?

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**2**

votes

**0**answers

163 views

### Are there any recommended texts that cover Turing Tilings?

I have read the original paper by Wang, as well as a paper by Boas [1996] entitled 'the Convenience of Tilings', but wanted to know if there were any other texts that people could recommend that ...

**8**

votes

**2**answers

1k views

### good books on Dirichlet's class number formula

i refrained from asking the technical questions ,may be everyone didnt like my attitude ,atleast help me finding the good books
can anyone suggest any good book that gives a complete reference to ...

**7**

votes

**7**answers

7k views

### What is some good introduction to lambda calculus?

I have some background in set theory and automata and I am looking for a good place to start with lambda calculus.

**61**

votes

**7**answers

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### Is Mac Lane still the best place to learn category theory?

For a student embarking on a study of algebraic topology, requiring a knowledge of basic category theory, with a long-term view toward higher/stable/derived category theory, ...
Is Mac Lane still ...

**4**

votes

**2**answers

474 views

### Reading Material on Couplings

Does anybody have suggestions on what to read to learn more about couplings pertaining to statistics?
I'm working on a research project on Poisson approximations and am looking to perform a coupling ...

**5**

votes

**2**answers

857 views

### Survey of Algebraic K-Theory Since 1980?

I just came across Charles Weibel's Development of Algebraic K-Theory until 1980, and found it really helpful. Is there been anything analogous which surveys the developments in the last 30 years? I'...

**0**

votes

**1**answer

751 views

### Does it make sense that “Representations of groups over finite ring” ?

I am an undergrad student who wants to know about the representation theory over
arbitrary finite fields or finite rings of characteristic p (p a prime). (called modular
representation theory.)
In ...

**16**

votes

**14**answers

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### Teaching a pedagogy course

At my institution incoming graduate students must take a semester long course on pedagogy taught by current grad students. I may soon be in the position of having to teach this course and I'm looking ...