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This section contains free e-books and guides on Number Theory, some of the resources in this section can be viewed online and some of them can be downloaded.

Number Theory Books
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Algebraic Number Theory by Paul Garrett

Online | NA Pages | English
This note contains the following subtopics: Classfield theory, homological formulation, harmonic polynomial multiples of Gaussians, Fourier transform, Fourier inversion on archimedean and p-adic completions, commutative algebra: integral extensions and algebraic integers, factorization of some Dedekind zeta functions into Dirichlet L-functions, meromorphic continuation and functional equation of zeta, Poisson summation and functional equation of theta, integral representation of zeta in terms of theta.

 
The Theory of Numbers

Online | 88 Pages | English
Robert Daniel Carmichael (March 1, 1879 May 2, 1967) was a leading American mathematician.The purpose of this little book is to give the reader a convenient introduction to the theory of numbers, one of the most extensive and most elegant disciplines in the whole body of mathematics. The arrangement of the material is as follows: The five chapters are devoted to the development of those elements which are essential to any study of the subject. The sixth and last chapter is intended to give the reader some indication of the direction of further study with a brief account of the nature of the material in each of the topics suggested.

 
An Introduction to Algebraic Number Theory

Online | NA Pages | English
This note covers the following topics: Algebraic numbers and algebraic integers, Ideals, Ramification theory, Ideal class group and units, p-adic numbers, Valuations, p-adic fields.

 
Analytic Number Theory II

PDF | 58 Pages | English
This note contains the following topics: Arithmetic Functions, Dirichlet Series, Analytic Properties of the Riemann Zeta-Function, The Proof of the Prime Number Theorem, Further Properties of C(S).

 
Number TheoryFermats Last Theorem (PDF 18P)
A Course on Number Theory (PDF 139P)
Elementary Number Theory (PDF 415P)
Lectures on Topics in Algebraic Number Theory (PDF 83P)
Introductory Number Theory (PDF 80P)
Notes on Number Theory (PDF 58P)
A Modern Course on Curves and Surfaces
An Explicit Approach to Elementary Number Theory
Introduction to Algebraic Number Theory
Introduction to Number Theory
ALGEBRAIC NUMBER THEORY
Automorphic Forms, Representations, and L Functions
Arithmetic Lecture Notes
Number Theory book
Elementary Number Theory ebook
Number Theory pdf
A Computational Introduction to Number Theory
Analytic Number Theory
A Course In Algebraic Number Theory
Algorithmic Number Theory
Number theory and elementary arithmetic
Algebraic Number Theory Course Notes
Combinatorial and Analytic Number Theory
Computational Number Theory
NOTES ON NUMBER THEORY AND CRYPTOGRAPHY
Number Theory and Cryptography
Algebra and Number Theory
Algebraic Number Theory summary of notes
The ABCs of Number Theory
Elementary Number Theory
Elementary Number Theory Chen W.W.L
Elementary Number Theory Clark W.E.
An Introduction to the Theory of Numbers
Number Theory Notes
Stein W Elementary Number theory
Introduction to Number Theory (PDF 25P)
An Introduction to p adic Numbers and p adic Analysis (PDF 64p)
Algebra and Number Theory (PDF 64p)
Modular forms
Introduction to Algebraic Number Theory (PDF 48p)
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