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Elementary Number Theory Primes, Congruences, and Secrets
This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. The second part is about elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory.
Author(s): William Stein
NA Pages 
Number Theory by Lars Ake Lindahl
This PDF covers the following topics related to Number Theory : Divisibility, Prime Numbers, The Linear Diophantine Equation , Congruences, Linear Congruences, The Chinese Remainder Theorem, Public-Key Cryptography, Pseudoprimes, Polynomial Congruences with Prime Moduli, Polynomial Congruences with Prime Power Moduli, The Congruence, General Quadratic Congruences, The Legendre Symbol and Gauss’ Lemma, Quadratic Reciprocity, Primitive Roots, Arithmetic Functions, Sums of Squares, Pythagorean Triples, Fermat’s Last Theorem, Continued Fractions, Simple Continued Fractions, Rational Approximations to Irrational Numbers, Periodic Continued Fractions, Continued Fraction Expansion, Pell’s Equation.
Author(s): Lars Ake Lindahl
95 Pages
Lectures on Analytic Number Theory
This note covers the following topics: Formal Power Series, Theta-functions, Analytic theory of partitions, Representation by squares.
Author(s): H. Rademacher
283 Pages
Theory of Numbers Lecture Notes
This lecture note is an elementary introduction to number theory with no algebraic prerequisites. Topics covered include primes, congruences, quadratic reciprocity, diophantine equations, irrational numbers, continued fractions, and partitions.
Author(s): Prof. Abhinav Kumar
NA Pages
Algebraic Number Theory by Paul Garrett
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.
Author(s): Paul Garrett
NA Pages
A Course on Number Theory (PDF 139P)
This note explains the following topics: Algebraic numbers, Finite continued fractions, Infinite continued fractions, Periodic continued fractions, Lagrange and Pell, Euler’s totient function, Quadratic residues and non-residues, Sums of squares and Quadratic forms.
Author(s): Peter J. Cameron
139 Pages
Introductory Number Theory (PDF 80P)
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Author(s): NA
NA Pages
A Modern Course on Curves and Surfaces
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Author(s): NA
NA Pages
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Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
Currently this section contains no detailed description for the page, will update this page soon.
Author(s): NA
NA Pages
A Computational Introduction to Number Theory
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Author(s): NA
NA Pages
A Course In Algebraic Number Theory
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Author(s): NA
NA Pages
Combinatorial and Analytic Number Theory
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Author(s): NA
NA Pages
Number Theory and Cryptography
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Author(s): NA
NA Pages
An Introduction to the Theory of Numbers
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Author(s): NA
NA Pages
An Introduction to p adic Numbers and p adic Analysis (PDF 64p)
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Author(s): NA
NA PagesAdvertisement
