Mathematics Books Number Theory Books

A Modern Course on Curves and Surfaces

A Modern Course on Curves and Surfaces

A Modern Course on Curves and Surfaces

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Number Theory by Lars Ake Lindahl

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.

s95 Pages
Analytic Number Theory Lecture Notes by Andreas Strombergsson

Analytic Number Theory Lecture Notes by Andreas Strombergsson

This note covers the following topics: Primes in Arithmetic Progressions, Infinite products, Partial summation and Dirichlet series, Dirichlet characters, L(1, x) and class numbers, The distribution of the primes, The prime number theorem, The functional equation, The prime number theorem for Arithmetic Progressions, Siegel’s Theorem, The Polya-Vinogradov Inequality, Sums of three primes, The Large Sieve, Bombieri’s Theorem.

s295 Pages
Lectures on Analytic Number Theory

Lectures on Analytic Number Theory

This note covers the following topics: Formal Power Series, Theta-functions, Analytic theory of partitions, Representation by squares.

s283 Pages
Introduction to Analytic Number Theory Lecture Notes

Introduction to Analytic Number Theory Lecture Notes

Analytic number theory provides some powerful tools to study prime numbers, and most of our current knowledge of primes has been obtained using these tools. Topics covered includes: Primes and the Fundamental Theorem of Arithmetic, Arithmetic functions: Elementary theory, Dirichlet series and Euler products and Asymptotic estimates, Distribution of primes: Elementary results and Proof of the Prime Number Theorem, Primes in arithmetic progressions.

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The Theory of Numbers

The Theory of Numbers

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.

s88 Pages
Introduction to Number Theory

Introduction to Number Theory

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ALGEBRAIC NUMBER THEORY

ALGEBRAIC NUMBER THEORY

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Automorphic Forms, Representations, and L Functions

Automorphic Forms, Representations, and L Functions

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Number Theory book

Number Theory book

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A Computational Introduction to Number Theory

A Computational Introduction to Number Theory

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A Course In Algebraic Number Theory

A Course In Algebraic Number Theory

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Algorithmic Number Theory

Algorithmic Number Theory

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Number theory and elementary arithmetic

Number theory and elementary arithmetic

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Combinatorial and Analytic Number Theory

Combinatorial and Analytic Number Theory

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Elementary Number Theory Clark W.E.

Elementary Number Theory Clark W.E.

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An Introduction to the Theory of Numbers

An Introduction to the Theory of Numbers

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