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Elementary Methods in Number Theory Melvyn B. Nathanson

Elementary Methods in Number Theory By Melvyn B. Nathanson

Elementary Methods in Number Theory by Melvyn B. Nathanson


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Summary

This basic introduction to number theory is ideal for those with no previous knowledge of the subject. With many examples and exercises, and only requiring knowledge of a little calculus and algebra, this book will suit individuals with imagination and interest in following a mathematical argument to its conclusion.

Elementary Methods in Number Theory Summary

Elementary Methods in Number Theory by Melvyn B. Nathanson

This basic introduction to number theory is ideal for those with no previous knowledge of the subject. The main topics of divisibility, congruences, and the distribution of prime numbers are covered. Of particular interest is the inclusion of a proof for one of the most famous results in mathematics, the prime number theorem. With many examples and exercises, and only requiring knowledge of a little calculus and algebra, this book will suit individuals with imagination and interest in following a mathematical argument to its conclusion.

Table of Contents

A First Course in Number Theory.- Divisibility and Primes.- Congruences.- Primitive Roots and Quadratic Reciprocity.- Fourier Analysis on Finite Abelian Groups.- The abc Conjecture.- Divisors and Primes in Multiplicative Number Theory.- Arithmetic Functions.- Divisor Functions.- Prime Numbers.- The Prime Number Theorem.- Primes in Arithmetic Progressions.- Three Problems in Additive Number Theory.- Waring's Problem.- Sums of Sequences of Polynomials.- Liouville's Identity.- Sums of an Even Number of Squares.- Partition Asymptotics.- An Inverse Theorem for Partitions.

Additional information

NLS9781475773927
9781475773927
1475773927
Elementary Methods in Number Theory by Melvyn B. Nathanson
New
Paperback
Springer-Verlag New York Inc.
2013-05-02
514
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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