Elementary Methods in Number Theory (Graduate Texts in Mathematics)

Nathanson, Melvyn B. B.

ISBN 10: 1475773927 / ISBN 13: 9781475773927

Editore: Springer, 2013

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Codice articolo ABLIING23Mar2716030093996

Dati bibliografici

• Titolo: Elementary Methods in Number Theory (Graduate Texts in Mathematics)
• Editore: Springer
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 1475773927
• ISBN 13: 9781475773927
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

Preliminary Text. Do not use. "Elementary Methods in Number Theory" is divided into two parts. The first part is a basic introduction to elementary number theory for students with no previous knowledge of the subject. The main topics are divisibility, congruences, and the distribution of prime numbers. The second part of the book is an introduction to three classical problems in additive number theory. The book contains many examples and exercises. The only prerequisites for this book are a little calculus and algebra, and the imagination and perseverance to follow a mathematical argument.

Contenuti

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.