Elementary Methods in Number Theory

Nathanson, Melvyn B.

ISBN 10: 0387989129 / ISBN 13: 9780387989129

Editore: Springer, New York, 2000

Riguardo questo articolo

24 x 16 cm. xviii 513pp. Bibliography, index. Bound into glossy yellow and white boards. Graduate Texts in Mathematics 195. Divided into three sections "A First Course in Number Theory", "Divisors and Primes and Multiplicative Number Theory", "Three Problems in Additive Number Theory".

Codice articolo 79590

Dati bibliografici

• Titolo: Elementary Methods in Number Theory
• Editore: Springer, New York
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 0387989129
• ISBN 13: 9780387989129
• Rilegatura: Hardcover
• Edizione: First edition.
• Condizione: Fine
• Cataloghi dei venditori:
  • Mathematics

Descrizione articolo

Riassunto

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.

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.