Elementary Methods in Number Theory by Melvyn B Nathanson

Elementary Methods in Number Theory by Melvyn B Nathanson

Elementary Methods in Number Theory begins with a first course in number theory for students with no previous knowledge of the subject. The main topics are divisibility, prime numbers, and congruences. There is also an introduction to Fourier analysis on finite abelian groups, and a discussion on the abc conjecture and its consequences in elementary number theory. In the second and third parts of the book, deep results in number theory are proved using only elementary methods. Part I is about multiplicative number theory, and includes two of the most famous results in mathematics: the Erd s-Selberg elementary proof of the prime number theorem, and Dirichlets theorem on primes in arithmetic progressions. Part I is an introduction to three classical topics in additive number theory: Warings problems for polynomials, Liouvilles method to determine the number of representations of an integer as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classical Bases and Additive Number Theory: Inverse Problems and the Geometry of Sumsets.

BruceM. Landman, University of West Georgia, Carrollton, USA; Melvyn B. Nathanson, The City University of New York, Bronx, USA; Jaroslav Ne etril, Charles University, Prague, Czech Republic; Richard J. Nowakowski, Dalhousie University, Halifax, Canada; Carl Pomerance, Dartmouth College, Hanover; Aaron Robertson, Colgate University, Hamilton, USA.

SKU	Nicht verfügbar
ISBN 13	9781475773927
ISBN 10	1475773927
Titel	Elementary Methods in Number Theory
Autor	Melvyn B Nathanson
Serie	Graduate Texts In Mathematics
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Springer-Verlag New York Inc.
Erscheinungsjahr	2013-05-02
Seitenanzahl	514
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar