Problem-Solving and Selected Topics in Num...

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

56,60 €

inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 4-7 Werktage

Kategorien:

Beschreibung

The book provides a self-contained introduction to classical Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historical remarks are also presented. The book will be directed to advanced undergraduate, beginning graduate students as well as to students who prepare for mathematical competitions (ex. Mathematical Olympiads and Putnam Mathematical competition).

Über den Autor

Michael Th. Rassias has received several awards in mathematical problem solving competitions including two gold medals at the Pan-Hellenic Mathematical Competitions of 2002 and 2003 held in Athens, a silver medal at the Balkan Mathematical Olympiad of 2002 held in Targu Mures, Romania and a silver medal at the 44th International Mathematical Olympiad of 2003 held in Tokyo, Japan.

Zusammenfassung

Presents the historical background of various topics in number theory;

Provides a self-contained introduction to classical number theory;

Includes step-by-step proofs of theorems and solutions to exercises;

Designed for undergraduate students, particularly those who would like to prepare for mathematical competitions.

Includes supplementary material: [...]

Inhaltsverzeichnis

- Introduction.- The Fundamental Theorem of Arithmetic.- Arithmetic functions.- Perfect numbers, Fermat numbers.- Basic theory of congruences.- Quadratic residues and the Law of Quadratic Reciprocity.- The functions p(x) and li(x).- The Riemann zeta function.- Dirichlet series.- Partitions of integers.- Generating functions.- Solved exercises and problems.- The harmonic series of prime numbers.- Lagrange four-square theorem.- Bertrand postulate.- An inequality for the function p(n).- An elementary proof of the Prime Number Theorem.- Historical remarks on Fermat's Last Theorem.- Author index.- Subject index.- Bibliography and Cited References.

Details

Erscheinungsjahr:	2014
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xiv 324 S.
ISBN-13:	9781489981943
ISBN-10:	1489981942
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Rassias, Michael Th.
Hersteller:	Springer Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 19 mm
Von/Mit:	Michael Th. Rassias
Erscheinungsdatum:	02.09.2014
Gewicht:	0,517 kg