H. E. Rose: A Course in Number Theory

Cover: 9780198523765 | A Course in Number Theory | H. E. Rose | Taschenbuch | Englisch | 1995

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Beschreibung

This textbook covers the main topics in number theory as taught in universities throughout the world. Number theory deals mainly with properties of integers and rational numbers; it is not an organized theory in the usual sense but a vast collection of individual topics and results, with some coherent sub-theories and a long list of unsolved problems. This book excludes topics relying heavily on complex analysis and advanced algebraic number theory. The increased use of computers in number theory is reflected in many sections (with much greater emphasis in this edition). Some results of a more advanced nature are also given, including the Gelfond-Schneider theorem, the prime number theorem, and the Mordell-Weil theorem. The latest work on Fermat's last theorem is also briefly discussed. Each chapter ends with a collection of problems; hints or sketch solutions are given at the end of the book, together with various useful tables.

Inhaltsverzeichnis

1.: Divisibility

2.: Multiplicative Functions

3.: Congruence Theory

4.: Quadratic Residues

5.: Algebraic Topics

6.: Sums of Squares and Gauss Sums

7.: Continued Fractions

8.: Transcendental Numbers

9.: Quadratic Forms

10.: Genera and the Class Group

11.: Partitions

12.: The Prime Numbers

13.: Two Major Theorems on the Primes

14.: Diophantine Equations

15.: Elliptic Curves: Basic Theory

16.: Elliptic Curves: Further Results and Applications

Answers and Hints to Problems

Tables

Bibliography

Index to Notation

General Index

Details

Erscheinungsjahr:	1995
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	Kartoniert / Broschiert
ISBN-13:	9780198523765
ISBN-10:	0198523769
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Rose, H. E.
Auflage:	2. Auflage
Hersteller:	OUP Oxford
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	234 x 156 x 23 mm
Von/Mit:	H. E. Rose
Erscheinungsdatum:	14.09.1995
Gewicht:	0,629 kg