Number Theory, Part B

An Introduction to Mathematics

William A. Coppel

376 pages, parution le 28/02/2006

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Résumé

Undergraduate courses in mathematics are commonly of two types. On the one hand are courses in subjects - such as linear algebra or real analysis - with which it is considered that every student of mathematics should be acquainted. On the other hand are courses given by lecturers in their own areas of specialization, which are intended to serve as a preparation for research. But after taking courses of only these two types, students might not perceive the sometimes surprising interrelationships and analogies between different branches of mathematics, and students who do not go on to become professional mathematicians might never gain a clear understanding of the nature and extent of mathematics.

The two-volume Number Theory: An Introduction to Mathematics attempts to provide such an understanding of the nature and extent of mathematics. It is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A, which should be accessible to a first-year undergraduate, deals with elementary number theory. Part B is more advanced than the first and should give the reader some idea of the scope of mathematics today. The connecting theme is the theory of numbers, at first sight one of the most abstruse and irrelevant branches of mathematics. Yet by exploring its many connections with other branches, we may obtain a broad picture.

Written for: Undergraduate students in mathematics and engineering

Sommaire

The Arithmetic of Quadratic Forms
The Geometry of Numbers
The Number of Prime Numbers
A Character Study
Uniform Distribution and Ergodic Theory
Elliptic Functions
Connections with Number Theory
Notations
Axioms

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	William A. Coppel
Parution	28/02/2006
Nb. de pages	376
Format	18 x 26
Couverture	Relié
Poids	925g
Intérieur	Noir et Blanc
EAN13	9780387298535
ISBN13	978-0-387-29853-5