Analysis

An Introduction

Richard Beals

261 pages, parution le 08/11/2004

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Résumé

This self-contained text, suitable for advanced undergraduates, provides an extensive introduction to mathematical analysis, from the fundamentals to more advanced material. It begins with the properties of the real numbers and continues with a rigorous treatment of sequences, series, metric spaces, and calculus in one variable. Further subjects include Lebesgue measure and integration on the line, Fourier analysis, and differential equations. In addition to this core material, the book includes a number of interesting applications of the subject matter to areas both within and outside the field of mathematics. The aim throughout is to strike a balance between being too austere or too sketchy, and being so detailed as to obscure the essential ideas. A large number of examples and 500 exercises allow the reader to test understanding, practise mathematical exposition and provide a window into further topics.

L'auteur - Richard Beals

Richard Beals isjames E. English ProfessorofMathematics at Yale University. He has also served as pro-fessoratthe University ofChicago and as a visiting professoratthe University of Paris, Orsay.

Sommaire

Introduction
The Real and Complex Numbers
Real and Complex Sequences
Series
Power Series
Metric Spaces
Continuous Functions
Calculus
Some Special Functions
Lebesgue Measure on the Line
Lebesgue Integration on the Line
Function Spaces
Fourier Series
Applications of Fourier Series
Ordinary Differential Equations

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Richard Beals
Parution	08/11/2004
Nb. de pages	261
Format	18 x 25
Couverture	Broché
Poids	481g
Intérieur	Noir et Blanc
EAN13	9780521600477
ISBN13	978-0-521-60047-7