A Second Course in Mathematical Analysis

Cambridge Mathematical Library

J.C. Burkill, H. Burkill

532 pages, parution le 07/11/2002

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Résumé

The classic analysis textbook from Burkill and Burkill, now available in the Cambridge Mathematical Library. This straightforward course, based on the idea of a limit, is intended for students of mathematics and physics who have acquired a working knowledge of the calculus and are ready for a more systematic treatment. The treatment given here also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series. Particular attention is given to clarity of exposition and the logical development of the subject matter. This, combined with the large number of examples included, ensure that this book will appeal to students of analysis.

Contents

Sets and Functions
Metric Spaces
Continuous Functions on Metric Spaces
Limits in the Spaces R¹ and Z
Uniform Convergence
Integration
Functions from R^m to R^n
Integrals in Rn
Fourier Series
Complex Function Theory
Complex Integrals. Cauchy's Theorem
Expansions, Singularities, Residues
General Theorems. Analytic Functions
Applications to Special Functions

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	J.C. Burkill, H. Burkill
Parution	07/11/2002
Nb. de pages	532
Format	15 x 23
Couverture	Broché
Poids	864g
Intérieur	Noir et Blanc
EAN13	9780521523431
ISBN13	978-0-521-52343-1