文档介绍：Mariano Giaquinta
Giuseppe Modica
Mathematical Analysis
Linear and Metric Structures
and Continuity
Birkhauser
Boston • Basel • Berlin
Mariano Giaquinta Giuseppe Modica
Scuola Noimale Superiore Universita degl. Studi di Firenze
Dipartimento di Matematica PS.^'T"''' **' Matematica Apphcata
1-56100 Pisa 1-50139 Firenze
Italy Italy
Cover design by Alex Gerasev.
Mathematics Subject Classification (2000): 00A35, 15-01, 32K99,46L99, 32C18, 46E15, 46E20
Library of Congress Control Number: 2006927565
ISBN-10: 0-8176-4374-5 e-ISBN-10: 0-8176-4514-4
ISBN-13: 978-0-8176-4374-4 e-ISBN-13: 978-0-8176-4514-4
Printed on acid-free paper.
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987654321
(MP)
Preface
One of the fundamental ideas of mathematical analysis is the notion of
a function', we use it to describe and study relationships among variable
quantities in a system and transformations of a system. We have already
discussed real functions of one real variable and a few examples of functions
of several variables^, but there are many more examples of functions that
the real world, physics, natural and social sciences, and mathematics have
to offer:
(a) not