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Giaquinta - Mathematical Analysis Foundations and Advanced Techniques for Functions of Several Variables (Birkhauser 2012).pdf

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Giaquinta - Mathematical Analysis Foundations and Advanced Techniques for Functions of Several Variables (Birkhauser 2012).pdf

文档介绍

文档介绍:Mariano Giaquinta • Giuseppe Modica
Mathematical Analysis
Foundations and Advanced Techniques
for Functions of Several Variables
Mariano Giaquinta Giuseppe Modica
Scuola Normale Superiore Dipartimento di Sistemi e Informatica
Piazza dei Cavalieri, 7 Università di Firenze
I-56100 Pisa Via S. Marta, 3
Italy I-50139 Firenze
******@ Italy
giuseppe.******@
ISBN 978-0-8176-8309-2 e-ISBN 978-0-8176-8310-8
DOI -0-8176-8310-8
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number: 2011940806
Mathematics Subject Classification: 28-01, 35-01, 49-01, 52-01, 58A10

 Springer Science+Business Media, LLC 2012
All rights reserved. This work may not be translated or copied in whole or in part without the written
permission of the publisher (Birkhäuser Boston, c/o Springer Science+Business Media, LLC, 233 Spring
Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly
analysis. Use in connection with any form of information storage and retrieval, electronic adaptation,
computer software, or by similar or dissimilar methodology now known or hereafter developed is
forbidden.
The use in this publication of trade names, trademarks, service marks, and similar terms, even if they
are not identified as such, is not to be taken as an expression of opinion as to whether or not they are
subject to proprietary rights.

Printed on acid-free paper

Birkhäuser Boston is part of Springer Science+Business Media ()
Preface
This volume1, that adds to the four volumes2 that already appeared, com-
plements the study of ideas and techniques of the differential and integral
calculus for functions of several variables with the presentation of several
specific topics of particular relevance from which the calculus of functions
of several variables has originated and in which it has its most natural
context. Some chapters have to be seen as introductory to furth