文档介绍：NONLINEARITY AND FUNCTIONAL ANALYSIS
Lectures on Nonlinear Problems
in Mathematical Analysis
This is a volume in
PURE AND APPLIED MATHEMATICS
A Series of Monographs and Textbooks
Editors: SAMUEL EILENBERCAND HYMANBASS
A list of recent titles in this series appears at the end of this volume.
N0 NLI N EARITY
AND FUNCTIONAL ANALYSIS
Lectures on Nonlinear Problems
in Mathematical Analysis
Melvin S. Berger
Belfer Graduate School
Yeshiva University
New York, New York
W
ACADEMIC PRESS New York San Francisco London 1977
A Subsidiary of Harcourt Brace Jovanovich, Publishers
COPYRIGHT0 1977, BY ACADEMICPRESS, INC.
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Library of Congress Cataloging in Publication Data
Berger, Melvyn, Date
Nonlinearity and functional analysis.
(Pure and applied mathematics)
Bibliography: p.
Includes index.
1. Mathematical analysis. 2. Nonlinear
theories. I. Title.
8 515'.7 76-26 0 39
ISBN 0-12-090350-4
PRINTED IN THE UNITED STATES OF AMERICA
Section , pp. 313-317, is reprinted with permission of
the publisher, American Mathematical Society, from the Pro-
ceedings of SYMPOSIA IN PURE MATHEMATICS, Copyright @
1970, Volume XVIII, Part I, pp. 22-24.
To the memory of my father,
Abraham Berger
How manifold are Thy works, 0 Lord! In wisdom hast Thou made them all.
PSALMS 104
The approach to a more profound knowledge of the basic principles of physics is tied up
with the most intricate mathematical methods.
A. EINSTEIN
All depends, then, on findin