An Introduction to Partial Differential Equations
Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of
- PDF / 4,465,542 Bytes
- 447 Pages / 458.258 x 668.648 pts Page_size
- 74 Downloads / 409 Views
Robert C. Rogers
An Introduction to Partial Differential Equations Second Edition
With 41 Illustrations
Michael Renardy Robert C. Rogers Department of Mathematics 460 McBryde Hall Virginia Polytechnic Institute and State University Blacksburg, VA 24061 USA [email protected] [email protected] Series Editors J.E. Marsden Control and Dynamical Systems, 107–81 California Institute of Technology Pasadena, CA 91125 USA [email protected]
L. Sirovich Division of Applied Mathematics Brown University Providence, RI 02912 USA [email protected]
S.S. Antman Department of Mathematics and Institute for Physical Science and Technology University of Maryland College Park, MD 20742-4015 USA [email protected] Mathematics Subject Classification (2000): 35-01, 46-01, 47-01, 47-05 Library of Congress Cataloging-in-Publication Data Renardy, Michael An introduction to partial differential equations / Michael Renardy, Robert C. Rogers.— 2nd ed. p. cm. — (Texts in applied mathematics ; 13) Includes bibliographical references and index. ISBN 0-387-00444-0 (alk. paper) 1. Differential equations, Partial. I. Rogers, Robert C. II. Title. III. Series. QA374.R4244 2003 515′.353—dc21 2003042471 ISBN 0-387-00444-0
Printed on acid-free paper.
© 2004, 1993 Springer-Verlag New York, Inc. All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer-Verlag New York, Inc., 175 Fifth Avenue, New York, NY 10010, 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 in the United States of America. 9 8 7 6 5 4 3 2 1
SPIN 10911655
www.springer-ny.com Springer-Verlag New York Berlin Heidelberg A member of BertelsmannSpringer Science+Business Media GmbH
Preface Partial differential equations are fundamental to the modeling of natural phenomena; they arise in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis and algebraic topology. Like algebra, topology and rational mechanics, partial differential equations are a core area of mathematics. Unfortunately, in the standard graduate curriculum, the subject is seldom taught with the same thoroughness as, say, algebra or integration theory. The present book is aimed at rectifying this situation. The goal of this course was to provide the background which is necessary to initiate work on a Ph.D. thesis in PDEs. The level of the book is aimed at beginning gradua
Data Loading...