Differential Equations A Primer for Scientists and Engineers
This textbook is designed with the needs of today’s student in mind. It is the ideal textbook for a first course in elementary differential equations for future engineers and scientists, including mathematicians. This book is accessible to anyone who has
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Christian Constanda
Differential Equations A Primer for Scientists and Engineers Second Edition
Springer Undergraduate Texts in Mathematics and Technology
Series Editors: J.M. Borwein, Callaghan, NSW, Australia H. Holden, Trondheim, Norway V.H. Moll, New Orleans, LA, USA Editorial Board: L. Goldberg, Berkeley, CA, USA A. Iske, Hamburg, Germany P.E.T. Jorgensen, Iowa City, IA, USA S.M. Robinson, Madison, WI, USA
More information about this series at http://www.springer.com/series/7438
Christian Constanda
Differential Equations A Primer for Scientists and Engineers Second Edition
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Christian Constanda The Charles W. Oliphant Professor of Mathematical Sciences Department of Mathematics The University of Tulsa Tulsa, OK, USA
ISSN 1867-5506 ISSN 1867-5514 (electronic) Springer Undergraduate Texts in Mathematics and Technology ISBN 978-3-319-50223-6 ISBN 978-3-319-50224-3 (eBook) DOI 10.1007/978-3-319-50224-3 Library of Congress Control Number: 2016961538 Mathematics Subject Classification (2010): 34-01 © Springer International Publishing AG 2013, 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface to the Second Edition
The second edition of this book contains a number of changes, some of substance and some merely cosmetic. These changes aim to make the book appeal to a wider audience and enhance its user-friendly features. • A new chapter (Chap. 10) has been added, which presents some basic numerical methods (Euler, Euler midpoint, improved Euler, and fourth-order Runge–Kutta) for approximating the solutions of first-order initial value problems. The exercises in Sects. 10.1–10.3 and the first ten exercises in Sect. 10.4 are based on the same problems, so that students can compare the results produced by the different methods. • The text of
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