Engineering Differential Equations Theory and Applications
This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricul
- PDF / 8,842,640 Bytes
- 762 Pages / 439.37 x 666.142 pts Page_size
- 75 Downloads / 242 Views
Bill Goodwine
Engineering Differential Equations Theory and Applications
Bill Goodwine Department of Aerospace and Mechanical Engineering University of Notre Dame Notre Dame, Indiana 46556 USA [email protected]
MATLAB® is a registered trademark of The MathWorks, Inc. For MATLAB product information, please contact: The MathWorks Inc. 3 Apple Hill Drive Natick, MA, 01760-2098 USA Tel: 508-647-7000 Fax: 508-647-7001 E-mail: [email protected] Web: www.mathworks.com ISBN 978-1-4419-7918-6 e-ISBN 978-1-4419-7919-3 DOI 10.1007/978-1-4419-7919-3 Springer New York Dordrecht Heidelberg London Mathematics Subject Classification Codes (2010): 34-01, 34H05, 35B05, 34B24, 93-01, 65-01, 70J10, 70J25, 80-01. © Springer Science+Business Media, LLC 2011 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (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 Springer is part of Springer Science+Business Media (www.springer.com)
To Amy, Bridget, Carolyn and Katie.
Preface
This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with system modeling, analysis, and control. It is intended to be a relatively comprehensive treatment of engineering undergraduate differential equations as well as two primary applications thereof: linear vibrations and classical feedback control. This material is traditionally separated into different courses in undergraduate engineering curricula, however, consistent with the theme of this book, the current trend to optimize and streamline curricula results in many programs combining courses where there is a common underlying theoretical basis. Specifically this book was developed from the materials presented in a two-course, required, junior-level sequence of courses that I developed and have taught in the Department of Aerospace and Mechanical Engineering at the University of Notre Dame over the past several years. The rationale behind the selection, arrangement, and relationship of the content of book has four primary facets. The first facet relates to the role of mathematical analysis in modern engineering. The modern reality, especially in industry but also in academic settings, is that sophisticated software packages enabled by fast computing are starting to play a dominant role in engineering analysis. Hence, to some extent, the skill of being able to solve
Data Loading...
