Mechanics From Newton's Laws to Deterministic Chaos
This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was among the first textbooks to include dynamical systems an
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GRADUATE TEXTS IN PHYSICS Graduate Texts in Physics publishes core learning/teaching material for graduate- and advanced-level undergraduate courses on topics of current and emerging fields within physics, both pure and applied. These textbooks serve students at the MS- or PhD-level and their instructors as comprehensive sources of principles, definitions, derivations, experiments and applications (as relevant) for their mastery and teaching, respectively. International in scope and relevance, the textbooks correspond to course syllabi sufficiently to serve as required reading. Their didactic style, comprehensiveness and coverage of fundamental material also make them suitable as introductions or references for scientists entering, or requiring timely knowledge of, a research field.
Series Editors Professor Richard Needs Cavendish Laboratory JJ Thomson Avenue Cambridge CB3 0HE, UK E-mail: [email protected] Professor William T. Rhodes Florida Atlantic University Imaging Technology Center Department of Electrical Engineering 777 Glades Road SE, Room 456 Boca Raton, FL 33431, USA E-mail: [email protected] Professor H. Eugene Stanley Boston University Center for Polymer Studies Department of Physics 590 Commonwealth Avenue, Room 204B Boston, MA 02215, USA E-mail: [email protected]
Florian Scheck
Mechanics From Newton’s Laws to Deterministic Chaos
Fifth Edition
123
Prof. Dr. Florian Scheck Universität Mainz Institut für Physik, Theoretische Elementarteilchenphysik Staudinger Weg 7 55099 Mainz Germany [email protected]
Title of the original German edition: Mechanik, 8. Auflage (Springer-Lehrbuch) ISBN 978-3-540-71377-7 c Springer-Verlag Berlin Heidelberg 1988, 1990, 1992, 1994, 1996, 1999, 2003, 2007
ISSN 1868-4513 e-ISSN 1868-4521 ISBN 978-3-642-05369-6 e-ISBN 978-3-642-05370-2 DOI 10.1007/978-3-642-05370-2 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2010921812 c Springer-Verlag Berlin Heidelberg 1990, 1994, 1999, 2005, 2010 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: Integra Software Services Pvt. Ltd., Pondicherry Printed on acid-free paper. Springer is a part of Springer Science+Business Media (springer.com)
Preface
Purpose and Emphasis. Mechanics not only is the oldest bra
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