Mechanical Systems, Classical Models Volume I: Particle Mechanics
All phenomena in nature are characterized by motion; this is an essential property of matter, having infinitely many aspects. Motion can be mechanical, physical, chemical or biological, leading to various sciences of nature, mechanics being one of them. M
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P. P. Teodorescu
Mechanical Systems, Classical Models Volume 1 Particle Mechanics
Mechanical Systems, Classical Models
MATHEMATICAL AND ANALYTICAL TECHNIQUES WITH APPLICATIONS TO ENGINEERING Series Editor
Alan Jeffrey
The importance of mathematics in the study of problems arising from the real world, and the increasing success with which it has been used to model situations ranging from the purely deterministic to the stochastic, in all areas of today's Physical Sciences and Engineering, is well established. The progress in applicable mathematics has been brought about by the extension and development of many important analytical approaches and techniques, in areas both old and new, frequently aided by the use of computers without which the solution of realistic problems in modern Physical Sciences and Engineering would otherwise have been impossible. The purpose of the series is to make available authoritative, up to date, and self-contained accounts of some of the most important and useful of these analytical approaches and techniques. Each volume in the series will provide a detailed introduction to a specific subject area of current importance, and then will go beyond this by reviewing recent contributions, thereby serving as a valuable reference source.
Series Titles: MECHANICAL SYSTEMS, CLASSICAL MODELS, Volume I: Particle Mechanics P.P. Teodorescu, ISBN 978-1-4020-5441-9 INVERSE PROBLEMS IN ELECTRIC CIRCUITS AND ELECTROMAGNETICS N.V. Korovkin, ISBN 0-387-33524-7 THEORY OF STOCHASTIC DIFFERENTIAL EQUATIONS WITH JUMPS AND APPLICATIONS Rong Situ, ISBN 0-387-25083-2 METHODS FOR CONSTRUCTING EXACT SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS S.V. Meleshko, ISBN 0-387-25060-3 INVERSE PROBLEMS Alexander G. Ramm, ISBN 0-387-23195-1 SINGULAR PERTURBATION THEORY Robin S. Johnson, ISBN 0-387-23200-1
Mechanical Systems, Classical Models Volume I: Particle Mechanics
by
Petre P. Teodorescu Faculty of Mathematics, University of Bucharest, Romania
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN-10 ISBN-13 ISBN-10 ISBN-13
1-4020-5441-6 (HB) 978-1-4020-5441-9 (HB) 1-4020-5442-4 (e-book) 978-1-4020-5442-6 (e-book)
Published by Springer, P.O. Box 17, 3300 AA Dordrecht, The Netherlands. www.springer.com
Printed on acid-free paper
Translated into English, revised and extended by Petre P. Teodorescu
All Rights Reserved
© 2002 EDITURA TEHNICÃ This translation of “Mechanical Systems, Classical Models” (original title: Sisteme mecanice. Modele clasice, Published by: EDITURA TEHNICÃ, Bucuresti, Romania, 1984 -2002), First Edition, is published by arrangement with EDITURA TEHNICÃ, Bucharest, RO MANIA. © 2007 Springer No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system
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