文档介绍：Cornerstones
Series Editors
Charles L. Epstein, University of Pennsylvania, Philadelphia
Steven G. Krantz, Washington University, St. Louis
Advisory Board
Anthony W. Knapp, State University of New York at Stony Brook, Emeritus
Emmanuele DiBenedetto
Classical Mechanics
Theory and Mathematical Modeling
Emmanuele DiBenedetto
Department of Mathematics
Vanderbilt University
Nashville, TN 37240
USA
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ISBN 978-0-8176-4526-7 e-ISBN 978-0-8176-4648-6
DOI -0-8176-4648-6
Springer New York Dordrecht Heidelberg London
Library of Congress Control Number: 2010936443
Mathematics Subject Classification (2010): 34B25, 34C75, 37J05, 37J10, 37K05, 37K10, 37N05, 37N10,
70A05, 70B05, 70B10, 70E05, 70E15, 70E17, 70E18, 70H03, 70H05, 70H14, 70H15, 70H25, 70J10,
70J25, 70J30, 70J35, 76A02, 36D05, 70G75
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Contents
Preface ........................................................xvii
1GEOMETRYOFMOTION............................... 1
1 Trajectories in R3 and Intrinsic Triads ..................... 1
2 Areolar Velocity and Central Motions ...................... 3
3 Geometry of Rigid Motions ............................... 5
4 The Eule