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Manifolds and Mechanics : Australian Mathematical Society Lecture Series - Arthur Jones

Manifolds and Mechanics

Australian Mathematical Society Lecture Series

Paperback

Published: 13th July 1987
RRP $43.95
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This book provides an easy introduction to the theory of differentiable manifolds. The authors then show how the theory can be used to develop, simply but rigorously, the theory of Lanrangian mechanics directly from Newton"s laws. Unnecessary abstraction has been avoided to produce an account suitable for students in mathematics or physics who have taken courses in advanced calculus.

Calculus preliminaries
Differential manifolds
Submanifolds
Differentiability
Tangent spaces and maps
Tangent bundles as manifolds
Partial derivatives
Deriving Langrange's equations
Form of Langrange's equations
Vectorfields
Langrangian vectorfields
Flows
The spherical pendulum
Rigid bodies
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521336505
ISBN-10: 0521336503
Series: Australian Mathematical Society Lecture Series
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 176
Published: 13th July 1987
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.0
Weight (kg): 0.27