Manifolds and Mechanics
Published on 14. May 1987
Book
Hardback
176 pages
978-0-521-33375-7 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
College/higher education
Dimensions
Height: 228 mm
Width: 152 mm
Thickness: 15 mm
Weight
345 gr
ISBN-13
978-0-521-33375-7 (9780521333757)
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Schweitzer Classification
Other editions
New editions
Arthur Jones | Alistair Gray | Robert Hutton
Manifolds and Mechanics
Book
05/1987
Cambridge University Press
€54.10
Shipment within 15-20 days
Additional editions
Arthur Jones | Alistair Gray | Robert Hutton
Manifolds and Mechanics
Book
05/1987
Cambridge University Press
€54.10
Shipment within 15-20 days
Content
1. Calculus preliminaries; 2. Differential manifolds; 3. Submanifolds; 4. Differentiability; 5. Tangent spaces and maps; 6. Tangent bundles as manifolds; 7. Partial derivatives; 8. Deriving Langrange's equations; 9. Form of Langrange's equations; 10. Vectorfields; 11. Langrangian vectorfields; 12. Flows; 13. The spherical pendulum; 14. Rigid bodies.