ISBN 9788126545162,Differential Geometry

Differential Geometry

Author:

Stoker

Publisher:

Wiley India

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Publisher

Wiley India

Publication Year 2013
ISBN-13

ISBN 9788126545162

ISBN-10 812654516X
Binding

Paperback

Number of Pages 424 Pages
Language (English)
Subject

Educational: Mathematics & numeracy

This classic work is now available in an unabridged paperback edition. Stoker makes this fertile branch of mathematics accessible to the no specialist by the use of three different notations: vector algebra and calculus, tensor calculus and the notation devised by Cartan, which employs invariant differential forms as elements in algebra due to Grass man, combined with an operation called exterior differentiation. Assumed are a passing acquaintance with linear algebra and the basic elements of analysis.
Table of contents :-
Chapter I: Operations with Vectors
Chapter II: Plane Curves
Chapter III: Space Curves
Chapter IV: The Basic Elements of Surface Theory
Chapter V: Some Special Surfaces
Chapter VI: The Partial Differential Equations of Surface Theory
Chapter VII: Inner Differential Geometry in the Small from the Extrinsic Point of View
Chapter VIII: Differential Geometry in the Large
Chapter IX: Intrinsic Differential Geometry of Manifolds Relativity
Chapter X: The Wedge Product and the Exterior Derivative of Differential Forms, with Applications to Surface Theory
Appendix A Tensor Algebra in Affine, Euclidean and Minkowski Spaces
Appendix B Differential Equations
Bibliography
Index

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