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Differential Geometry and Tensors
Author(s): K.K. Dube
ISBN: 9789380026589
No. of Pages: 384
Publishing Year: 2009
Binding: Paperback
Dimension: 18cm x 24cm
Weight: 560
Subject: Mathematics
Price:
Rs 225.00 $ 29.00 £ 16.00
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| About the Book:
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| The purpose of this book is to give a simple, lucid, rigorous and comprehensive account of fundamental notions of Differential Geometry and Tensors. The book is self-contained and divided in two parts. Section A deals with Differential Geometry and Section B is devoted to the study of Tensors.
Section A deals with:
• Theory of curves, envelopes and developables.
• Curves on surfaces and fundamental magnitudes, curvature of surfaces and lines of curvature.
• Fundamental equations of surface theory.
• Geodesics.
Section B deals with:
• Tensor algebra.
• Tensor calculus.
• Christoffel symbols and their properties.
• Riemann symbols and Einstein space, and their properties.
• Physical components of contravariant and covariant vectors.
• Geodesics and Parallelism of vectors.
• Differentiable manifolds, charts, atlases. |
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| Contents: |
| Section A: Differential Geometry: Vector Notations / Theory of Curves in Space / Envelopes and Developables / Curves on Surfaces and Fundamental Magnitudes / Curvature of Surfaces and Lines of Curvature: Local Non-Intrinsic Properties of Surface / Fundamental Equations of Surface Theory / Geodesics / Section B: Tensor: Introduction / Tensor Algebra / Tensor Calculus / Christoffel Symbols, Covariant Differentiation, and their Properties / Riemann Symbols / Geodesics, Riemannian Coordinates, Geodesic Coordinates and Parallelism of Vectors / Differentiable Manifolds and Riemannian Manifolds / Index |
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| Audience: |
| Students of M.Sc. and B.Sc. |
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