Description
Wiley India Differential Geometry And Tensors by K K Dubey
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.
About the Author
K.K. Dube is Professor, Department of Mathematics, Statistics and Computer Science at G.B. Pant University of Agriculture and Technology, Pantnagar (Uttarakhand). was also a recipient of Post-Doctoral Fellow (CSIR). He has 30 years of teaching experience of UG/PG classes. He has to his credit more than 71 research papers published both in national and international journals of repute.
TABLE OF CONTENTS
BOOK REVIEW
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