Differential Geometry and Tensors

Released on by K.K. Dube
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  • Differential Geometry and Tensors Book Detail

  • Author : K.K. Dube
  • Release Date : 2013-12-30
  • Publisher : I. K. International Pvt Ltd
  • Genre : Mathematics
  • Pages : 377
  • ISBN 13 : 9380026587
  • File Size : 68,68 MB
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Differential Geometry and Tensors by K.K. Dube PDF Summary

Book Description: 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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Differential Geometry and Tensors

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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

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The book divided in ten chapters deals with: " Algebra of complex numbers and its various geometrical properties, properties of polar form of complex numbers an