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Differential Geometry and Tensors
K.K. Dube
出版I. K. International Pvt Ltd, 2013-12-30
主題Mathematics / Geometry / Differential
ISBN93800265879789380026589
URLhttp://books.google.com.hk/books?id=x_Lcrg9uHMAC&hl=&source=gbs_api
EBookSAMPLE
註釋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.