Description

Book Synopsis
This established introduction to differential geometry aims to make this branch of mathematics accessible to the non-specialist by the use of three different notations: vector algebra and calculus, tensor calculus and the notation devised by Cartan.

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 SurfaceTheory.

Chapter VII Inner Differential Geometry in the Small from theExtrinsic Point of View.

Chapter VIII Differential Geometry in the Large.

Chapter IX Intrinsic Diferential Geometry of Manifolds.Relativity.

Chapter X The Wedge Product and the Exterior Derivative ofDifferential Forms, with Applications to Surface Theory.

Appendix A Tensor Algebra in Affine, Euclidean, and MinkowskiSpaces.

Appendix B Differential Equations.

Bibliography.

Index.

Differential Geometry

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    A Paperback / softback by J. J. Stoker

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      Book details

      Publisher John Wiley & Sons Inc
      Published 19 April 1989
      ISBN-13 9780471504030
      978-0471504030
      ISBN-10 0471504033

      Description

      Book Synopsis
      This established introduction to differential geometry aims to make this branch of mathematics accessible to the non-specialist by the use of three different notations: vector algebra and calculus, tensor calculus and the notation devised by Cartan.

      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 SurfaceTheory.

      Chapter VII Inner Differential Geometry in the Small from theExtrinsic Point of View.

      Chapter VIII Differential Geometry in the Large.

      Chapter IX Intrinsic Diferential Geometry of Manifolds.Relativity.

      Chapter X The Wedge Product and the Exterior Derivative ofDifferential Forms, with Applications to Surface Theory.

      Appendix A Tensor Algebra in Affine, Euclidean, and MinkowskiSpaces.

      Appendix B Differential Equations.

      Bibliography.

      Index.

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