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## Details

Genre/Form: | Electronic books Textbooks |
---|---|

Additional Physical Format: | Print version: Grinfeld, Pavel. Introduction to tensor analysis and the calculus of moving surfaces (OCoLC)841495285 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Pavel Grinfeld |

ISBN: | 9781461478676 1461478677 1461478669 9781461478669 |

OCLC Number: | 860703928 |

Description: | 1 online resource |

Contents: | Why Tensor Calculus? -- Part I: Tensors in Euclidean Spaces. Rules of the Game -- Coordinate Systems and the Role of Tensor Calculus -- Change of Coordinates -- The Tensor Description of Euclidean Spaces -- The Tensor Property -- Elements of Linear Algebra in Tensor Notation -- Covariant Differentiation -- Determinants and the Levi-Civita Symbol -- Part II: Tensors on Surfaces. The Tensor Description of Embedded Surfaces -- The Covariant Surface Derivative -- Curvature -- Embedded Curves -- Integration and Gauss's Theorem -- Part III: The Calculus of Moving Surfaces. The Foundations of the Calculus of Moving Surfaces -- Extension to Arbitrary Tensors -- Applications of the Calculus of Moving Surfaces. |

Responsibility: | Pavel Grinfeld. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

From the book reviews:"The textbook is meant for advanced undergraduate and graduate audiences. It is a common language among scientists and can help students from technical fields see their respective fields in a new and exiting way." (Maido Rahula, zbMATH, Vol. 1300, 2015)"This book attempts to give careful attention to the advice of both Cartan and Weyl and to present a clear geometric picture along with an effective and elegant analytical technique ... . it should be emphasized that this book deepens its readers' understanding of vector calculus, differential geometry, and related subjects in applied mathematics. Both undergraduate and graduate students have a chance to take a fresh look at previously learned material through the prism of tensor calculus." (Andrew Bucki, Mathematical Reviews, November, 2014) Read more...

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