## Tensor CalculusThis work covers all the basic topics of tensor analysis in a lucid and clear language and is aimed at both the undergraduate and postgraduate in Civil, Mechanical and Aerospace Engineering and in Engineering Physics. |

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A very nice book of tensor calculus and tensor analysis. Every chapter of this book are lucid and clearly understandable.

### Contents

Preface vii | 1 |

Tensor Algebra | 15 |

Tensor Calculus | 64 |

Symbols of First Kind | 97 |

GeodesiesRiemannian Coordinates and Geodesic Coordi | 158 |

History of Tensor Calculus | 166 |

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### Common terms and phrases

Aijk Aijki arbitrary contravariant vector arbitrary tensor called Cartesian coordinate system Christoffel symbols vanish cofactor constant contravariant tensor coordinate system xl coordinates xl covariant derivative covariant differentiation covariant indices covariant tensor curvature tensor curve defined denoted dummy indices dx dx dx dxkdxi equation Euclidean space Example Exercise follows form the components functions geodesic coordinate given relation Hence independent components interchanging the dummy intrinsic derivative invariant Kronecker delta Let us consider line element metric tensor mixed tensor number of independent orthogonal partial derivatives prove quotient law reciprocal tensor rectangular Cartesian coordinate relative tensor replacing the dummy respect Rhijk Ricci tensor Riemannian metric Riemannian space Vn scalar curvature second order skew-symmetric tensor symbol of second symmetric tensor tensor Aij Tensor Calculus tensor of order tensor of rank tensor of second tensor of type Theorem travariant