Tensor Calculus

Synge, John Lighton; Schild, Alfred

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Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, and more.

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Contenuti:

1. Spaces and Tensors 1.1 The generalized idea of a space 1.2 Transformation of coordinates. Summation convention 1.3 Contravariant vectors and tensors. Invariants 1.4 Covariant vectors and tensors. Mixed tensors 1.5 Addition, multiplication, and contraction of tensors 1.6 Tests for tensor character 1.7 Compressed notation Summary I, Exercises I II. Basic Operations in Riemannian Space 2.1 The metric tensor and the line element 2.2 The conjugate tensor. Lowering and raising suffixes 2.3 Magnitude of a vector. Angle between vectors 2.4 Geodesics and geodesic null lines. Christoffel symbols 2.5 Derivatives of tensors 2.6 Special coordinate systems 2.7 Frenet formulae Summary II, Exercises II III. Curvature of Space 3.1 The curvature tensor 3.2 The Ricci tensor, the curvature invariant, and the Einstein tensor 3.3 Geodesic deviation 3.4 Riemannian curvature 3.5 Parallel propagation Summary III, Exercises III IV. Special Types of Space 4.1 Space of constant curvature 4.2 Flat space 4.3 Cartesian tensors 4.4 A space of constant curvature regarded as a sphere in a flat space Summary IV, Exercises IV V. Applications to Classical Dynamics 5.1 Physical components of tensors 5.2 Dynamics of a particle 5.3 Dynamics of a rigid body 5.4 Moving frames of reference 5.5 General dynamical systems Summary V, Exercises V VI. Applications to hydrodynamics, elasticity, and electromagnetic radiation 6.1 Hydrodynamics 6.2 Elasticity 6.3 Electromagnetic radiation Summary VI, Exercises VI VII. Relative Tensors, Ideas of Volume, Green-Stokes Theorems 7.1 Relative tensors, generalized Kronecker delta, permutation symbol 7.2 Change of weight. Differentiation 7.3 Extension 7.4 Volume 7.5 Stokes' theorem 7.6 Green's theorem Summary VII, Exercises VII VIII. Non-Riemannian spaces 8.1 Absolute derivative. Spaces with a linear connection. Paths 8.2 Spaces with symmetric connection. Curvature 8.3 Weyl spaces. Riemannian spaces. Projective spaces Summary VIII, Exercises VIII Appendix A. Reduction of a Quadratic Form Appendix B. Multiple integration Bibliography, Index

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1.Tensor Calculus

Editore: Dover Pubns (1978)
ISBN 10: 0486636127 ISBN 13: 9780486636122
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Descrizione libro Dover Pubns, 1978. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486636122

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Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486636127

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3.Tensor Calculus (Paperback)

Editore: Dover Publications Inc., United States (1978)
ISBN 10: 0486636127 ISBN 13: 9780486636122
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Descrizione libro Dover Publications Inc., United States, 1978. Paperback. Condizione libro: New. New edition. 206 x 142 mm. Language: English . Brand New Book. This book is an excellent classroom text, since it is clearly written, contains numerous problems and exercises, and at the end of each chapter has a summary of the significant results of the chapter. Quarterly of Applied Mathematics. Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, and more. Codice libro della libreria AAC9780486636122

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4.Tensor Calculus (Paperback)

Editore: Dover Publications Inc., United States (1978)
ISBN 10: 0486636127 ISBN 13: 9780486636122
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Descrizione libro Dover Publications Inc., United States, 1978. Paperback. Condizione libro: New. New edition. 206 x 142 mm. Language: English . Brand New Book. This book is an excellent classroom text, since it is clearly written, contains numerous problems and exercises, and at the end of each chapter has a summary of the significant results of the chapter. Quarterly of Applied Mathematics. Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, and more. Codice libro della libreria AAC9780486636122

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5.Tensor Calculus

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Descrizione libro Dover Publications Inc., 1978. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486636122

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Descrizione libro Dover Publications, 1978. Paperback. Condizione libro: New. Codice libro della libreria 0486636127

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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486636127 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Codice libro della libreria 6444801

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Descrizione libro Dover Publications. Paperback. Condizione libro: New. Paperback. 324 pages. Dimensions: 8.1in. x 5.6in. x 0.7in.This book is an excellent classroom text, since it is clearly written, contains numerous problems and exercises, and at the end of each chapter has a summary of the significant results of the chapter. Quarterly of Applied Mathematics. Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, and more. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Paperback. Codice libro della libreria 9780486636122

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Descrizione libro Paperback. Condizione libro: New. 142mm x 16mm x 210mm. Paperback. Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 336 pages. 0.345. Codice libro della libreria 9780486636122

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Descrizione libro Dover Publications Inc. Paperback. Condizione libro: new. BRAND NEW, Tensor Calculus (New edition), John L. Synge, A. Schild. Codice libro della libreria B9780486636122

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