# Introduction to Vector and Tensor Analysis (Dover Books on Mathematics)

## Robert C. Wrede

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This broad introduction to vector and tensor analysis is designed for the advanced undergraduate or graduate student in mathematics, physics, and engineering as well as for the practicing engineer or physicist who needs a theoretical understanding of these essential mathematical tools. In recent years, the vector approach has found its way even into writings on aspects of biology, economics, and other sciences.
The many and various topics covered include: the algebra of vectors — linear dependence and independence, transformation equations, the inner product, the cross product, and the algebra of matrixes; the differentiation of vectors — geometry of space curves, kinematics, moving frames of reference, Newtonian orbits and special relativity theory; partial differentiation of vectors — geometry of space curves, kinematics, moving frames of reference, Newtonian orbits and special relativity theory; partial differentiation and associated concepts — surface representations, bases in general coordinate systems, and maxima and minima of functions of two variables; the integration of vectors — line integrals, surface integrals, surface tensors and volume integrals; tensor algebra and analysis — fundamental notions of  n-space, transformations and tensors, Riemannian geometry, tensor processes of differentiation, geodesics, the curvature tensor and its algebraic properties, and general relativity theory.
Throughout, Professor Wrede stresses the interrelationships between algebra and geometry, and moves frequently from one to the other. As he points out, vector and tensor analysis provides a kind of bridge between elementary aspects of linear algebra, geometry and analysis. He uses the classical notation for vector analysis, but introduces a more appropriate new notation for tensors, which he correlates with the common vector notation. He stresses proofs and concludes each section with a set of problems designed to help the student get a solid grasp of the ideas, and explore them more thoroughly on his own. His approach features a combination of important historical material with up-to-date developments in both fields. The knowledge of vector and tensor analysis gained in this way is excellent preparation for further studies in differential geometry, applied mathematics, and theoretical physics.

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## 1.Introduction to Vector and Tensor Analysis

ISBN 10: 048661879X ISBN 13: 9780486618791
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Descrizione libro 1972. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486618791

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## 2.Introduction to Vector and Tensor Analysis Format: Trade Paper

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Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 048661879X

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## 3.Introduction to Vector and Tensor Analysis (Paperback)

Editore: Dover Publications Inc., United States (1972)
ISBN 10: 048661879X ISBN 13: 9780486618791
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Descrizione libro Dover Publications Inc., United States, 1972. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. A broad introductory treatment, this volume examines general Cartesian coordinates, the cross product, Einstein s special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, fundamental notions in n-space, Riemannian geometry, algebraic properties of the curvature tensor, and more. 1963 edition. Codice libro della libreria AAC9780486618791

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## 4.Introduction to Vector and Tensor Analysis

ISBN 10: 048661879X ISBN 13: 9780486618791
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Descrizione libro 1972. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486618791

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## 5.Introduction to Vector and Tensor Analysis (Paperback)

Editore: Dover Publications Inc., United States (1972)
ISBN 10: 048661879X ISBN 13: 9780486618791
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Descrizione libro Dover Publications Inc., United States, 1972. Paperback. Condizione libro: New. New edition. Language: English . Brand New Book. A broad introductory treatment, this volume examines general Cartesian coordinates, the cross product, Einstein s special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, fundamental notions in n-space, Riemannian geometry, algebraic properties of the curvature tensor, and more. 1963 edition. Codice libro della libreria AAC9780486618791

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## 6.Introduction to Vector and Tensor Analysis (Paperback)

Editore: Dover Publications Inc., United States (1972)
ISBN 10: 048661879X ISBN 13: 9780486618791
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Descrizione libro Dover Publications Inc., United States, 1972. Paperback. Condizione libro: New. New edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. A broad introductory treatment, this volume examines general Cartesian coordinates, the cross product, Einstein s special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, fundamental notions in n-space, Riemannian geometry, algebraic properties of the curvature tensor, and more. 1963 edition. Codice libro della libreria BTE9780486618791

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## 7.Introduction to Vector and Tensor Analysis (Dover Books on Mathematics)

Editore: Dover Publications (1972)
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Descrizione libro Dover Publications, 1972. Paperback. Condizione libro: New. Codice libro della libreria 048661879X

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## 8.Introduction to Vector and Tensor Analysis (Dover Books on Mathematics)

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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 048661879X *BRAND NEW* Ships Same Day or Next!. Codice libro della libreria NATARAJB1FI1000363

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## 9.Introduction to Vector and Tensor Analysis (Paperback)

ISBN 10: 048661879X ISBN 13: 9780486618791
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Descrizione libro Paperback. Condizione libro: New. Paperback. A broad introductory treatment, this volume examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima .Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 418 pages. 0.508. Codice libro della libreria 9780486618791

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## 10.Introduction to Vector and Tensor Analysis (Dover Books on Mathematics)

Editore: Dover Publications Inc. (1972)
ISBN 10: 048661879X ISBN 13: 9780486618791
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Descrizione libro Dover Publications Inc., 1972. Condizione libro: New. Codice libro della libreria TV9780486618791

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