Tensor and Vector Analysis: With Applications to Differential Geometry
Concise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied mathematics.
Beginning with a consideration of coordinate transformations and mappings, the treatment examines loci in three-space, transformation of coordinates in space and differentiation, tensor algebra and analysis, and vector analysis and algebra. Additional topics include differentiation of vectors and tensors, scalar and vector fields, and integration of vectors. The concluding chapter employs tensor theory to develop the differential equations of geodesics on a surface in several different ways to illustrate further differential geometry.
1111670245
Tensor and Vector Analysis: With Applications to Differential Geometry
Concise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied mathematics.
Beginning with a consideration of coordinate transformations and mappings, the treatment examines loci in three-space, transformation of coordinates in space and differentiation, tensor algebra and analysis, and vector analysis and algebra. Additional topics include differentiation of vectors and tensors, scalar and vector fields, and integration of vectors. The concluding chapter employs tensor theory to develop the differential equations of geodesics on a surface in several different ways to illustrate further differential geometry.
19.95 In Stock
Tensor and Vector Analysis: With Applications to Differential Geometry

Tensor and Vector Analysis: With Applications to Differential Geometry

by C. E. Springer
Tensor and Vector Analysis: With Applications to Differential Geometry

Tensor and Vector Analysis: With Applications to Differential Geometry

by C. E. Springer

eBook

$19.95 

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Overview

Concise and user-friendly, this college-level text assumes only a knowledge of basic calculus in its elementary and gradual development of tensor theory. The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied mathematics.
Beginning with a consideration of coordinate transformations and mappings, the treatment examines loci in three-space, transformation of coordinates in space and differentiation, tensor algebra and analysis, and vector analysis and algebra. Additional topics include differentiation of vectors and tensors, scalar and vector fields, and integration of vectors. The concluding chapter employs tensor theory to develop the differential equations of geodesics on a surface in several different ways to illustrate further differential geometry.

Product Details

ISBN-13: 9780486320915
Publisher: Dover Publications
Publication date: 08/29/2013
Series: Dover Books on Mathematics
Sold by: Barnes & Noble
Format: eBook
Pages: 256
File size: 17 MB
Note: This product may take a few minutes to download.

About the Author

C. E. Springer was Professor of Mathematics at the University of Oklahoma.

Table of Contents

1. Coordinate Transformations and Mappings2. Loci in Three-Space3. Transformation of Coordinates in Space; Differentiation4. Tensor Algebra5. Tensor Analysis6. Vector Analysis7. Vector Algebra8. Differentiation of Vectors9. Differentiation of Tensors10. Scalar and Vector Fields11. Integration of Vectors12. Geodesic and Union CurvesIndex
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