Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics) - Softcover

Springer, C. E.

 
9780486498010: Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics)
Softcover
ISBN 10: 0486498018 ISBN 13: 9780486498010
Publisher: Dover Publications, 2012

Synopsis

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.

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About the Author

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

"About this title" may belong to another edition of this title.

Publisher
Dover Publications
Publication date
2012
Language
English
ISBN 10 
0486498018
ISBN 13 
9780486498010
Binding
Paperback
Number of pages
256