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

Springer, C. E.

ISBN 10: 0486498018 / ISBN 13: 9780486498010

Published by Dover Publications, 2012

About this Item

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Bibliographic Details

• Title: Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics)
• Publisher: Dover Publications
• Publication Date: 2012
• Language: English
• ISBN 10: 0486498018
• ISBN 13: 9780486498010
• Binding: paperback
• Condition: Very Good

About this title

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.

About the Author

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