Tensor and Vector Analysis

With Applications to Differential Geometry

Nonfiction, Science & Nature, Mathematics, Vector Analysis
Cover of the book Tensor and Vector Analysis by C. E. Springer, Dover Publications
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Author: C. E. Springer ISBN: 9780486320915
Publisher: Dover Publications Publication: September 26, 2013
Imprint: Dover Publications Language: English
Author: C. E. Springer
ISBN: 9780486320915
Publisher: Dover Publications
Publication: September 26, 2013
Imprint: Dover Publications
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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