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Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics) - Softcover
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.
- PublisherDover Publications
- Publication date2012
- ISBN 10 0486498018
- ISBN 13 9780486498010
- BindingPaperback
- LanguageEnglish
- Number of pages256
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Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics)
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Tensor and Vector Analysis (Paperback)
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Paperback. Condition: new. Paperback. 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. Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486498010
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Tensor and Vector Analysis
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Tensor and Vector Analysis (Dover Books on Mathematics)
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