By C. E. Springer

ISBN-10: 0486498018

ISBN-13: 9780486498010

Concise and trouble-free, this college-level textual content assumes just a wisdom of simple calculus in its common and sluggish improvement of tensor concept. The introductory strategy bridges the space among mere manipulation and a real figuring out of a huge point of either natural and utilized mathematics.
Beginning with a attention of coordinate variations and mappings, the therapy examines loci in three-space, transformation of coordinates in house and differentiation, tensor algebra and research, and vector research and algebra. extra issues comprise differentiation of vectors and tensors, scalar and vector fields, and integration of vectors. The concluding bankruptcy employs tensor idea to increase the differential equations of geodesics on a floor in numerous other ways to demonstrate additional differential geometry.

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Tensor and Vector Analysis: With Applications to Differential Geometry (Dover Books on Mathematics) by C. E. Springer


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