<p>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.<br>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. </p>

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

Science & Math

Springer, C.E.

Mathematics

Dover Publications

Geometry and Analysis of Projective Spaces

W.H.Freeman & Company

See the best price to sell, buy, or rent books by Springer, C.E.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Springer, C.E.

See the best price to sell, buy, or rent books by Springer, C.E.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

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

Geometry and Analysis of Projective Spaces