| Applications of Tensor Analysis Revised Edition Contributor(s): McConnell, A. J. (Author) |
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ISBN: 0486603733 ISBN-13: 9780486603735 Publisher: Dover Publications OUR PRICE: $17.06 Product Type: Paperback - Other Formats Published: November 2011 |
| Additional Information |
| BISAC Categories: - Mathematics | Calculus - Mathematics | Vector Analysis |
| Series: Dover Books on Mathematics |
| Physical Information: 0.66" H x 5.4" W x 7.97" (0.70 lbs) 352 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This standard work applies tensorial methods to subjects within the realm of advanced college mathematics. In its four main divisions, it explains the fundamental ideas and the notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity, and hydrodynamics. Partial contents: algebraic preliminaries (notation, definitions, determinants, tensor analysis); algebraic geometry (rectilinear coordinates, the plane, the straight line, the quadric cone and the conic, systems of cones and conics, central quadrics, the general quadric, affine transformations); differential geometry (curvilinear coordinates, covariant differentiation, curves in a space, intrinsic geometry of a surface, fundamental formulae of a surface, curves on a surface); applied mathematics (dynamics of a particles, dynamics of rigid bodies, electricity and magnetism, mechanics of continuous media, special theory of relativity). |