Applications of Tensor Analysis (Dover Books on Mathematics) - Softcover

McConnell, A. J.

Softcover

ISBN 10: 0486603733 ISBN 13: 9780486603735

Publisher: Dover Publications, 2011

Synopsis

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).

Edition details

• Publisher: Dover Publications
• Publication date: 2011
• ISBN 10: 0486603733
• ISBN 13: 9780486603735
• Binding: Paperback
• Language: English
• Number of pages: 352