Applications of Tensor Analysis (Dover Books on Mathematics)
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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).


Sticky notes: On Kindle Scribe
Page Flip: Enabled
Part of series: Dover Books on Mathematics
Language: English
File size: 21082 KB
Publisher: Dover Publications
Print length: 537 pages
Publication date: June 10, 2014
Enhanced typesetting: Enabled
Word Wise: Not Enabled
subtitle: Kindle Edition
author: A. J. McConnell