Applications Of Tensor Analysis (Dover Books On Mathematics)

 Applications of Tensor Analysis (Dover Books on Mathematics) PDF Text fb2 ebook

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...

Series: Dover Books on Mathematics
Paperback: 352 pages
Publisher: Dover Publications (November 17, 2011)
Language: English
ISBN-10: 9780486603735
ISBN-13: 978-0486603735
ASIN: 0486603733
Product Dimensions: 5.4 x 0.7 x 8 inches
Amazon Rank: 178768
Format: PDF ePub fb2 TXT fb2 ebook

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Even though it was written in 1931, it reads like a modern text and is very clear....



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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).