Applications of Tensor Analysis

A. J. McConnell

ISBN 10: 0486603733 / ISBN 13: 9780486603735

Editore: Dover Publications, 2011

Riguardo questo articolo

: Este libro es una obra estándar que aplica métodos tensoriales a temas dentro del ámbito de las matemáticas universitarias avanzadas. Explica las ideas fundamentales y la notación de la teoría tensorial, cubre el tratamiento geométrico del álgebra tensorial, introduce la teoría de la diferenciación de tensores y aplica las matemáticas a la dinámica, la electricidad, la elasticidad y la hidrodinámica. Incluye ejercicios con respuestas. EAN: 9780486603735 Tipo: Libros Categoría: Ciencias Título: Applications of Tensor Analysis Autor: A. J. McConnell Editorial: Dover Publications Idioma: en Páginas: 352 Formato: tapa blanda.

Codice articolo Happ-2025-08-08-a4a5f199

Dati bibliografici

• Titolo: Applications of Tensor Analysis
• Editore: Dover Publications
• Data di pubblicazione: 2011
• Lingua: Inglese
• ISBN 10: 0486603733
• ISBN 13: 9780486603735
• Rilegatura: Brossura
• Condizione: Bueno

Descrizione articolo

Riassunto

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).

Product Description

Standard work applies tensorial methods to subjects within realm of advanced college mathematics. Text explains fundamental ideas and notation of tensor theory; covers geometrical treatment of tensor algebra; introduces theory of differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity and hydrodynamics. 685 exercises, most with answers.