Download Applications of Tensor Analysis (Dover Books on Mathematics) by A. J. McConnell PDF

By A. J. McConnell

This regular paintings applies tensorial ways to matters in the realm of complex university arithmetic. In its 4 major divisions, it explains the elemental principles and the notation of tensor conception; covers the geometrical therapy of tensor algebra; introduces the speculation of the differentiation of tensors; and applies arithmetic to dynamics, electrical energy, elasticity, and hydrodynamics.
Partial contents: algebraic preliminaries (notation, definitions, determinants, tensor analysis); algebraic geometry (rectilinear coordinates, the aircraft, the directly line, the quadric cone and the conic, structures of cones and conics, imperative quadrics, the overall quadric, affine transformations); differential geometry (curvilinear coordinates, covariant differentiation, curves in an area, intrinsic geometry of a floor, basic formulae of a floor, curves on a surface); utilized arithmetic (dynamics of a debris, dynamics of inflexible our bodies, electrical energy and magnetism, mechanics of constant media, detailed concept of relativity).

Show description

Read or Download Applications of Tensor Analysis (Dover Books on Mathematics) PDF

Best calculus books

Nonlinear Approaches in Engineering Applications 2

Nonlinear methods in Engineering purposes 2 specializes in the applying of nonlinear techniques to diverse engineering and technology difficulties. the choice of the subjects for this publication relies at the most sensible papers provided within the ASME 2010 and 2011 within the tracks of Dynamic structures and keep watch over, optimum methods in Nonlinear Dynamics and Acoustics, either one of that have been geared up via the editors.

Introductory Mathematical Analysis for Business, Economics and Life and Social Sciences (Arab World Editions)

Introductory Mathematical research for company, Economics and lifestyles and Social Sciences (Arab international Editions)

Álgebra Linear Contemporânea (Portuguese Edition)

Um livro atual, em linguagem acessível e com grande quantidade de exercícios. Howard Anton, autor de Cálculo: um novo horizonte e Álgebra linear com aplicações, e Robert Busby abordam a álgebra sob o ponto de vista geométrico, menos abstrato, o que facilita o entendimento do conteúdo. Possui fabric de apoio, em inglês, para professores.

Differential Equations:An Introduction to Basic Concepts, Results and Applications

This ebook offers, in a unitary body and from a brand new standpoint, the most options and result of some of the most interesting branches of contemporary arithmetic, particularly differential equations, and provides the reader one other standpoint touching on a potential technique to process the issues of life, area of expertise, approximation, and continuation of the strategies to a Cauchy challenge.

Extra resources for Applications of Tensor Analysis (Dover Books on Mathematics)

Example text

Download PDF sample

Rated 4.01 of 5 – based on 42 votes