Applications of Tensor Analysis

A.J. McConnell

318 pages, parution le 28/03/2003

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Résumé

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.

Contents

Part I - Algebraic Preliminaries

Notation and Definitions
Tensor Analysis

Part II - Algebraic Geometry

Rectilinear Coordinates
The Plane
The Straight Line
The Quadric Cone and the Conic
Systems of Cones and Conics
Central Quadrics
Affine Transformations

Part III - Differential Geometry

Curvilinear Coordinates
Covariant Differentiation
Curves in Space
Intrinsic Geometry of a Surface
The Fundamental Formulae of a Surface
Curves on a Surface

Part IV - Applied Mathematics

Dynamics of a Particle
Dynamics of Rigid Bodies
Electricity and Magnetism
Mechanics of Continuous Media
The Special Theory of Relatvity

Appendix: Orthonormal Curvilinear Coordinates in Mathematical Physics

Caractéristiques techniques

	PAPIER
Éditeur(s)	Dover
Auteur(s)	A.J. McConnell
Parution	28/03/2003
Nb. de pages	318
Format	13,6 x 20,2
Couverture	Broché
Poids	337g
Intérieur	Noir et Blanc
EAN13	9780486603735