Applications of Tensor Analysis (Dover Books on Mathematics)

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).

• Introduction to Tensor Analysis and the Calculus of Moving Surfaces
• Vector and Tensor Analysis with Applications (Dover Books on Mathematics)
• Schaums Outline of Tensor Calculus (Schaum's Outlines)
• Tensors made easy
• Tensor Analysis on Manifolds (Dover Books on Mathematics)
• Tensor Calculus Made Simple
• An Introduction to Linear Algebra and Tensors, Revised Edition
• The Absolute Differential Calculus (Calculus of Tensors) (Dover Books on Mathematics)
• Tensors, Differential Forms, and Variational Principles (Dover Books on Mathematics)
• Space, Time, Matter