Elements of Tensor Calculus
A. Lichnerowicz
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
This classic introductory text, geared toward undergraduate students of mathematics, is the work of an internationally renowned authority on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as discussions of the most important applications of tensor calculus.Starting with a chapter on vector spaces, Part I explores affine Euclidean point spaces, tensor algebra, curvilinear coordinates in Euclidean space, and Riemannian spaces. Part II examines the use of tensors in classical analytical dynamics and details the role of tensors in special relativity theory. The book concludes with a brief presentation of the field equations of general relativity theory.
Kundenbewertungen
physical sciences, Tensor Algebra, tensor flow, Affine Euclidean Point Spaces, calculus, christoffel symbols, euclidean space, nonfiction, Curvilinear Coordinates in Euclidean Space, analytical dynamics, Special Relativity, antisymmetric tensor, fundamental theorems, science and math, Vector Spaces, Riemannian Spaces, solving calculus problems, Maxwell's Equation, mathematical development, Tensor Calculus and Classical Dynamics, theoretical, mathematics, teaching calculus, euclidean point, riemannian spaces