Tensors Differential Forms And Variational Principles

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Tensors, Differential Forms, and Variational Principles

Author: David Lovelock
language: en
Publisher: Courier Corporation
Release Date: 2012-04-20
Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
Tensor and Vector Analysis

Author: C. E. Springer
language: en
Publisher: Courier Corporation
Release Date: 2013-09-26
Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.
Tensor Analysis on Manifolds

Author: Richard L. Bishop
language: en
Publisher: Courier Corporation
Release Date: 1980-12-01
Striking just the right balance between formal and abstract approaches, this text proceeds from generalities to specifics. Topics include function-theoretical and algebraic aspects, manifolds and integration theory, several important structures, and adaptation to classical mechanics. "First-rate. . . deserves to be widely read." — American Mathematical Monthly. 1980 edition.