Principles And Applications Of Tensor Analysis

Matthew S. Smith, "Principles And Applications Of Tensor Analysis"
English | 1963 | ISBN: 1258259699 | PDF | pages: 127 | 6 mb
Since the extensive use of tensors by Einstein, important applications in other fields, such as differential geometry, classical mechanics, and the theory of elasticity, have evolved. Therefore, the ability to understand and apply tensors is a definite advantage to engineers, physicists, and applied mathematicians. Tensor equations are powerful analysis tools that give added insight to the understanding of the fundamental laws of physics and engineering.

This text, using practical examples throughout, systematically explains and demonstrates basic tensor theory and its applications. The book is divided into four chapters. The first two chapters present basic tensor theory, including-Christoffel symbols, covariant derivatives, and Laplace's equation. The third chapter includes the Riemann-ChristofFel tensors, and the application of tensor analysis to several topics in differential geometry. The latter were selected because they have numerous important applications in the general theory of relativity, analytical dynamics, and the theory of elasticity.

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