Physical Components of Tensors Contributor(s): Altman, Wolf (Author), Oliveira, Antonio Marmo De (Author) |
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ISBN: 1138826421 ISBN-13: 9781138826427 Publisher: CRC Press OUR PRICE: $79.15 Product Type: Paperback - Other Formats Published: December 2024 This item may be ordered no more than 25 days prior to its publication date of December 31, 2024 |
Additional Information |
BISAC Categories: - Mathematics | Applied - Science | Mechanics - General - Technology & Engineering | Mechanical |
Dewey: 620.001 |
Physical Information: 200 pages |
Descriptions, Reviews, Etc. |
Publisher Description: Illustrating the important aspects of tensor calculus, and highlighting its most practical features, Physical Components of Tensors presents an authoritative and complete explanation of tensor calculus that is based on transformations of bases of vector spaces rather than on transformations of coordinates. Written with graduate students, professors, and researchers in the areas of elasticity and shell theories in mind, this text focuses on the physical and nonholonomic components of tensors and applies them to the theories. It establishes a theory of physical and anholonomic components of tensors and applies the theory of dimensional analysis to tensors and (anholonomic) connections. This theory shows the relationship and compatibility among several existing definitions of physical components of tensors when referred to nonorthogonal coordinates. The book assumes a basic knowledge of linear algebra and elementary calculus, but revisits these subjects and introduces the mathematical backgrounds for the theory in the first three chapters. In addition, all field equations are also given in physical components as well. Comprised of five chapters, this noteworthy text:
Physical Components of Tensors contains a comprehensive account of tensor calculus, and is an essential reference for graduate students or engineers concerned with solid and structural mechanics. |