This edition is intended for undergraduates in engineering, physics, mathematics, and the applied sciences, and can serve as a springboard for further work in continuum mechanics or general relativity. Starting from a basic knowledge of calculus and matrix algebra, together with fundamental ideas from mechanics and geometry, the text gradually develops the tools for formulating and manipulating the field equations of continuum mechanics. The mathematics of tensor analysis are introduced in stages: the concept of a tensor as an operator; the representation of a tensor in terms of its Cartesian components; the components of a tensor relative to a general basis; tensor notation; and tensor calculus. The physical interpretation and application of vectors and tensors are stressed throughout. The new edition includes more exercises, especially at the end of chapter 4. Furthermore, the author has appended a section on differential geometry, the essential mathematical tool in the study of the 2-dimensional structural shells and 4-dimensional general relativity.
- ISBN10 354094088X
- ISBN13 9783540940883
- Publish Date December 1993 (first published 1 January 1982)
- Publish Status Out of Print
- Out of Print 26 December 2011
- Publish Country DE
- Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- Edition 2nd Revised edition
- Format Hardcover
- Pages 126
- Language English