Linear vector spaces and Cartesian tensors
著者
書誌事項
Linear vector spaces and Cartesian tensors
Oxford University Press, 1998
- : cloth
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注記
Includes index
内容説明・目次
内容説明
Designed for a first year graduate course in Mechanics, this text brings together never before collected works on linear vector spaces, on which the author is a world renowned authority. It is primarily concerned with finite dimensional real Euclidean spaces, with Cartesian tensors viewed as linear transformations of such a space into itself, and with applications of these notions, especially in mechanics. The geometric content of the theory and the distinction between matrices and tensors are emphasized, and absolute- and component- notation are both employed. Problems and solutions are included.
目次
- Chapter 1: Linear Vector Spaces
- Chapter 2: Linear Transformations
- Chapter 3: Finite Dimensional Euclidean Spaces and Cartesian Tensors
- Chapter 4: Four-Tensors
- Chapter 5: Applications
- Appendix 1: Background
- Appendix 2: Solutions for Selected Problems
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