Vector Analysis and Cartesian Tensors
โ Scribed by D. E. Bourne, P. C. Kendall (auth.)
- Publisher
- Springer US
- Year
- 1992
- Tongue
- English
- Leaves
- 313
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Content:
Front Matter....Pages i-xii
Rectangular cartesian coordinates and rotation of axes....Pages 1-20
Scalar and vector algebra....Pages 21-54
Vector functions of a real variable. Differential geometry of curves....Pages 55-88
Scalar and vector fields....Pages 89-146
Line, surface and volume integrals....Pages 147-194
Integral theorems....Pages 195-224
Applications in potential theory....Pages 225-243
Cartesian tensors....Pages 244-264
Representation theorems for isotropic tensor functions....Pages 265-281
Back Matter....Pages 282-304
๐ SIMILAR VOLUMES
This is a comprehensive and self-contained text suitable for use by undergraduate mathematics, science and engineering students. Vectors are introduced in terms of cartesian components, making the concepts of gradient, divergent and curl particularly simple. The text is supported by copious examples
<em>Linear Vector Spaces and Cartesian Tensors</em> is primarily concerned with the theory of finite dimensional Euclidian spaces. It makes a careful distinction between real and complex spaces, with an emphasis on real spaces, and focuses on those elements of the theory that are especially importan