Mathematical tools for changing spatial scales in the analysis of physical systems /
"Mathematical Tools for Changing Scale in the Analysis of Physical Systems presents a new systematic approach to changing the spatial scale of the differential equations describing science and engineering problems. It defines vectors, tensors, and differential operators in arbitrary orthogonal...
| Corporate Author: | |
|---|---|
| Other Authors: | |
| Format: | eBook |
| Language: | English |
| Published: |
Boca Raton :
CRC Press,
©1993.
|
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| Summary: | "Mathematical Tools for Changing Scale in the Analysis of Physical Systems presents a new systematic approach to changing the spatial scale of the differential equations describing science and engineering problems. It defines vectors, tensors, and differential operators in arbitrary orthogonal coordinate systems without resorting to conceptually difficult Riemmann-Christoffel tensor and contravariant and covariant base vectors. It reveals the usefulness of generalized functions for indicating curvilineal, surficial, or spatial regions of integration and for transforming among these integration regions. These powerful mathematical tools are harnessed to provide 128 theorems in tabular format (most not previously available in the literature) that transform time-derivative and del operators of a function at one scale to the corresponding operators acting on the function at a larger scale"--Publisher description |
|---|---|
| Physical Description: | 1 online resource (xiii, 232 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9780367812225 0367812223 9781000722772 1000722775 9781000714951 1000714950 |