Mathematical Tools for Changing Scale in the Analysis of Physical Systems Contributor(s): Gray, William G. (Author), Leijnse, Anton (Author), Kolar, Randall L. (Author) |
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ISBN: 0849389348 ISBN-13: 9780849389344 Publisher: CRC Press OUR PRICE: $133.00 Product Type: Hardcover - Other Formats Published: July 1993 |
Additional Information |
BISAC Categories: - Mathematics | Calculus - Mathematics | Applied - Mathematics | Mathematical Analysis |
Dewey: 515.024 |
LCCN: QA300 |
Physical Information: 0.76" H x 7.2" W x 10.46" (1.51 lbs) 256 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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. |