Mathematical Tools for Changing Scale in the Analysis of Physical Systems is popular PDF and ePub book, written by William G. Gray in 2020-01-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Mathematical Tools for Changing Scale in the Analysis of Physical Systems can be Read Online from any device for your convenience.
Mathematical Tools for Changing Scale in the Analysis of Physical Systems Book PDF 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. Mathematical Tools for Changing Scale in the Analysis of Physical Systems also provides sample applications of the theorems to obtain continuum balance relations for arbitrary surfaces, multiphase systems, and problems of reduced dimensionality. The mathematical techniques and tabulated theorems ensure the book will be an invaluable analysis tool for practitioners and researchers studying balance equations for systems encountered in the fields of hydraulics, hydrology, porous media physics, structural analysis, chemical transport, heat transfer, and continuum mechanics.
Detail Book of Mathematical Tools for Changing Scale in the Analysis of Physical Systems PDF
- Author : William G. Gray
- Release : 29 January 2020
- Publisher : CRC Press
- ISBN : 9781000722772
- Genre : Mathematics
- Total Page : 260 pages
- Language : English
- PDF File Size : 16,6 Mb
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