How Long to Read Mathematical Tools for Changing Scale in the Analysis of Physical Systems
By William G. Gray
How Long Does it Take to Read Mathematical Tools for Changing Scale in the Analysis of Physical Systems?
It takes the average reader 4 hours and 22 minutes to read Mathematical Tools for Changing Scale in the Analysis of Physical Systems by William G. Gray
Assuming a reading speed of 250 words per minute. Learn more
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. 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.
How long is Mathematical Tools for Changing Scale in the Analysis of Physical Systems?
Mathematical Tools for Changing Scale in the Analysis of Physical Systems by William G. Gray is 256 pages long, and a total of 65,536 words.
This makes it 86% the length of the average book. It also has 80% more words than the average book.
How Long Does it Take to Read Mathematical Tools for Changing Scale in the Analysis of Physical Systems Aloud?
The average oral reading speed is 183 words per minute. This means it takes 5 hours and 58 minutes to read Mathematical Tools for Changing Scale in the Analysis of Physical Systems aloud.
What Reading Level is Mathematical Tools for Changing Scale in the Analysis of Physical Systems?
Mathematical Tools for Changing Scale in the Analysis of Physical Systems is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
Where Can I Buy Mathematical Tools for Changing Scale in the Analysis of Physical Systems?
Mathematical Tools for Changing Scale in the Analysis of Physical Systems by William G. Gray is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.
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