How Long to Read Mathematical Aspects of Reacting and Diffusing Systems

By P. C. Fife

How Long Does it Take to Read Mathematical Aspects of Reacting and Diffusing Systems?

It takes the average reader 3 hours and 13 minutes to read Mathematical Aspects of Reacting and Diffusing Systems by P. C. Fife

Assuming a reading speed of 250 words per minute. Learn more

Description

Modeling and analyzing the dynamics of chemical mixtures by means of differ- tial equations is one of the prime concerns of chemical engineering theorists. These equations often take the form of systems of nonlinear parabolic partial d- ferential equations, or reaction-diffusion equations, when there is diffusion of chemical substances involved. A good overview of this endeavor can be had by re- ing the two volumes by R. Aris (1975), who himself was one of the main contributors to the theory. Enthusiasm for the models developed has been shared by parts of the mathematical community, and these models have, in fact, provided motivation for some beautiful mathematical results. There are analogies between chemical reactors and certain biological systems. One such analogy is rather obvious: a single living organism is a dynamic structure built of molecules and ions, many of which react and diffuse. Other analogies are less obvious; for example, the electric potential of a membrane can diffuse like a chemical, and of course can interact with real chemical species (ions) which are transported through the membrane. These facts gave rise to Hodgkin's and Huxley's celebrated model for the propagation of nerve signals. On the level of populations, individuals interact and move about, and so it is not surprising that here, again, the simplest continuous space-time interaction-migration models have the same g- eral appearance as those for diffusing and reacting chemical systems.

How long is Mathematical Aspects of Reacting and Diffusing Systems?

Mathematical Aspects of Reacting and Diffusing Systems by P. C. Fife is 192 pages long, and a total of 48,384 words.

This makes it 65% the length of the average book. It also has 59% more words than the average book.

How Long Does it Take to Read Mathematical Aspects of Reacting and Diffusing Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 24 minutes to read Mathematical Aspects of Reacting and Diffusing Systems aloud.

What Reading Level is Mathematical Aspects of Reacting and Diffusing Systems?

Mathematical Aspects of Reacting and Diffusing Systems is suitable for students ages 10 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 Aspects of Reacting and Diffusing Systems?

Mathematical Aspects of Reacting and Diffusing Systems by P. C. Fife 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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