An introduction to measure chain (time scale) theory with emphasis on its usefulness in allowing for the simultaneous development of differential equations and difference equations. Motivating the subject is the notion that dynamic equations on measure chains can build bridges between continuous and discrete mathematics. The study of measure chain theory has also led to applications in the study of insect population models, neural networks, heat transfer, epidemic models. This book may stimulate the development of new kinds of equations with potentially new applications. Includes examples, exercises, solutions.

Review

"This would be an excellent book to use in a topics course on dynamic equations on time scales at the advanced undergraduate level and/or beginning graduate level."

―Zentralblatt Math

"The monograph under review comes at an excellent time in the rapid development of dynamic equations on time scales. Both authors are authorities in this field of study and they have produced an excellent introduction to it. Much of the material is accessible to upper-level undergraduate mathematics majors, and yet, the results and the techniques are pertinent to active researchers in the area."

―Mathematical Reviews

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