Patterns and Waves

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This textbook is concerned with the study of certain classes of nonlinear partial differential equations known collectively as reaction-diffusion equations. The author's aim is to present an introduction to the theory of these equations, to provide a compendium of useful techniques for their analysis, and to show how these find application in a variety of settings, notably in pattern formation and nonplanar wave-like structures. Throughout, there are fully worked out examples to illustrate the salient themes of the discussion, and there are extensive examples to further extend the material covered. Readers are expected to have a firm background in the theory of differential equations, and the basics of functional analysis. Consequently, this book will make an ideal introduction to the subject for graduate students as well as those mathematicians and scientists whose work touches on these topics.

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