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With many concrete examples and questions, this book provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. Developing all necessary prerequisite material, from real analysis to functional analysis, it gives nonspecialists the foundation to understand what evolution equations are and how to work with them in various areas of practice. The book covers 35 different models spanning chemical kinetics, pharmacokinetics, neural networks, chemotaxis, mathematical physics, beam dynamics, aeroelasticity, infectious disease epidemiology, combustion, and environmental issues.
Mark A. McKibben is an associate professor in the mathematics and computer science department at Goucher College in Baltimore, Maryland, USA. Dr. McKibben is the author of more than 25 research articles and a referee for more than 30 journals. His research areas include differential equations, stochastic analysis, and applied functional analysis.
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