Books by Mark McKibben

This text provides an introductory understanding of stochastic evolution equations for those with minimal formal training in mathematics. It develops all necessary prerequisite material in real analysis, probability theory, and functional analysis. The author presents examples of 20 different models spanning chemical kinetics, pharmacokinetics, neural networks, mathematical physics, epidemiology, environmental issues, and more. He also covers recent research areas, including functional and Sobolev-type stochastic evolution equations. More than 500 questions and exercises are included throughout, with hints at the end of each chapter.

Offers an account of a rudimentary core of theoretical results that should be understood by those studying evolution equations. This text gradually builds readers' intuition and the material culminates in a discussion of an area of active research. It sets the stage for the next step of theoretical development, allowing you to see the big picture.