Presented in this book is the theory of nonlinear functional analysis in a systematic way, culminating with applications to concrete differential and integral equations. The main topics discussed are - monotone operators, fixed point theorems, degree theory and random operator equations. In eight chapters the book first builds the theory of monotone operators and fixed points as essential ingredients and then goes on to give applications of the main theory to differential and integral equations. Included is a chapter on random operators, to give an interdisciplinary approach to the subject. The book should be of immense use to not only senior undergraduate and graduate students of mathematics but also those interested or in need of information about specific results or techniques in nonlinear analysis.
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