Description: This book introduces fundamental methods of nonlinear analysis, illustrating them in straightforward examples. The revised new edition offers evolutionary equations and differential equations on manifolds, and presents more advanced material in appendices.
Review Quotes:
From the reviews of the second edition:
"The book is sufficiently wide-ranging to offer a panorama over nonlinear analysis and its applications to differential equations, and, at the same time, sufficiently structured and organized in order to allow the reader to easily access a specific topic in this broad domain of mathematics. Certainly, undergraduate and graduate students, as well as researchers in pure and applied mathematics will find that the book is a useful field guide providing excellent motivation for study and inspiration for new contributions and applications." (Radu Precup, Zentralblatt MATH, Vol. 1264, 2013)