### About this book

This book presents a largely self-contained account of the main
results of convex analysis, monotone operator theory, and the theory
of nonexpansive operators in the context of Hilbert spaces. Unlike
existing literature, the novelty of this book, and indeed its central
theme, is the tight interplay among the key notions of convexity,
monotonicity, and nonexpansiveness. The presentation is accessible to
a broad audience and attempts to reach out in particular to the
applied sciences and engineering communities, where these tools have
become indispensable.

Graduate students and researchers in pure and applied mathematics will
benefit from this book. It is also directed to researchers in
engineering, decision sciences, economics, and inverse problems, and
can serve as a reference book.

**Author Information**:

Heinz H. Bauschke is a Professor of Mathematics at the University of
British Columbia, Okanagan campus (UBCO) and currently a Canada
Research Chair in Convex Analysis and Optimization. He was born in
Frankfurt where he received his "Diplom-Mathematiker (mit
Auszeichnung)" from Goethe Universität in 1990. He defended his
Ph.D. thesis in Mathematics at Simon Fraser University in 1996 and was
awarded the Governor General's Gold Medal for his graduate work. After
a NSERC Postdoctoral Fellowship spent at the University of Waterloo,
at the Pennsylvania State University, and at the University of
California at Santa Barbara, Dr. Bauschke became College Professor at
Okanagan University College in 1998. He joined the University of
Guelph in 2001, and he returned to Kelowna in 2005, when Okanagan
University College turned into UBCO. In 2009, he became UBCO's first
"Researcher of the Year".

Patrick L. Combettes received the Brevet d'Études du Premier Cycle
from Académie de Versailles in 1977 and the Ph.D. degree from North
Carolina State University in 1989. In 1990, he joined the City College
and the Graduate Center of the City University of New York where he
became a Full Professor in 1999. Since 1999, he has been with the
Faculty of Mathematics of Université Pierre et Marie Curie -- Paris 6,
laboratoire Jacques-Louis Lions, where he is presently a Professeur de
Classe Exceptionnelle.
He was elected Fellow of the IEEE in 2005.

**Content Level**: Research