"This book concerns matter that is intrinsically difficult: convex
optimization, complementarity and duality, nonsmooth analysis,
linear and nonlinear programming, etc. The author has skillfully
introduced these and many more concepts, and woven them into a
seamless whole by retaining an easy and consistent style
throughout. The book is not all theory: There are many real-life
applications in structural engineering, cable networks, frictional
contact problems, and plasticity... I recommend it to any reader
who desires a modern, authoritative account of nonsmooth mechanics
and convex optimization." - Prof. Graham M.L. Gladwell,
Distinguished Professor Emeritus, University of Waterloo, Fellow of
the Royal Society of Canada "... reads very well-the structure is
good, the language and style are clear and fluent, and the material
is rendered accessible by a careful presentation that contains many
concrete examples. The range of applications, particularly to
problems in mechanics, is admirable and a valuable complement to
theoretical and computational investigations that are at the
forefront of the areas concerned." - Prof. B. Daya Reddy,
Department of Mathematics and Applied Mathematics, Director of
Centre for Research in Computational and Applied Mechanics,
University of Cape Town, South Africa "Many materials and
structures (e.g., cable networks, membrane) involved in practical
engineering applications have complex responses that cannot be
described by smooth constitutive relations. ... The author shows
how these difficult problems can be tackled in the framework of
convex analysis by arranging the carefully chosen materials in an
elegant way. Most of the contents of the book are from the original
contributions of the author. They are both mathematically rigorous
and readable. This book is a must-read for anyone who intends to
get an authoritative and state-of-art description for the analysis
of nonsmooth mechanics problems with theory and tools from convex
analysis." - Prof. Xu Guo, State Key Laboratory of Structural
Analysis for Industrial Equipment, Department of Engineering
Mechanics, Dalian University of Technology
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