Variational Analysis (Grundlehren der mathematischen Wissenschaften, 317)

A winner of the prestigious Lanchester prize in 1997 (the very year it was published), this book is an instant classic. Written by two eminent researchers in the field, it is a handy reference on convex analysis, duality, optimality conditions, set-valued mappings, epigraphical convergence and variational problems.Resulting analysis is applicable to a wide variety of problems in mathematical optimization, operations research, management science, economics and engineering. New and unpublished structural results have been derived in this book and presented in the light of new developments in this area. To give an example, "Variational Analysis" advances some of the results in the princeton classic "Convex Analysis" (an almost necessary read for any researcher in mathematical optimization) also written by the first author of this book. To my knowledge, there is no other book at this time which compiles all the results in this area under one hood.The book follows a theorem-proof format for most part. Thus, it serves more as a reference than a textbook. A complete reading would be daunting given the length and density of material in the text.This book is worth buying if you are a researcher in mathematical optimization. To quote the citation of the Lanchester award:"In all, this book should serve as a landmark in the technical progress of optimization, an essential technical tool of operations research and the management sciences."