Encyclopaedia of Mathematical Sciences: Convex Analysis and Approximation Theory

Tikhomirov, Vladimir M.; Gamkrelidze, Revaz V.; Newton, David

Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis, develops the main concepts and results, and mentions some beautiful theorems. The relationship of convex analysis to optimization problems, to the calculus of variations, to optimal control and to geometry is considered, and the evolution of the ideas underlying approximation theory, from its origins to the present day, is discussed. The book is addressed both to students who want to acquaint themselves with these trends and to lecturers in mathematical analysis, optimization and numerical methods, as well as to researchers in these fields who would like to tackle the topic as a whole and seek inspiration for its further development.

Details

Published by: Springer

Publication Date: 2011-09-16

Format: Paperback

ISBN-13: 9783642647680

DOI: 10.1007/978-3-642-61267-1

Dimensions: 235cm x155cm

Pages: 255