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TitleAnalysis II [electronic resource] : Convex Analysis and Approximation Theory / edited by R. V. Gamkrelidze
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1990
Connect tohttp://dx.doi.org/10.1007/978-3-642-61267-1
Descript VII, 255 p. online resource

SUMMARY

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


CONTENT

I. Convex Analysis -- II. Approximation Theory -- Author Index


Mathematics Functions of real variables System theory Geometry Calculus of variations Economic theory Mathematics Real Functions Systems Theory Control Calculus of Variations and Optimal Control; Optimization Geometry Economic Theory/Quantitative Economics/Mathematical Methods



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