Title | Analysis II [electronic resource] : Convex Analysis and Approximation Theory / edited by R. V. Gamkrelidze |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg, 1990 |

Connect to | http://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