1.

Record Nr.

UNINA9910787002303321

Autore

KRANTZ STEVEN G

Titolo

CONVEX ANALYSIS

Pubbl/distr/stampa

[Place of publication not identified], : CRC Press, 2017

ISBN

0-429-08245-2

1-138-44167-8

1-4987-0638-X

Descrizione fisica

1 online resource (174 p.)

Collana

Textbooks in mathematics

Disciplina

515/.882

Soggetti

Convex functions

Functional analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Front Cover; Dedication; Table of Contents; Preface; Biography of Steven G.Krantz; Chapter 0: Why Convexity?; Chapter 1: Basic Ideas; Chapter 2: Characterization of Convexity Using Functions; Chapter 3: Further Developments Using Functions; Chapter 4: Applications of the Idea of Convexity; Chapter 5: More Sophisticated Ideas; Chapter 6: The MiniMax Theorem; Chapter 7: Concluding Remarks; Appendix: Technical Tools; Table of Notation; Glossary; Bibliography

Sommario/riassunto

Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.Convex Analysis introduces analytic tools for studying convexity and provides analytical applications of the concept. The book includes a general background on classical geometric theory which allows readers to obtain a glimpse of how modern mathematics is developed and how g