1.

Record Nr.

UNINA9910438144803321

Autore

Çınlar E (Erhan), <1941->

Titolo

Real and Convex Analysis / / by Erhan Çınlar, Robert J Vanderbei

Pubbl/distr/stampa

New York, NY : , : Springer US : , : Imprint : Springer, , 2013

ISBN

9781461452577

1461452570

Edizione

[1st ed. 2013.]

Descrizione fisica

1 online resource (163 p.)

Collana

Undergraduate Texts in Mathematics, , 2197-5604

Disciplina

515.8

Soggetti

Mathematical analysis

Engineering mathematics

Engineering - Data processing

Operations research

Management science

Mathematical optimization

Analysis

Mathematical and Computational Engineering Applications

Operations Research, Management Science

Optimization

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 and index.

Nota di contenuto

Sets and Functions -- Metric Spaces -- Functions on Metric Spaces -- Differential and Integral Equations -- Convexity.-Convex Optimization -- Measure and Integration -- Bibiography.-Index.-.

Sommario/riassunto

This book offers a first course in analysis for scientists and engineers. It can be used at the advanced undergraduate level or as part of the curriculum in a graduate program.    The book  is  built around metric spaces. In the first three chapters, the authors lay the foundational material and cover the all-important “four-C’s”: convergence, completeness, compactness, and continuity. In subsequent chapters, the basic tools of analysis are used to give brief introductions to differential and integral equations, convex analysis, and measure theory.    The treatment is modern and aesthetically pleasing. The book contains  detailed illustrations, examples and exercises. It lays the



groundwork for the needs of classical fields as well as the important new fields of optimization and probability theory.