Real and Convex Analysis

2013
ISBN: 978-1-4899-9859-0
Verlag: Springer

Buch, Englisch, 161 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 2701 g

Reihe: Undergraduate Texts in Mathematics

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

Zielgruppe

Upper undergraduate

Autoren/Hrsg.

Çinlar, Erhan

Vanderbei, Robert J

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis

Inhaltsverzeichnis

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

Über Autor(innen)

Erhan Cinlar, Professor and former Chair of Operations Research and Financial Engineering, Princeton University Robert J. Vanderbei, Professor and former Chair of Operations Research and Financial Engineering, Princeton University