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Real and Convex Analysis

Springer US,
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The first undergraduate text to provide an accessible introduction to real and convex analysis, this book by renowned Princeton University academics covers all the fundamentals as well as the tools of analysis, and features lots of illustrations and exercises.

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Titel: Real and Convex Analysis
Autoren/Herausgeber: Erhan Çınlar, Robert J Vanderbei
Aus der Reihe: Undergraduate Texts in Mathematics
Ausgabe: 2013

ISBN/EAN: 9781461452560

Seitenzahl: 161
Format: 23,5 x 15,5 cm
Produktform: Hardcover/Gebunden
Gewicht: 426 g
Sprache: Englisch

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

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.

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