Real and Convex Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Real and Convex Analysis by Robert J Vanderbei, Erhan Çınlar, Springer US
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Author: Robert J Vanderbei, Erhan Çınlar ISBN: 9781461452577
Publisher: Springer US Publication: January 4, 2013
Imprint: Springer Language: English
Author: Robert J Vanderbei, Erhan Çınlar
ISBN: 9781461452577
Publisher: Springer US
Publication: January 4, 2013
Imprint: Springer
Language: English

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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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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