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Real and Convex Analysis [electronic resource] / by Erhan Çınlar, Robert J. Vanderbei.

By: Çınlar, Erhan [author.].
Contributor(s): Vanderbei, Robert J [author.] | SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Undergraduate Texts in Mathematics: Publisher: Boston, MA : Springer US : Imprint: Springer, 2013Description: IX, 161 p. 23 illus., 2 illus. in color. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781461452577.Subject(s): Mathematics | Global analysis (Mathematics) | Mathematical optimization | Engineering mathematics | Mathematics | Analysis | Appl.Mathematics/Computational Methods of Engineering | Operations Research, Management Science | OptimizationDDC classification: 515 Online resources: Click here to access online
Contents:
Sets and Functions -- Metric Spaces -- Functions on Metric Spaces -- Differential and Integral Equations -- Convexity.-Convex Optimization -- Measure and Integration -- Bibiography.-Index.-.
In: Springer eBooksSummary: 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.
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Sets and Functions -- Metric Spaces -- Functions on Metric Spaces -- Differential and Integral Equations -- Convexity.-Convex Optimization -- Measure and Integration -- Bibiography.-Index.-.

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.

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