Real and convex analysis
著者
書誌事項
Real and convex analysis
（Undergraduate texts in mathematics）
Springer, 2013
- : pbk
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注記
Includes bibliographical references (p. 157) and index
"Softcover re-print of the Hardcover 1st edition 2013"--T.p. verso
内容説明・目次
内容説明
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.
目次
Sets and Functions.- Metric Spaces.- Functions on Metric Spaces.- Differential and Integral Equations.- Convexity.-Convex Optimization.- Measure and Integration.- Bibiography.-Index.-
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