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Real and Convex Analysis
Erhan ÇınlarRobert J Vanderbei
出版Springer Science & Business Media, 2013-01-04
主題Mathematics / Mathematical AnalysisTechnology & Engineering / Engineering (General)Business & Economics / Operations ResearchMathematics / AppliedMathematics / CalculusMathematics / Optimization
ISBN14614525709781461452577
URLhttp://books.google.com.hk/books?id=9WNDAAAAQBAJ&hl=&source=gbs_api
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註釋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.