Real and Convex Analysis
Çınlar, Erhan.
creator
author.
Vanderbei, Robert J.
author.
SpringerLink (Online service)
text
xxu
2013
monographic
eng
access
IX, 161 p. online resource.
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.
Sets and Functions -- Metric Spaces -- Functions on Metric Spaces -- Differential and Integral Equations -- Convexity.-Convex Optimization -- Measure and Integration -- Bibiography.-Index.-.
by Erhan Çınlar, Robert J. Vanderbei.
Mathematics
Mathematical analysis
Analysis (Mathematics)
Mathematical optimization
Operations research
Management science
Applied mathematics
Engineering mathematics
Mathematics
Analysis
Appl.Mathematics/Computational Methods of Engineering
Operations Research, Management Science
Optimization
QA299.6-433
515
Springer eBooks
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