TY - BOOK ID - 36757795 TI - Real and Convex Analysis AU - Çınlar, Erhan. AU - Vanderbei, Robert J. PY - 2013 SN - 1461452562 1489998594 1461452570 9781461452560 PB - New York, NY : Springer US : Imprint: Springer, DB - UniCat KW - Mathematics. KW - Mathematical analysis. KW - Analysis (Mathematics). KW - Mathematical optimization. KW - Operations research. KW - Management science. KW - Applied mathematics. KW - Engineering mathematics. KW - Analysis. KW - Appl.Mathematics/Computational Methods of Engineering. KW - Operations Research, Management Science. KW - Optimization. KW - Global analysis (Mathematics). KW - Mathematical and Computational Engineering. KW - Analysis, Global (Mathematics) KW - Differential topology KW - Functions of complex variables KW - Geometry, Algebraic KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Optimization (Mathematics) KW - Optimization techniques KW - Optimization theory KW - Systems optimization KW - Maxima and minima KW - Operations research KW - Simulation methods KW - System analysis KW - Mathematics KW - Functions of real variables KW - Global analysis (Mathematics) KW - Real variables KW - Quantitative business analysis KW - Management KW - Problem solving KW - Statistical decision KW - Operational analysis KW - Operational research KW - Industrial engineering KW - Management science KW - Research KW - System theory KW - 517.1 Mathematical analysis UR - https://www.unicat.be/uniCat?func=search&query=sysid:36757795 AB - 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. ER -