TY  - BOOK
AU  - Çınlar,Erhan
AU  - Vanderbei,Robert J.
ED  - SpringerLink (Online service)
TI  - Real and Convex Analysis
T2  - Undergraduate Texts in Mathematics,
SN  - 9781461452577
AV  - QA299.6-433 
U1  - 515 23
PY  - 2013///
CY  - Boston, MA
PB  - Springer US, Imprint: Springer
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
N1  - Sets and Functions -- Metric Spaces -- Functions on Metric Spaces -- Differential and Integral Equations -- Convexity.-Convex Optimization -- Measure and Integration -- Bibiography.-Index.-
N2  - 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
UR  - http://dx.doi.org/10.1007/978-1-4614-5257-7
ER  -