Erhan Çınlar & Robert J Vanderbei 
Real and Convex Analysis 

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.

Table of Content

Sets and Functions.- Metric Spaces.- Functions on Metric Spaces.- Differential and Integral Equations.- Convexity.-Convex Optimization.- Measure and Integration.- Bibiography.-Index.-

About the author

Erhan Cinlar, Professor and former Chair of Operations Research and Financial Engineering, Princeton University Robert J. Vanderbei, Professor and former Chair of Operations Research and Financial Engineering, Princeton University