Real and Convex Analysis

The first undergraduate text to provide an accessible introduction to real and convex analysis, this book by renowned Princeton University academics covers all the fundamentals as well as the tools of analysis, and features lots of illustrations and exercises.

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.

First undergraduate text that provides accessible introduction to real and convex analysis Top authors from Princeton University (both published previously successful books) Lots of examples and exercises?

Auteur
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

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