Convex Sets and Their Applications

Lay, Steven R.

ISBN 10: 0486458032 / ISBN 13: 9780486458038

Published by Dover, Mineola NY, 2007

About this Item

unabridged republication of the John Wiley & Sons 1982 edition. 256 pages. "It leads students to open questions and unsolved problems, and it highlights diverse applications." ; 5 3/8 x 8 1/2 ".

Seller Inventory # 51966

Bibliographic Details

• Title: Convex Sets and Their Applications
• Publisher: Dover, Mineola NY
• Publication Date: 2007
• Language: English
• ISBN 10: 0486458032
• ISBN 13: 9780486458038
• Binding: Paperback
• Edition: Reprint.
• Condition: As New

About this title

Synopsis

Suitable for advanced undergraduates and graduate students, this text introduces the broad scope of convexity. It leads students to open questions and unsolved problems, and it highlights diverse applications. Author Steven R. Lay, Professor of Mathematics at Lee University in Tennessee, reinforces his teachings with numerous examples, plus exercises with hints and answers.
The first three chapters form the foundation for all that follows, starting with a review of the fundamentals of linear algebra and topology. They also survey the development and applications of relationships between hyperplanes and convex sets. Subsequent chapters are relatively self-contained, each focusing on a particular aspect or application of convex sets. Topics include characterizations of convex sets, polytopes, duality, optimization, and convex functions. Hints, solutions, and references for the exercises appear at the back of the book.