The Cauchy-Schwarz Master Class

Michael Steele describes the fundamental topics in mathematical inequalities and their uses. Using the Cauchy-Schwarz inequality as a guide Steele presents a fascinating collection of problems related to inequalities and coaches readers through solutions in a style reminiscent of George Polya by teaching basic concepts and sharpening problem solving skills at the same time. Undergraduate and beginning graduate students in mathematics theoretical computer science statistics engineering and economics will find the book appropriate for self-study.