The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities

The Cauchy-Schwarz Master Class: An Introduction to the Art of Mathematical Inequalities

by J. Michael Steele
     
 

This 2004 book presents a fascinating collection of problems related to the Cauchy-Schwarz inequality and coaches readers through solutions.See more details below

Overview

This 2004 book presents a fascinating collection of problems related to the Cauchy-Schwarz inequality and coaches readers through solutions.

Product Details

ISBN-13:
9780521837750
Publisher:
Cambridge University Press
Publication date:
04/28/2004
Series:
MAA Problem Books Series
Pages:
306
Product dimensions:
5.98(w) x 8.98(h) x 0.75(d)

Related Subjects

Table of Contents

1. Starting with Cauchy; 2. The AM-GM inequality; 3. Lagrange's identity and Minkowski's conjecture; 4. On geometry and sums of squares; 5. Consequences of order; 6. Convexity - the third pillar; 7. Integral intermezzo; 8. The ladder of power means; 9. Hölder's inequality; 10. Hilbert's inequality and compensating difficulties; 11. Hardy's inequality and the flop; 12. Symmetric sums; 13. Majorization and Schur convexity; 14. Cancellation and aggregation; Solutions to the exercises; Notes; References.

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