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Author Steele, J. Michael, author

Title The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities / J. Michael Steele, University of Pennsylvania

Published Cambridge, UK ; New York : Cambridge University Press, 2004
Online access available from:
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Description 1 online resource (x, 306 pages) : illustrations
Series MAA problem books series
MAA problem books series
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. Holder's inequality -- 10. Hilbert's inequality -- 11. Hardy's inequality -- 12. Symmetric sums -- 13. Majorization and Schur convexity -- 14. Cancellation and aggregation -- Solutions to the exercises -- Chapter notes -- References -- Index
Summary Using the Cauchy-Schwarz inequality as the initial guide, this text explains the concepts of mathematical inequalities by presenting a sequence of problems as they might have been discovered, the solutions to which can either be found with one of history's great mathematicians or by the reader themselves
Bibliography Includes bibliographical references (pages 292-301) and index
Notes Print version record
Subject Inequalities (Mathematics)
Processes, Infinite
Genre/Form Electronic book
Form Electronic book
ISBN 051120776X (electronic bk. ; Adobe Reader)
0511211341 (electronic bk.)
0511213115 (electronic bk. ; Adobe Reader)
0511216718 (electronic bk.)
051181710X (electronic bk.)
9780511207761 (electronic bk. ; Adobe Reader)
9780511211348 (electronic bk.)
9780511213113 (electronic bk. ; Adobe Reader)
9780511216718 (electronic bk.)
9780511817106 (electronic bk.)