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

By: Material type: TextTextSeries: MAA problem books seriesPublisher: Cambridge, UK ; New York : Cambridge University Press, 2004Copyright date: ©2004Description: 1 online resource (x, 306 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511211348
  • 0511211341
  • 9780511207761
  • 051120776X
  • 9780511213113
  • 0511213115
  • 9780511216718
  • 0511216718
  • 9780511817106
  • 051181710X
Subject(s): Genre/Form: Additional physical formats: Print version:: Cauchy-Schwarz master class.DDC classification:
  • 512.9/7 22
LOC classification:
  • QA295 .S78 2004eb
Other classification:
  • SK 490
Online resources:
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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

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.

Includes bibliographical references (pages 292-301) and index.

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.

Description based on print version record.

Master record variable field(s) change: 082

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