# The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities

Material type: TextPublication details: Cambridge Cambridge University Press 2004Description: x, 306 ppISBN: 9780521546775Subject(s): Inequalities (Mathematics)LOC classification: QA295Item type | Current library | Collection | Shelving location | Call number | Copy number | Status | Barcode | Date due |
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Book | International Centre for Theoretical Sciences | Mathematics | Rack No 5 | QA295 (Browse shelf(Opens below)) | 1 | Available | 02573 |

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

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

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