| 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 |
English |
|
Print version record |
| Subject |
Inequalities (Mathematics)
|
|
Processes, Infinite.
|
|
MATHEMATICS -- Algebra -- Elementary.
|
|
Processes, Infinite
|
|
Inequalities (Mathematics)
|
|
Ungleichung
|
| Form |
Electronic book
|
| ISBN |
9780511211348 |
|
0511211341 |
|
9780511207761 |
|
051120776X |
|
9780511213113 |
|
0511213115 |
|
9780511216718 |
|
0511216718 |
|
9780511817106 |
|
051181710X |
|
1316099326 |
|
9781316099322 |
|
1107150434 |
|
9781107150430 |
|
9786613329264 |
|
6613329266 |
|
1283329263 |
|
9781283329262 |
|
0511214928 |
|
9780511214929 |
|
0511567065 |
|
9780511567063 |
|
