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The Cauchy-Schwarz master class : an introduction to the art of mathematical inequalities /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
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| Colección: | MAA problem books series.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Steele, J. Michael, |e author. | |
| 245 | 1 | 4 | |a The Cauchy-Schwarz master class : |b an introduction to the art of mathematical inequalities / |c J. Michael Steele, University of Pennsylvania. |
| 264 | 1 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2004. | |
| 264 | 4 | |c ©2004 | |
| 300 | |a 1 online resource (x, 306 pages) : |b illustrations | ||
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| 490 | 1 | |a MAA problem books series | |
| 520 | |a 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. | ||
| 504 | |a Includes bibliographical references (pages 292-301) and index. | ||
| 505 | 0 | |a 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. | |
| 588 | 0 | |a Print version record. | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Inequalities (Mathematics) | |
| 650 | 0 | |a Processes, Infinite. | |
| 650 | 6 | |a Inégalités (Mathématiques) | |
| 650 | 6 | |a Processus infinis. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Elementary. |2 bisacsh | |
| 650 | 7 | |a Processes, Infinite |2 fast | |
| 650 | 7 | |a Inequalities (Mathematics) |2 fast | |
| 650 | 7 | |a Ungleichung |2 gnd | |
| 776 | 0 | 8 | |i Print version: |a Steele, J. Michael. |t Cauchy-Schwarz master class. |d Cambridge ; New York : Cambridge University Press, 2004 |z 0521837758 |w (DLC) 2004040402 |w (OCoLC)54079548 |
| 830 | 0 | |a MAA problem books series. | |
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