The Cauchy-Schwarz master class: an introduction to the art of mathematical inequalities
This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presen...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
[2004]
|
| Schriftenreihe: | MAA problem books series
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9780511817106 https://doi.org/10.1017/CBO9780511817106 https://doi.org/10.1017/CBO9780511817106 https://doi.org/10.1017/CBO9780511817106 |
| Zusammenfassung: | This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics |
| Umfang: | 1 online resource (x, 306 pages) Diagramme |
| ISBN: | 9780511817106 |
| DOI: | 10.1017/CBO9780511817106 |
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Datensatz im Suchindex
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| author | Steele, John Michael 1949- |
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| dewey-raw | 512.9/7 |
| dewey-search | 512.9/7 |
| dewey-sort | 3512.9 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511817106 |
| format | Electronic eBook |
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| isbn | 9780511817106 |
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| spelling | Steele, John Michael 1949- Verfasser (DE-588)122585534 aut The Cauchy-Schwarz master class an introduction to the art of mathematical inequalities J. Michael Steele Cambridge Cambridge University Press [2004] © 2004 1 online resource (x, 306 pages) Diagramme txt rdacontent c rdamedia cr rdacarrier MAA problem books series This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented as they might have been discovered - either by one of history's famous mathematicians or by the reader. The problems emphasize beauty and surprise, but along the way readers will find systematic coverage of the geometry of squares, convexity, the ladder of power means, majorization, Schur convexity, exponential sums, and the inequalities of Hölder, Hilbert, and Hardy. The text is accessible to anyone who knows calculus and who cares about solving problems. It is well suited to self-study, directed study, or as a supplement to courses in analysis, probability, and combinatorics Inequalities (Mathematics) Ungleichung (DE-588)4139098-2 gnd rswk-swf Ungleichung (DE-588)4139098-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-0-521-54677-5 Erscheint auch als Druck-Ausgabe, Hardcover 978-0-521-83775-0 https://doi.org/10.1017/CBO9780511817106 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Steele, John Michael 1949- The Cauchy-Schwarz master class an introduction to the art of mathematical inequalities Inequalities (Mathematics) Ungleichung (DE-588)4139098-2 gnd |
| subject_GND | (DE-588)4139098-2 |
| title | The Cauchy-Schwarz master class an introduction to the art of mathematical inequalities |
| title_auth | The Cauchy-Schwarz master class an introduction to the art of mathematical inequalities |
| title_exact_search | The Cauchy-Schwarz master class an introduction to the art of mathematical inequalities |
| title_full | The Cauchy-Schwarz master class an introduction to the art of mathematical inequalities J. Michael Steele |
| title_fullStr | The Cauchy-Schwarz master class an introduction to the art of mathematical inequalities J. Michael Steele |
| title_full_unstemmed | The Cauchy-Schwarz master class an introduction to the art of mathematical inequalities J. Michael Steele |
| title_short | The Cauchy-Schwarz master class |
| title_sort | the cauchy schwarz master class an introduction to the art of mathematical inequalities |
| title_sub | an introduction to the art of mathematical inequalities |
| topic | Inequalities (Mathematics) Ungleichung (DE-588)4139098-2 gnd |
| topic_facet | Inequalities (Mathematics) Ungleichung |
| url | https://doi.org/10.1017/CBO9780511817106 |
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