Algebraic inequalities: new vistas
This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[2016]
|
| Schriftenreihe: | MSRI mathematical circles library
volume 19 |
| Schlagworte: | |
| Zusammenfassung: | This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not "linear". The central topic of inequalities is linked to others in mathematics. Often these topics relate to much more than algebraic inequalities. There are also "secret" pathways through the book. Each chapter has a subtext, a theme which prepares the student for learning other mathematical topics, concepts, or habits of mind. For example, the early chapters on the arithmetic mean/geometric mean inequality show how very simple observations can be leveraged to yield useful and interesting results. Later chapters give examples of how one can generalize a mathematical statement. The chapter on the Cauchy-Schwarz inequality provides an introduction to vectors as mathematical objects. And there are many other secret pathways that the authors hope the reader will discover-and follow. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | x, 124 Seiten |
| ISBN: | 9781470434649 |
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| 500 | |a Description based on publisher supplied metadata and other sources | ||
| 520 | |a This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not "linear". The central topic of inequalities is linked to others in mathematics. Often these topics relate to much more than algebraic inequalities. There are also "secret" pathways through the book. Each chapter has a subtext, a theme which prepares the student for learning other mathematical topics, concepts, or habits of mind. For example, the early chapters on the arithmetic mean/geometric mean inequality show how very simple observations can be leveraged to yield useful and interesting results. Later chapters give examples of how one can generalize a mathematical statement. The chapter on the Cauchy-Schwarz inequality provides an introduction to vectors as mathematical objects. And there are many other secret pathways that the authors hope the reader will discover-and follow. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession | ||
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| 700 | 1 | |a Saul, Mark E. |d 1948- |0 (DE-588)142976504 |4 aut | |
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Datensatz im Suchindex
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| author_GND | (DE-588)12217805X (DE-588)142976504 |
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| author_role | aut aut |
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| building | Verbundindex |
| bvnumber | BV045402116 |
| ctrlnum | (OCoLC)974501734 (DE-599)BVBBV045402116 |
| dewey-full | 512.97 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.97 |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
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| isbn | 9781470434649 |
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| physical | x, 124 Seiten |
| publishDate | 2016 |
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| publisher | American Mathematical Society |
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| series2 | MSRI mathematical circles library |
| spelling | Andreescu, Titu 1956- (DE-588)12217805X aut Algebraic inequalities new vistas Titu Andreescu ; Mark Saul Providence, Rhode Island American Mathematical Society [2016] © 2016 x, 124 Seiten txt rdacontent n rdamedia nc rdacarrier MSRI mathematical circles library volume 19 Description based on publisher supplied metadata and other sources This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not "linear". The central topic of inequalities is linked to others in mathematics. Often these topics relate to much more than algebraic inequalities. There are also "secret" pathways through the book. Each chapter has a subtext, a theme which prepares the student for learning other mathematical topics, concepts, or habits of mind. For example, the early chapters on the arithmetic mean/geometric mean inequality show how very simple observations can be leveraged to yield useful and interesting results. Later chapters give examples of how one can generalize a mathematical statement. The chapter on the Cauchy-Schwarz inequality provides an introduction to vectors as mathematical objects. And there are many other secret pathways that the authors hope the reader will discover-and follow. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession Inequalities (Mathematics) Saul, Mark E. 1948- (DE-588)142976504 aut Erscheint auch als Online-Ausgabe 978-1-4704-3595-0 MSRI mathematical circles library volume 19 (DE-604)BV024626790 19 |
| spellingShingle | Andreescu, Titu 1956- Saul, Mark E. 1948- Algebraic inequalities new vistas MSRI mathematical circles library Inequalities (Mathematics) |
| title | Algebraic inequalities new vistas |
| title_auth | Algebraic inequalities new vistas |
| title_exact_search | Algebraic inequalities new vistas |
| title_full | Algebraic inequalities new vistas Titu Andreescu ; Mark Saul |
| title_fullStr | Algebraic inequalities new vistas Titu Andreescu ; Mark Saul |
| title_full_unstemmed | Algebraic inequalities new vistas Titu Andreescu ; Mark Saul |
| title_short | Algebraic inequalities |
| title_sort | algebraic inequalities new vistas |
| title_sub | new vistas |
| topic | Inequalities (Mathematics) |
| topic_facet | Inequalities (Mathematics) |
| volume_link | (DE-604)BV024626790 |
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