An invitation to mathematics from competitions to research
Preface : what is mathematics?Welcome! -- Structure and randomness in the prime numbers / Terence Tao -- How to solve a Diophantine equation / Michael Stoll -- From sex to quadratic forms / Simon Norton -- Small divisors : number theory in dynamical systems / Jean-Christophe Yoccoz -- How do IMO pro...
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| Weitere Verfasser: | , |
| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
Berlin, Heidelberg u.a.
Springer
2011
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| Schlagworte: | |
| Online Zugang: | Autorenbiografie Verlagsangaben Inhaltsverzeichnis Einführung/Vorwort Inhaltstext |
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Tag hinzufügen | Zusammenfassung: | Preface : what is mathematics?Welcome! -- Structure and randomness in the prime numbers / Terence Tao -- How to solve a Diophantine equation / Michael Stoll -- From sex to quadratic forms / Simon Norton -- Small divisors : number theory in dynamical systems / Jean-Christophe Yoccoz -- How do IMO problems compare with research problems? Ramsey theory as a case study / W. Timothy Gowers -- How do research problems compare with IMO problems? A walk around games / Stanislav Smirnov -- Graph theory over 45 years / László Lovász -- Communication complexity / Alexander A. Razborov -- Ten digit problems / Lloyd N. Trefethen -- The ever-elusive blowup in the mathematical description of fluids / Robert M. Kerr and Marcel Oliver -- About the Hardy inequality / Nader Masmoudi -- The lion and the Christian, and other pursuit and evasion games / Béla Bollobás -- Three mathematics competitions / Günter M. Ziegler -- Complex dynamics, the Mandelbrot set, and Newton's method : or, On useless and useful mathematics / Dierk Schleicher. Preface : what is mathematics? -- Welcome! -- Structure and randomness in the prime numbers / Terence Tao -- How to solve a Diophantine equation / Michael Stoll -- From sex to quadratic forms / Simon Norton -- Small divisors : number theory in dynamical systems / Jean-Christophe Yoccoz -- How do IMO problems compare with research problems? Ramsey theory as a case study / W. Timothy Gowers -- How do research problems compare with IMO problems? A walk around games / Stanislav Smirnov -- Graph theory over 45 years / László Lovász -- Communication complexity / Alexander A. Razborov -- Ten digit problems / Lloyd N. Trefethen -- The ever-elusive blowup in the mathematical description of fluids / Robert M. Kerr and Marcel Oliver -- About the Hardy inequality / Nader Masmoudi -- The lion and the Christian, and other pursuit and evasion games / Béla Bollobás -- Three mathematics competitions / Günter M. Ziegler -- Complex dynamics, the Mandelbrot set, and Newton's method : or, On useless and useful mathematics / Dierk Schleicher. "This Invitation to mathematics consists of 14 contributions, many by the world's leading mathematicians, which introduce the readers to exciting aspects of current mathematical research. They are written for interested students who know high school mathematics and perhaps competition mathematics and who want to find out what research mathematics is about -- as well as for teachers, advanced students and professional mathematicians who would like to learn about exciting aspects of mathematics outside of their own work or specialization."--Back cover "This Invitation to mathematics consists of 14 contributions, many by the world's leading mathematicians, which introduce the readers to exciting aspects of current mathematical research. They are written for interested students who know high school mathematics and perhaps competition mathematics and who want to find out what research mathematics is about -- as well as for teachers, advanced students and professional mathematicians who would like to learn about exciting aspects of mathematics outside of their own work or specialization."--Back cover |
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| Beschreibung: | Literaturangaben |
| Beschreibung: | XIV, 220 S. Ill., graph. Darst. 23 cm |
| ISBN: | 3642195326 3-642-19532-6 9783642195327 978-3-642-19532-7 |