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An invitation to mathematics : from competitions to research / Dierk Schleicher, Malte Lackmann, editors

データ種別 電子書籍
出版者 Heidelberg [Germany] ; New York : Springer
出版年 c2011

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URL オンライン

EB2115328


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書誌ID OB01025696
本文言語 英語
一般注記 Includes bibliographical references
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.
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Summary: "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
著者標目 Schleicher, Dierk 1965-
Lackmann, Malte
件 名 LCSH:Mathematics
分 類 LCC:QA36
巻冊次 pbk. : acid-free paper ; ISBN:9783642195327 RefWorks出力(各巻)
pbk. : acid-free paper ; ISBN:3642195326 RefWorks出力(各巻)
資料種別 機械可読データファイル
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