Mathematics everywhere
著者
書誌事項
Mathematics everywhere
American Mathematical Society, c2010
- タイトル別名
-
Alles mathematik
大学図書館所蔵 全10件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
Mathematics is all around us. Often we do not realize it, though. Mathematics Everywhere is a collection of presentations on the role of mathematics in everyday life, through science, technology, and culture. The common theme is the unique position of mathematics as the art of pure thought and at the same time as a universally applicable science. The authors are renowned mathematicians; their presentations cover a wide range of topics. From compact discs to the stock exchange, from computer tomography to traffic routing, from electronic money to climate change, they make the ""math inside"" understandable and enjoyable. An additional attractive feature is the leisurely treatment of some hot topics that have gained prominence in recent years, such as Fermat's Theorem, Kepler's packing problem, and the solution of the Poincare Conjecture. Or maybe you have heard about the Nash equilibrium (of ""A Beautiful Mind"" fame), or the strange future of quantum computers, and want to know what it is all about? Well, open the book and take an up-to-date trip into the fascinating world of the mathematics all around us. Table of Contents: Prologue: G. von Randow -- Math becomes a cult--description of a hope. Case studies: J. H. van Lint -- The mathematics of the compact disc; H.-O. Peitgen, C. Evertsz, B. Preim, D. Selle, T. Schindewolf, and W. Spindler -- Image processing and imaging for operation planning in liver surgery; R. Borndorfer, M. Grotschel, and A. Lobel -- The quickest path to the goal; B. Fiedler -- Romeo and Juliet, spontaneous pattern formation, and Turing's instability; S. Muller -- Mathematics and intelligent materials; P. Gritzmann -- Discrete tomography: from battleship to nanotechnology; J. Richter-Gebert -- Reflections on reflections. Current topics: W. Schachermayer -- The role of mathematics in the financial markets; A. Beutelspacher -- Electronic money: an impossibility or already a reality?; M. Henk and G. M. Ziegler -- Spheres in the computer--the Kepler conjecture; E. Behrends -- How do quanta compute? The new world of the quantum computer; J. Kramer -- Fermat's Last Theorem--the solution of a 300-year-old problem; K. Sigmund -- A short history of the Nash equilibrium; R. Klein -- Mathematics in the climate of global change. The central theme: M. Aigner -- Prime numbers, secret codes and the boundaries of computability; E. Vogt -- The mathematics of knots; D. Ferus -- On soap bubbles; K. Ecker -- Heat diffusion, the structure of space and the Poincare Conjecture; E. Behrends -- Chance and mathematics: a late love. Epilogue: P. J. Davis -- The prospects for mathematics in a multi-media civilization.
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