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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: Math becomes a cult–description of a hope
Randow Case studies: The mathematics of the compact disc
Lint Image processing and imaging for operation planning in liver surgery
The quickest path to the goal
Romeo and Juliet, spontaneous pattern formation, and Turing's instability
Mathematics and intelligent materials
Discrete tomography: from battleship to nanotechnology
Reflections on reflections
Current topics: The role of mathematics in the financial markets
Electronic money: an impossibility or already a reality?
Spheres in the computer–the Kepler conjecture
How do quanta compute? The new world of the quantum computer
Fermat's Last Theorem–the solution of a 300-year-old problem
A short history of the Nash equilibrium
Mathematics in the climate of global change
The central theme: Prime numbers, secret codes and the boundaries of computability
The mathematics of knots
On soap bubbles
Heat diffusion, the structure of space and the Poincare Conjecture
Chance and mathematics: a late love
Epilogue: The prospects for mathematics in a multi-media civilization
Table of Contents provided by Publisher. All Rights Reserved.