Pub. Date:
Springer Berlin Heidelberg
An Invitation to Mathematics: From Competitions to Research / Edition 1

An Invitation to Mathematics: From Competitions to Research / Edition 1

by Dierk Schleicher, Malte Lackmann


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Product Details

ISBN-13: 9783642195327
Publisher: Springer Berlin Heidelberg
Publication date: 05/25/2011
Edition description: 2011
Pages: 220
Product dimensions: 5.90(w) x 9.10(h) x 1.10(d)

About the Author

Prof. Dr. Dierk Schleicher, Jacobs University Bremen
Malte Lackmann, Jacobs University Bremen

Table of Contents

Preface: What is Mathematics?.- Welcome.- Structure and Randomness in the Prime Numbers.- How to Solve a Diophantine Equation.- From Sex to Quadratic Forms.- Small Divisors: Number Theory in Dynamical Systems.- How do IMO Problems Compare with Research Problems?.- How do Research Problems Compare with IMO Problems?.- Graph Theory Over 45 Years.- Communication Complexity.- Ten Digit Problems.- The Ever-Elusive Blowup in the Mathematical Description of Fluids.- About the Hardy Inequality.- The Lion and the Christian, and Other Pursuit and Evasion Games.- Three Mathematics Competitions.- Complex Dynamics, the Mandelbrot Set, and Newtońs Method.

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