2011

An Invitation to Mathematics

From Competitions to Research

Editors:

ISBN: 978-3-642-19532-7 (Print) 978-3-642-19533-4 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages I-XIV

  2. No Access

    Book Chapter

    Pages 1-7

    Structure and Randomness in the Prime Numbers

  3. No Access

    Book Chapter

    Pages 9-19

    How to Solve a Diophantine Equation

  4. No Access

    Book Chapter

    Pages 21-41

    From Sex to Quadratic Forms

  5. No Access

    Book Chapter

    Pages 43-54

    Small Divisors: Number Theory in Dynamical Systems

  6. No Access

    Book Chapter

    Pages 55-69

    How do IMO Problems Compare with Research Problems?

  7. No Access

    Book Chapter

    Pages 71-83

    How do Research Problems Compare with IMO Problems?

  8. No Access

    Book Chapter

    Pages 85-95

    Graph Theory Over 45 Years

  9. No Access

    Book Chapter

    Pages 97-117

    Communication Complexity

  10. No Access

    Book Chapter

    Pages 119-136

    Ten Digit Problems

  11. No Access

    Book Chapter

    Pages 137-164

    The Ever-Elusive Blowup in the Mathematical Description of Fluids

  12. No Access

    Book Chapter

    Pages 165-180

    About the Hardy Inequality

  13. No Access

    Book Chapter

    Pages 181-193

    The Lion and the Christian, and Other Pursuit and Evasion Games

  14. No Access

    Book Chapter

    Pages 195-205

    Three Mathematics Competitions

  15. No Access

    Book Chapter

    Pages 207-220

    Complex Dynamics, the Mandelbrot Set, and Newton’s Method — or: On Useless and Useful Mathematics