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Mathematics Everywhere
About this Title
Martin Aigner, Freie Universität Berlin, Berlin, Germany and Ehrhard Behrends, Freie Universität Berlin, Berlin, Germany, Editors. Translated by Philip G. Spain
Publication: Miscellaneous Books
Publication Year:
2010; Volume 72
ISBNs: 978-0-8218-4349-9 (print); 978-1-4704-1605-8 (online)
DOI: https://doi.org/10.1090/mbk/072
MathSciNet review: MR2742538
MSC: Primary 00B15; Secondary 00A05, 00A06, 00A08
ReadershipTable of Contents
Front/Back Matter
Part 1. Prologue
- Chapter 1. Math becomes a cult—description of a hope
Part 2. Case studies
- Chapter 2. The mathematics of the compact disc
- Chapter 3. Image processing and imaging for operation planning in liver surgery
- Chapter 4. The quickest path to the goal
- Chapter 5. Romeo and Juliet, spontaneous pattern formation, and Turing’s instability
- Chapter 6. Mathematics and intelligent materials
- Chapter 7. Discrete tomography: from battleship to nanotechnology
- Chapter 8. Reflections on reflections
Part 3. Current topics
- Chapter 9. The role of mathematics in the financial markets
- Chapter 10. Electronic money: an impossibility or already a reality?
- Chapter 11. Spheres in the computer—the Kepler conjecture
- Chapter 12. How do quanta compute? The new world of the quantum computer
- Chapter 13. Fermat’s Last Theorem—the solution of a 300 year old problem
- Chapter 14. A short history of the Nash equilibrium
- Chapter 15. Mathematics in the climate of global change
Part 4. The central theme
- Chapter 16. Prime numbers, secret codes and the boundaries of computability
- Chapter 17. The mathematics of knots
- Chapter 8. On soap bubbles
- Chapter 19. Heat diffusion, the structure of space and the Poincaré Conjecture
- Chapter 20. Chance and mathematics: a late love
Part 5. Epilogue