An Invitation to Mathematics From Competitions to Research /

This Invitation to Mathematics consists of 14 contributions, many from the world's leading mathematicians, that introduce the readers to exciting aspects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathe...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Schleicher, Dierk (Επιμελητής έκδοσης), Lackmann, Malte (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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 Newton´s Method.