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
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245 1 3 |a An Invitation to Mathematics  |h [electronic resource] :  |b From Competitions to Research /  |c edited by Dierk Schleicher, Malte Lackmann. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2011. 
300 |a XIV, 220 p. 56 illus., 31 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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505 0 |a 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. 
520 |a 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 mathematics as a rich and lively field of research.   The contributions are written for interested students at the age of transition between high school and university who know high school mathematics and perhaps competition mathematics and who want to find out what current research mathematics is about. We hope that it will also be of interest to teachers or more advanced mathematicians who would like to learn about exciting aspects of mathematics outside of their own work or specialization.   Together with a team of young ``test readers'', editors and authors have taken great care, through a substantial ``active editing'' process, to make the contributions understandable by the intended readership. 
650 0 |a Mathematics. 
650 1 4 |a Mathematics. 
650 2 4 |a Mathematics, general. 
700 1 |a Schleicher, Dierk.  |e editor. 
700 1 |a Lackmann, Malte.  |e editor. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783642195327 
856 4 0 |u http://dx.doi.org/10.1007/978-3-642-19533-4  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)