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Titlebook: An Invitation to Mathematics; From Competitions to Dierk Schleicher,Malte Lackmann Book 2011 Springer-Verlag Berlin Heidelberg 2011 Invitat

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Book 2011of 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.
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Structure and Randomness in the Prime Numbers, patterns in the primes, such as twin primes .,.+2. Nevertheless, it is still possible in some cases to understand enough of the structure and randomness of the primes to obtain some quite nontrivial results.
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Small Divisors: Number Theory in Dynamical Systems,erators and denominators. We discuss this in a mathematical model case that can be analyzed completely, the setting of iteration of quadratic polynomials .↦...+.., and show how this leads to questions of Diophantine approximation within number theory. Finally, we briefly mention the situation of more than two planets.
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Book 2011ects 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 univ
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https://doi.org/10.1007/978-3-662-25989-4closely related, and that work on the useful aspects requires deep knowledge of the ‘useless’ theory. This is an appeal against disintegrating mathematics (or science at large) into ‘useful’ and ‘useless’ parts.
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