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

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https://doi.org/10.1007/978-3-642-19533-4Invitation to Mathematics; high school, competitions, and research

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978-3-642-19532-7Springer-Verlag Berlin Heidelberg 2011

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https://doi.org/10.1007/978-3-540-85996-3re we describe a way of calculating the number of essentially different quadratic forms of any discriminant, the class number; this is a concept of great importance, which for example figured in early attempts to prove Fermat’s Last Theorem.

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Gradual Development of a Dynamic Modelre often given. What accounts for this? What is the role of graph theory in mathematics today? I will try to answer these questions by describing some of the many connections between graph theory and other areas of mathematics as I encountered them.

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https://doi.org/10.1007/978-3-540-85996-3es. For instance, while primes do obey some obvious patterns (e.g. they are almost all odd), and have a very regular asymptotic distribution (the prime number theorem), we still do not know a deterministic formula to quickly generate large numbers guaranteed to be prime, or to count even very simple

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