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

Injunction

忘川河

Structure and Randomness in the Prime Numbers,es. 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

Encephalitis

maverick

Altitude

How do IMO Problems Compare with Research Problems?,ween their two activities. This is partly because most research problems involve university-level mathematical concepts that are excluded from IMO problems. However, there are more fundamental differences that are not to do with subject matter. To demonstrate this, we look at some results and questi

遗忘

Graph Theory Over 45 Years,re 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.

AVERT

光明正大

Ten Digit Problems,d degree of precision like ten digits or ten thousand. In this article three difficult problems of this kind are presented, and the story is told of the SIAM 100-Dollar, 100-Digit Challenge. The twists and turns along the way illustrate some of the flavor of algorithmic continuous mathematics.

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Three Mathematics Competitions,ey compete in many different ways, in very different races, and in diverse arenas. In this little contribution, I want to tell you about three different types of mathematics competitions that are different from the IMO.

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