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

FLORA

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About the Hardy Inequality,The Hardy inequality has a long history and many variants. Together with the Sobolev inequalities, it is one of the most frequently used inequalities in analysis. In this note, we present some aspects of its history, as well as some of its extensions and applications. This is a very active research direction.

Indurate

adjacent

From Sex to Quadratic Forms,re 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.

Amorous

vitreous-humor

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.

palette

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.

AWL

How do Research Problems Compare with IMO Problems?,Are the problems one encounters at IMOs and the problems one encounters as a research mathematician alike? We will make use of a few examples to show their similarities as well as their differences. The problems chosen come from different areas, but are all related to arrangements of numbers or colors on graphs, and to games one can play with them.