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Images des Maths
July’s site of the month: Images des Maths This site is affiliated to the French National Center for Scientific Research. It contains reports about the latest events in mathematical research, and up-to-date articles that contain interesting discussions and applications of mathematics … Continue reading
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The Revenge of the Infinitesimals
Originating author is Michèle Artigue. Infinitesimals played an essential role in the emergence and development of differential and integral calculus. The evident productivity of this calculus did not prevent recurrent and fierce debates about the nature of these objects and … Continue reading
Elementary Mathematics from an Advanced Standpoint
From now on we will feature a different book every month that is likely to be of interest to secondary teachers wanting to know more about mathematics. We have made the decision to use this feature to bring older books … Continue reading
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Classifying objects
Originating author is Christiane Rousseau. Mathematics offers tools for classifying objects. But is that of any practical use? More than we can imagine at first sight… It could allow us to conclude that a knot cannot be unknotted without cutting … Continue reading
NRICH
Starting in January, we began a “Site of the Month” feature. February’s site of the month is dedicated to: NRICH. NRICH is a team of mathematics teachers, who aim to enrich the mathematical experience for all. They provide engaging activities … Continue reading
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The Hairy Ball Theorem
Originating author is João Pimentel Nunes The Hairy Ball Theorem is from topology, that part of mathematics that is concerned with the form of spaces. For the most part, this result came from work at the end of the 19th … Continue reading
Mathematics of Planet Earth
Each month, we will feature a site that we feel is relevant to aims of the Klein Project. The first site of the month is dedicated to: Mathematics of Planet Earth (MPE). MPE is an initiative of mathematical science organizations … Continue reading
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Calculators, Power Series and Chebyshev Polynomials
Originating author is Graeme Cohen. Of all the familiar functions, such as trigonometric, exponential and logarithmic functions, surely the simplest to evaluate are polynomial functions. The purposes of this article are, first, to introduce the concept of a power series, … Continue reading
Dimension
Von Christiane Rousseau Übersetzt aus dem Englischen von Eva Klein (Universität Würzburg) Wie misst man die Größe eines geometrischen Objekts? Für Teilmengen einer Ebene verwenden wir dazu oft Umfang, Länge, Flächeninhalt, Durchmesser, etc. Diese Maßbegriffe reichen jedoch nicht aus, um … Continue reading
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The shocking behaviour of moving fluids
Originating authors are David Mumford and Christiane Rousseau. Foreword: This vignette is more difficult than others. However, in a few pages, it tells you how to explain in simple terms one of the most difficult open problems at the beginning … Continue reading