Category Archives: Mathematics Within the Last 100 Years

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

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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

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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

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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

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Public-key cryptography

Originating authors are Graeme L. Cohen (University of Technology, Sydney), Steven Galbraith (University of Auckland) and Edoardo Persichetti (University of Auckland). How can we safely send our credit card details over the internet, or using a mobile phone, when others … Continue reading

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A tale of two triangles: Heron triangles and elliptic curves

Originating author is William Mc Callum. If two triangles have the same area and the same perimeter, are they necessarily congruent? It turns out that the answer is no. For example, the triangle with sides and has the same area … Continue reading

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