Receive notice of every new vignette.
Search
Meta
Archives de catégorie : Mathematics Within the Last 100 Years
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 … Continuer la lecture
Publié dans Mathematics Within the Last 100 Years
4 commentaires
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 … Continuer la lecture
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 … Continuer la lecture
Publié dans Mathematics Within the Last 100 Years
Un commentaire
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, … Continuer la lecture
Publié dans Mathematics Within the Last 100 Years
2 commentaires
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 … Continuer la lecture
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 … Continuer la lecture
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 … Continuer la lecture
Publié dans Mathematics Within the Last 100 Years
5 commentaires