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What does the world look like from a mathematical perspective ? This is what Claude-Paul Bruter explains through the fundamental principles of the discipline, from the theorem of Thalès to differential forms. He explores the notions of vector and space curvature, the implicit function theorem, and the characteristic of Euler-Poincaré, the different geometries and topological surfaces. Written in part for students, this work is accessible to all those interested in mathematics. Claude-Paul Bruter is a professor at the University of Créteil
What should be the goals and the contents of the mathematics syllabus from primary school to university? What changes should be undertaken to accompany and prepare for future developments in science and technology? And how should the initial training, competitive recruitment and further education of maths teachers evolve and develop? This book is the fruit of several months work by a committee, presided by the mathematician Jean-Pierre Kahane, on the future of the teaching of mathematics.
From a mysterious source there appeared a first message that had just been received by the Alma Observatory in Chili, and was saved from oblivion by the main character in the book by a mathematician obsessed with a conjecture.