Géométrie

by Michèle Audin

Ce livre est destiné aux étudiants de Licence ou Master de Mathématiques (L3-M1) et à ceux qui préparent le CAPES ou l'agrégation. Il traite de géométrie affine, euclidienne, projective, de coniques et quadriques, de géométrie différentielle des courbes et des surfaces. Il contient un exposé rigoureux, basé sur l'algèbre linéaire et, en même temps, de la " vraie " géométrie : des triangles, des sphères, des polyèdres, des angles inscrits, des inversions, des paraboles, des enveloppes... Ce livre est illustré de 195 figures et de 411 exercices avec indications de solution.

Genres: Mathematics

420 pages, Hardcover

First published September 19, 2002

About the author

Michèle Audin is a French mathematician, and a professor at l'Institut de recherche mathématique avancée (IRMA) in Strasbourg, where she does research notably in the area of symplectic geometry.

Born in 1954, she is a former student of l'École normale supérieure de jeunes filles within the École normale supérieure Sèvres. She became a member of l'Oulipo in 2009.

She is the daughter of mathematician Maurice Audin, who died under torture in 1957 in Algeria, after having been arrested by parachutists of General Jacques Massu. On January 1, 2009, she refused to receive the Legion of Honour, on the grounds that the President of France, Nicolas Sarkozy, had refused to respond to a letter written by her mother regarding the disappearance of her father.

(from Wikipedia)

Reviews

[Shaun Zhang · Rating 4 out of 5]

This is a rigorous introduction book for classical geometry. I prefer the method of linear algebra that author uses to introduce affine geometry and projective geometry. It is readily to find out the similarities between Euclidean, affine and projective geometry and finally realize the truth that projective geometry is the unified way to describe all of three geometries. This viewpoint is of great significance acquired by Felix Klein in his Erlangen programm. This book contains lots of figures illustrating the concepts and theorems, as well as rigorous mathematical proofs. In addition, the exercises after each chapter supplement and extend quite an amount of useful propositions helping better understanding.