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Librairie Eyrolles - Paris 5e
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Geometry

Geometry

Victor V. Prasolov, Vladimir M. Tikhomirov

256 pages, parution le 17/12/2001

Résumé

This book provides a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic geometries. Also included is a chapter on infinite-dimensional generalizations of Euclidean and affine geometries. A uniform approach to different geometries, based on Klein's Erlangen Program is suggested, and similarities of various phenomena in all geometries are traced. An important notion of duality of geometric objects is highlighted throughout the book. The authors also include a detailed presentation of the theory of conics and quadrics, including the theory of conics for non-Euclidean geometries. The book contains many beautiful geometric facts and has plenty of problems, most of them with solutions, which nicely supplement the main text.

With more than 150 figures illustrating the arguments, the book can be recommended as a textbook for undergraduate and graduate-level courses in geometry.

Contents

  • Introduction
  • The Euclidean world
  • The affine world
  • The projective world
  • Conics and quadrics
  • The world of non-Euclidean geometries
  • The infinite-dimensional world
  • Addendum
  • Solutions, hints, and answers
  • Bibliography
  • Author index
  • Subject index

L'auteur - Victor V. Prasolov

Autres livres de Victor V. Prasolov

L'auteur - Vladimir M. Tikhomirov

Vladimir Tikhomirov holds the Chair of Optimal Control in the Department of Mechanics and Mathematics at the Lomonosov Moscow State University.

Caractéristiques techniques

  PAPIER
Éditeur(s) American Mathematical Society (AMS)
Auteur(s) Victor V. Prasolov, Vladimir M. Tikhomirov
Parution 17/12/2001
Nb. de pages 256
Format 18 x 26
Couverture Relié
Poids 650g
Intérieur Noir et Blanc
EAN13 9780821820384

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