Geometry

V. V. Prasolov, V. M. Tikhomirov

ISBN 10: 1470425432 ISBN 13: 9781470425432

Editorial: American Mathematical Society, US, 2015

Idioma: Ingl�s

Condici�n: Nuevo Encuadernaci�n de tapa blanda

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Descripci�n

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.

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Detalles bibliogr�ficos

T�tulo: Geometry
Editor: American Mathematical Society, US
Fecha de publicaci�n: 2015
Idioma: Ingl�s
ISBN 10: 1470425432
ISBN 13: 9781470425432
Encuadernaci�n: Paperback
Estado: New
Dimensiones: 32,8 cent�metros de ancho por 1,5 de alto por 18,3 de largo
Peso: 499 gramos

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Sinopsis

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.

Acerca del autor

V. V. Prasolov, Independent University of Moscow, Russia.

V. M. Tikhomirov, Moscow State University, Russia.

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