Brossura

ISBN 10: 0521597870 ISBN 13: 9780521597876

Casa editrice: Cambridge University Press, 1999

This textbook demonstrates the excitement and beauty of geometry. The approach is that of Klein in his Erlangen program: a geometry is a space together with a set of transformations of that space. The authors explore various geometries: affine, projective, inversive, non-Euclidean and spherical. In each case they carefully explain key results and discuss the relationship among geometries. This richly illustrated and clearly written text includes full solutions to over 200 problems and is suitable both for undergraduate courses on geometry and as a resource for self study.

Book Description:

This textbook demonstrates the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of that space. The authors explore various geometries: affine, projective, inversive, non-Euclidean and spherical. In each case the key results are explained carefully, and the relationships between the geometries are discussed. This richly illustrated and clearly written text includes full solutions to over 200 problems, and is suitable both for undergraduate courses on geometry and as a resource for self study.

About the Author:

David A. Brannan is Emeritus Professor in the Department of Mathematics and Computing at The Open University, Milton Keynes.

Matthew F. Esplen is a Lecturer in the Department of Mathematics and Statistics at The Open University, Milton Keynes.

Jeremy J. Gray is a Professor of the History of Mathematics at The Open University, Milton Keynes and Honorary Professor at the University of Warwick.