Geometry and Topology by Miles Reid
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Geometry and Topology
By Miles Reid

Geometry and Topology

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Format: Paperback

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Geometry and Topology by Miles Reid

Book Description

Geometry provides a whole range of views on the universe, serving as the inspiration, technical toolkit and ultimate goal for many branches of mathematics and physics. This book introduces the ideas of geometry, and includes a generous supply of simple explanations and examples. The treatment emphasises coordinate systems and the coordinate changes that generate symmetries. The discussion moves from Euclidean to non-Euclidean geometries, including spherical and hyperbolic geometry, and then on to affine and projective linear geometries. Group theory is introduced to treat geometric symmetries, leading to the unification of geometry and group theory in the Erlangen program. An introduction to basic topology follows, with the Mobius strip, the Klein bottle and the surface with g handles exemplifying quotient topologies and the homeomorphism problem. Topology combines with group theory to yield the geometry of transformation groups,having applications to relativity theory and quantum mechanics. A final chapter features historical discussions and indications for further reading. With minimal prerequisites, the book provides a first glimpse of many research topics in modern algebra, geometry and theoretical physics. The book is based on many years' teaching experience, and is thoroughly class-tested. There are copious illustrations, and each chapter ends with a wide supply of exercises. Further teaching material is available for teachers via the web, including assignable problem sheets with solutions.

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Book Details

ISBN: 9780521613255
ISBN-10: 0521613256
Format: Paperback
(247mm x 174mm x 12mm)
Pages: 216
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 10-Nov-2005
Country of Publication: United Kingdom

Other Editions...


Books By Author Miles Reid

Number Theory and Algebraic Geometry by Miles Reid Number Theory and Algebraic Geometry, Paperback (January 2004)

This volume honors Sir Peter Swinnerton-Dyer's mathematical career spanning more than 60 years' of amazing creativity in number theory and algebraic geometry.

Explicit Birational Geometry of 3-folds by Miles Reid Explicit Birational Geometry of 3-folds, Paperback (July 2000)

This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.

Undergraduate Commutative Algebra by Miles Reid Undergraduate Commutative Algebra, Paperback (November 1995)

For those looking for an introduction to the area of commutative algebra, this book opens all the right doors and provides a clarity of understanding that all will welcome.

Commutative Ring Theory by Miles Reid Commutative Ring Theory, Paperback (May 1989)

This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.

» View all books by Miles Reid

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Author Biography - Miles Reid

Miles Reid is a Professor of Mathematics at the Mathematics Institute, University of Warwick. Bal...zs Szendroi is a Tutor and Martin Powell Fellow in Pure Mathematics at St Peter's College, and a Faculty Lecturer in the Mathematical Institute, University of Oxford.

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Recent books by Miles Reid close
Number Theory and Algebraic Geometry by Miles Reid
Explicit Birational Geometry of 3-folds by Miles Reid
Undergraduate Commutative Algebra by Miles Reid
Undergraduate Commutative Algebra by Miles Reid
Commutative Ring Theory by Miles Reid
Undergraduate Algebraic Geometry by Miles Reid
»
Recent books by Balazs Szendroi close
Geometry and Topology by Balazs Szendroi
»
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