Description: Synopsis This is an undergraduate textbook that reveals the intricacies of geometry. The approach used is that a geometry is a space together with a set of transformations of that space (as argued by Klein in his Erlangen programme). 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. Product Identifiers ISBN-10 0521597870 ISBN-13 9780521597876 Key Details Author David A. Brannan, Jeremy J. Gray, Matthew F. Esplen Number Of Pages 512 pages Format Paperback Publication Date 1999-04-13 Language English Publisher Cambridge University Press Publication Year 1999 Additional Details Copyright Date 1998 Illustrated Yes Dimensions Weight 32.2 Oz Height 1 In. Width 7.4 In. Length 9.7 In. Target Audience Group College Audience Classification Method LCCN 97-018015 LC Classification Number QA445 .B688 1999 Dewey Decimal 516 Dewey Edition 23 Table Of Content Preface; Introduction; 1. Conics; 2. Affine geometry; 3. Projective geometry: lines; 4. Projective geometry: conics; 5. Inversive geometry; 6. Non-Euclidean geometry; 7. Spherical geometry; 8. The Kleinian view of geometry; Appendices; Index. Reviews "...an excellent and precisely written textbook that should be studied in depth by all would-be mathematicians." Mathematical Reviews "There are many things to like about this book. It conveys the beauty and excitement of the subject, avoiding the dryness of many geometry texts. I was very pleased to see the classification of conics developed in Chapters 1 through 4...The effort put in on the problems and answers is very impressive...The language is clear, with little to fear from Anglicisms...presentation is clean and pleasing to the eye...it raised in me a desire to teach elementary geometry again, something I have not felt or done in years." MAA Online ' ... could form the basis of courses in geometry for mathematics undergraduates. It will also appeal to the general mathematical reader.' John Stone, Times Higher Education Supplement ' ... this is a remarkable and nicely written introduction to classical geometry.'Zentralblatt MATH ' ⊠could form the basis of courses in geometry for mathematics undergraduates. It will also appeal to the general mathematical reader.' John Stone, Times Higher Education Supplement ' ⊠this is a remarkable and nicely written introduction to classical geometry.' Zentralblatt MATH 'This is a textbook that demonstrates the excitement and beauty of geometry ... richly illstrated and clearly written.' Extrait de L'Enseignement Mathématique could form the basis of courses in geometry for mathematics undergraduates. It will also appeal to the general mathematical reader.John Stone, Times Higher Education Supplement this is a remarkable and nicely written introduction to classical geometry.Zentralblatt MATH This is a textbook that demonstrates the excitement and beauty of geometry richly illstrated and clearly written.Extrait de LEnseignement Mathématique
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Item Specifics
All returns accepted: ReturnsNotAccepted
Product Type: Textbook
Modified Item: No
Subject: Math
Country/Region of Manufacture: United States
Educational Level: College
Modification Description: like new
Item Length: 9.7in.
Item Height: 1in.
Item Width: 7.4in.
Format: Trade Paperback
Language: English
Publisher: Cambridge University Press
Publication Year: 1999
Item Weight: 32.2 Oz
Number of Pages: 512 Pages
