Name: Geometry von David A. Brannan (The Open University, Milton Keynes)
SKU: 9781107647831
Availability: OutOfStock

Geometry Zusammenfassung

Geometry David A. Brannan (The Open University, Milton Keynes)

This richly illustrated and clearly written undergraduate textbook captures 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 the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and discuss the relationships between the geometries. New features in this second edition include concise end-of-chapter summaries to aid student revision, a list of further reading and a list of special symbols. The authors have also revised many of the end-of-chapter exercises to make them more challenging and to include some interesting new results. Full solutions to the 200 problems are included in the text, while complete solutions to all of the end-of-chapter exercises are available in a new Instructors' Manual, which can be downloaded from www.cambridge.org/9781107647831.

Geometry Bewertungen

'This is a textbook that demonstrates the excitement and beauty of geometry ... richly illustrated and clearly written.' L'Enseignement Mathematique
'... 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, The Times Higher Education Supplement
'It conveys the beauty and excitement of the subject, avoiding the dryness of many geometry texts.' J. I. Hall, Mathematical Association of America
'To my mind, this is the best introductory book ever written on introductory university geometry ... readers are introduced to the notions of Euclidean congruence, affine congruence, projective congruence and certain versions of non-Euclidean geometry (hyperbolic, spherical and inversive). Not only are students introduced to a wide range of algebraic methods, but they will encounter a most pleasing combination of process and product.' P. N. Ruane, MAA Focus
'... an excellent and precisely written textbook that should be studied in depth by all would-be mathematicians.' Hans Sachs, American Mathematical Society

Über David A. Brannan (The Open University, Milton Keynes)

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.

Inhaltsverzeichnis

Preface; Introduction: geometry and geometries; 1. Conics; 2. Affine geometry; 3. Projective geometry: lines; 4. Projective geometry: conics; 5. Inversive geometry; 6. Hyperbolic geometry: the disc model; 7. Elliptic geometry: the spherical model; 8. The Kleinian view of geometry; Special symbols; Further reading; Appendix 1. A primer of group theory; Appendix 2. A primer of vectors and vector spaces; Appendix 3. Solutions to the problems; Index.

Zusätzliche Informationen

Sku

CIN1107647835VG

ISBN 13

9781107647831

ISBN 10

1107647835

Titel

Geometry David A. Brannan (The Open University, Milton Keynes)

Autor

David A. Brannan (The Open University, Milton Keynes)

Zustand

Gebraucht - Sehr Gut

Bindung

Broschiert

Verlag

Cambridge University Press

Datum

2011-12-22

Anzahl der Seiten

602

Preise

N/A

Begleitschreiben

Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.

Hinweis

Dies ist ein gebrauchtes Buch. Es wurde schon einmal gelesen und weist von der früheren Nutzung Gebrauchsspuren auf. Wir gehen davon aus, dass es im Großen und Ganzen in einem sehr guten Zustand ist. Sollten Sie jedoch nicht vollständig zufrieden sein, setzen Sie sich bitte mit uns in Verbindung.