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Cover: 9780198534518 | Groups and Geometry | Peter M. Neumann (u. a.) | Taschenbuch | 1994
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Groups and Geometry
Taschenbuch von Peter M. Neumann (u. a.)
Sprache: Englisch

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Beschreibung
This volume presents the Oxford Mathematical Institute notes for the enormously successful advanced undergraduate and first-year graduate student course on groups and geometry. The book's content closely follows the Oxford syllabus but covers a great deal more material than did the course itself. The book is divided into two parts: the first covers the fundamentals of groups, and the second covers geometry and its symbiotic relationship with groups. Both parts contain a number of useful examples and exercises. This book will be welcomed by student and teacher alike as a lucidly written text on an important topic.
This volume presents the Oxford Mathematical Institute notes for the enormously successful advanced undergraduate and first-year graduate student course on groups and geometry. The book's content closely follows the Oxford syllabus but covers a great deal more material than did the course itself. The book is divided into two parts: the first covers the fundamentals of groups, and the second covers geometry and its symbiotic relationship with groups. Both parts contain a number of useful examples and exercises. This book will be welcomed by student and teacher alike as a lucidly written text on an important topic.
Inhaltsverzeichnis
  • 1: A survey of some group theory

  • 2: A menagerie of groups

  • 3: Actions of groups

  • 4: A garden of G-spaces

  • 5: Transitivity and orbits

  • 6: The classification of transitive G-spaces

  • 7: G-morphisms

  • 8: Group actions in group theory

  • 9: Actions count

  • 10: Geometry: an introduction

  • 11: The axiomatisation of geometry

  • 12: Affine geometry

  • 13: Projective geometry

  • 14: Euclidean geometry

  • 15: Finite groups of isometries

  • 16: Complex numbers and quaternions

  • 17: Inversive geometry

  • 18: Topological considerations

  • 19: The groups theory of Rubik's magic cube

  • Index

Details
Erscheinungsjahr: 1994
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 268
ISBN-13: 9780198534518
ISBN-10: 0198534515
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Neumann, Peter M.
Stoy, Gabrielle A.
Thompson, Edward C.
Hersteller: OUP Oxford
Maße: 234 x 156 x 15 mm
Von/Mit: Peter M. Neumann (u. a.)
Erscheinungsdatum: 01.02.1994
Gewicht: 0,412 kg
preigu-id: 108640345
Inhaltsverzeichnis
  • 1: A survey of some group theory

  • 2: A menagerie of groups

  • 3: Actions of groups

  • 4: A garden of G-spaces

  • 5: Transitivity and orbits

  • 6: The classification of transitive G-spaces

  • 7: G-morphisms

  • 8: Group actions in group theory

  • 9: Actions count

  • 10: Geometry: an introduction

  • 11: The axiomatisation of geometry

  • 12: Affine geometry

  • 13: Projective geometry

  • 14: Euclidean geometry

  • 15: Finite groups of isometries

  • 16: Complex numbers and quaternions

  • 17: Inversive geometry

  • 18: Topological considerations

  • 19: The groups theory of Rubik's magic cube

  • Index

Details
Erscheinungsjahr: 1994
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 268
ISBN-13: 9780198534518
ISBN-10: 0198534515
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Neumann, Peter M.
Stoy, Gabrielle A.
Thompson, Edward C.
Hersteller: OUP Oxford
Maße: 234 x 156 x 15 mm
Von/Mit: Peter M. Neumann (u. a.)
Erscheinungsdatum: 01.02.1994
Gewicht: 0,412 kg
preigu-id: 108640345
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