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Geometric Transformations I : Isometries /

Almost everyone is acquainted with plane Euclidean geometry as it is usually taught in high school. This book introduces the reader to a completely different way of looking at familiar geometrical facts. It is concerned with transformations of the plane that do not alter the shapes and sized of geom...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Yaglom, I. M., Shields, Allen
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2011.
Colección:Anneli Lax new mathematical library.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Geometric Transformations I :  |b Isometries /  |c I.M. Yaglom, Translated by Allen Shields. 
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505 0 |a Front Cover -- Geometric Transformations I -- Copyright Page -- CONTENTS -- Translatorâ€?s Preface -- From the Authorâ€?s Preface -- Introduction. What is Geometry? -- Chapter I. Displacements -- 1. Translations -- 2. Half Turn and Rotation -- Chapter II. Symmetry -- 1. Reflection and Glide Reflection -- 2. Directly Congruent and Oppositely Congruent Figures. Classification of Isometries of the Plane -- Solutions -- Chapter One. Displacements -- Chapter Two. Symmetry 
520 |a Almost everyone is acquainted with plane Euclidean geometry as it is usually taught in high school. This book introduces the reader to a completely different way of looking at familiar geometrical facts. It is concerned with transformations of the plane that do not alter the shapes and sized of geometric figures. Such transformations (called isometries) play a fundamental role in the group-theoretic approach to geometry. The treatment is direct and simple, The reader is introduced to new ideas and then is urged to solve problems using these ideas. The problems form an essential part of this book and the solutions are given in detail in the second half of the book. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Inversions (Geometry) 
650 0 |a Geometry, Modern. 
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650 6 |a Géométrie moderne. 
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650 7 |a Inversions (Geometry)  |2 fast 
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700 1 |a Shields, Allen. 
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830 0 |a Anneli Lax new mathematical library. 
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