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Record Nr. |
UNINA9910954621203321 |
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Autore |
I︠A︡glom I. M (Isaak Moiseevich), <1921-1988.> |
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Titolo |
Geometric transformations . I / / I.M. Yaglom ; translated from the Russian by Allen Shields |
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Pubbl/distr/stampa |
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Washington, D.C., : Mathematical Association of America, 1975 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (vii, 133 pages) : digital, PDF file(s) |
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Collana |
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Anneli Lax new mathematical library ; ; 44 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Inversions (Geometry) |
Geometry, Modern |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 02 Oct 2015). |
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Nota di contenuto |
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Front Cover -- Geometric Transformations I -- Copyright Page -- CONTENTS -- Translator's Preface -- From the Author'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. |
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Sommario/riassunto |
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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. |
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