Geometric transformations [[electronic resource] ] . I / / I.M. Yaglom ; translated from the Russian by Allen Shields

• Autore: I͡Aglom I. M (Isaak Moiseevich), <1921-1988.>
• Pubblicazione: Washington, D.C., : Mathematical Association of America, 1975
• Descrizione fisica: 1 online resource (144 p.)
• Disciplina: 516.5
• Soggetto topico: Inversions (Geometry); Geometry, Modern
• Soggetto genere / forma: Electronic books.
• Altri autori: ShenitzerAbe
• Note generali: Description based upon print version of record.
• Nota di contenuto: ""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""
• Sommario/riassunto: 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.
• Titolo autorizzato: Geometric transformations
• ISBN: 0-88385-925-4
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910461925503321
• Lo trovi qui: Univ. Federico II
• Serie: Anneli Lax new mathematical library ; ; v. 44.