Geometric transformations I / I.M. Yaglom ; translated from the Russian by Allen Shields.

Format:

Book

Author/Creator:

I︠A︡glom, I. M. (Isaak Moiseevich), 1921-1988.

Contributor:

Shenitzer, Abe.

Series:

Anneli Lax new mathematical library ; v. 44.

Anneli Lax new mathematical library ; 44

Standardized Title:

Geometricheskie preobrazovanii︠a︡. v. 1. English

Language:

English

Subjects (All):

Inversions (Geometry).

Geometry, Modern.

Physical Description:

1 online resource (vii, 133 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Washington, D.C. : Mathematical Association of America, 1975.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Title from publisher's bibliographic system (viewed on 02 Oct 2015).

Description based on print version record.

ISBN:

0-88385-925-4

OCLC:

923220178