Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-t5tsf Total loading time: 0 Render date: 2024-10-31T23:52:00.448Z Has data issue: false hasContentIssue false
This chapter is part of a book that is no longer available to purchase from Cambridge Core

Translator's Preface

Abe Shenitzer
Affiliation:
York University, Toronto
Get access

Summary

The present volume is a translation of the first of the two chapters that make up Part III of Geometric Pansformations by I.M. Yaglom. Parts I and II are available in English as NML volumes 8 and 21. The second, not yet translated, chapter of Part III deals with inversions, that is, transformations of the plane that take circles (including lines which may be viewed as circles of infinite radius) into circles, but need not carry lines into lines; it also deals with transformations of the plane that take circles (including points which may be viewed as circles of zero radius) into circles, and lines into lines, but need not carry points into points. Like the first chapter, so too the second chapter concludes with a Supplement on hyperbolic geometry. For technical reasons, it was not possible to include both chapters of the Russian original Part III in a single NML volume; it is hoped that the remaining untranslated chapter will, a t some future time, be published in English as a separate volume.

This NML volume deals with affine and projective transformations of the plane. As in NML 8 and 21, the 112 problems interspersed throughout the text are an essential part also of this book; their detailed solutions are included.

The translator wishes to thank Professor Yaglom for his valuable assistance in preparing this American edition. He examined the draft of the translation, made several additions and corrections, and prepared a number of new problems for the translation, not present in the Russian version.

Type
Chapter
Information
Geometric Transformations III
Affine and Projective Transformations
, pp. viii
Publisher: Mathematical Association of America
Print publication year: 1973

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×