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Inversions. Popular Lectures in Mathematics [microform] / I. Ya Bakel'man
Bib ID 5380324
Format BookBook, MicroformMicroform, OnlineOnline
Author
Bakel'man, I. Ya
 
Online Versions
Description [Washington, D.C.] : Distributed by ERIC Clearinghouse, 1974 
78 p. 
Summary

Inversions are transformations of geometric figures, under which straight lines may be mapped to circles, and conversely. The use of such mapping allows development of a unified method of solution for many of the problems of elementary geometry, especially those concerning constructions and "pencils" of curves. This book discusses the inversion transformations and their applications. In the first chapter, inversion transformations and their applications to questions in elementary geometry are studied. In the second chapter, transformations are expressed as linear and linear-fractional functions of a complex variable. In the third chapter, the foundations of geometry are presented from the standpoint of group theory. (Author/MK)

Notes

Availability: The University of Chicago Press, Chicago, IL 60637 (Order No. 034992; $4.50).

Sponsoring Agency: National Science Foundation, Washington, DC.

Contract Number: NSF-G-8847(MA).

ERIC Note: For related documents, see SE 030 460-465. Not available in hard copy due to copyright restrictions. Translated and adapted from the Russian edition.

Educational level discussed: Higher Education.

May also be available online. Address as at 14/8/18: https://eric.ed.gov/

Reproduction Microfiche. [Washington D.C.]: ERIC Clearinghouse microfiches : positive. 
Subjects Algebra.  |  College Mathematics.  |  Geometric Concepts.  |  Geometry.  |  Higher Education.  |  Mathematics.  |  Mathematics Curriculum.  |  Mathematics Education.  |  Mathematics Instruction.  |  Transformations (Mathematics)
Form/genre Translations.
Other authors/contributors Chicago Univ., IL. Dept. of Mathematics
Available From ERIC 

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