02560cam a22004332u 4500001000800000005001700008007001400025008004100039035001200080037001900092040002700111091000800138100002200146245008100168260006800249300001000317500010300327500007500430500004400505500017200549500005100721520074200772530007901514533008101593650002001674650003201694650003101726650002101757650002901778650002401807650003501831650003401866650003601900650004101936655002501977710004502002856003702047984004202084538032420181019152306.0he u||024||||080220s1974 xxu ||| b ||| | eng d a5380324 aED184844bERIC aericdbengcericddMvI amfm1 aBakel'man, I. Ya.10aInversions. Popular Lectures in Mathematicsh[microform] /cI. Ya Bakel'man. a[Washington, D.C.] :bDistributed by ERIC Clearinghouse,c1974. a78 p. aAvailability: The University of Chicago Press, Chicago, IL 60637 (Order No. 034992; $4.50).5ericd aSponsoring Agency: National Science Foundation, Washington, DC.5ericd aContract Number: NSF-G-8847(MA).5ericd aERIC 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.5ericd aEducational level discussed: Higher Education. aInversions 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) aMay also be available online. Address as at 14/8/18:uhttps://eric.ed.gov/ aMicrofiche.b[Washington D.C.]:cERIC Clearinghouseemicrofiches : positive.07aAlgebra.2ericd17aCollege Mathematics.2ericd17aGeometric Concepts.2ericd07aGeometry.2ericd07aHigher Education.2ericd17aMathematics.2ericd17aMathematics Curriculum.2ericd17aMathematics Education.2ericd07aMathematics Instruction.2ericd17aTransformations (Mathematics)2ericd 7aTranslations.2ericd2 aChicago Univ., IL. Dept. of Mathematics.41uhttps://eric.ed.gov/?id=ED184844 aANLcmc 2253 ED184844d77000000192573