ERIC Number: ED184844
Record Type: RIE
Publication Date: 1974
Reference Count: 0
Inversions. Popular Lectures in Mathematics.
Bakel'man, I. Ya
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)
Descriptors: Algebra, College Mathematics, Geometric Concepts, Geometry, Higher Education, Mathematics, Mathematics Curriculum, Mathematics Education, Mathematics Instruction, Transformations (Mathematics)
The University of Chicago Press, Chicago, IL 60637 (Order No. 034992; $4.50).
Publication Type: Translations
Education Level: N/A
Sponsor: National Science Foundation, Washington, DC.
Authoring Institution: Chicago Univ., IL. Dept. of Mathematics.
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.