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Can I read Inversions (Popular Lectures in Mathematics) on EtoBox?
Inversions (Popular Lectures in Mathematics) by I. Ya. Bakelʹman is a nonfiction available to read on EtoBox.
What is Inversions (Popular Lectures in Mathematics) about?
In this book, I. Ya. Bakel'man introduces inversion transformations in the Euclidean plane and discusses the interrelationships among more general mathematical concepts. The author begins by defining and giving examples of the concept of a transformation in the Euclidean plane, and then explains the "point of infinity" and the "stereographic projection" of the sphere onto the plane. With this preparation, the student is capable of applying the theory of inversions to classical construction problems in the plane. The author also discusses the theory of pencils of circles, and he uses the acquired techniques in a proof of Ptolemy's theorem. In the final chapter, the idea of a group is introduced with applications of group theory to geometry. The author demonstrates the group-theoretic basis for the distinction between Euclidean and Lobachevskian geometry.>
Who reads Inversions (Popular Lectures in Mathematics)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- I. Ya. Bakelʹman
- Publisher
- University of Chicago Press
- Published
- 1974
- Language
- EN
- ISBN
- 9780226034997
- Category
- nonfiction
- Subjects
- Mathematics, Education, Stem
