ISBN: 9780259376248 - acta mathematica, 1883, vol. 3 (classic reprint) (3 Ergebnisse)

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Paperback. Zustand: New. Print on Demand. This book examines the groups of linear substitutions with imaginary coefficients. These substitutions are classified into four types: parabolic, hyperbolic, elliptic, and loxodromic. The author explores the properties of these substitutions, including their ability to transform circles into circles. The author then extends the definition of these substitutions to points in three-dimensional space, showing that the resulting substitutions can be regarded as a combination of linear substitutions and inversions. The book concludes by discussing the significance of these substitutions in the study of complex analysis and geometry. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.…