Differential Invariants Under the Inversion Group (Classic Reprint) - Tapa blanda

Mullins, George Walker

 
9781330114445: Differential Invariants Under the Inversion Group (Classic Reprint)

Sinopsis

Excerpt from Differential Invariants Under the Inversion Group

Part three is concerned with differential invariants of order six. Here again other properties of the double spiral are found. Finally, part four deals with differential invariants, intrinsically expressed, and with the classification of invariants, of order higher than the sixth.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Reseña del editor

Excerpt from Differential Invariants Under the Inversion Group

Part three is concerned with differential invariants of order six. Here again other properties of the double spiral are found. Finally, part four deals with differential invariants, intrinsically expressed, and with the classification of invariants, of order higher than the sixth.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Reseña del editor

Excerpt from Differential Invariants Under the Inversion Group

The object of this paper is to study the differential invariants that arise under the continuous transformation group of six parameters, known as the inversion group of the plane, and given by the equations of transformation
Inversion geometry for the most part has been studied synthetically, in connection with the theory of functions of a complex variable satisfying the general linear fractional transformation group.

Thus it is known that the families of minimal lines, circles, and logarithmic equiangular double spirals remain invariant under

The justification for the study of the group from the standpoint of differential geometry, aside from the classification or codification of the invariants under the group, is the bringing to light of some new properties of the logarithmic double spirals.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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