Isbn: 9780259098430 - acta mathematica, 1894, vol. 18 (classic reprint) (3 Ergebnisse)
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Paperback. Zustand: New. Print on Demand. This book explores the theory of differential invariants associated with continuous groups of transformations. As an extension of Lie's theories on transformation groups, the author establishes how differential invariants can be deduced from the equations of definition of a group. The concept of a 'reduced form' is discussed and it is shown how differential invariants can help obtain new parameters for invariant transformations. The author applies these principles to determine the invariants of a surface, according to both conformal transformations of space and projective transformations, and examines invariants previously obtained by a different method to solve a problem treated by Roger Liouville. 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.…
