The Algebra of Invariants (Classic Reprint)

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Excerpt from The Algebra of Invariants The object of this book is to provide an English introduction to the symbolical method in the theory of Invariants. It was started as an attempt to meet the need expressed by Elliott in the preface to The Algebra of Qualities - 'a whole book which shall present to the English reader in his own language a worthy exposition of the method of the great German masters remains a desideratum.' Since then the need has been partly met by the article 'Algebra' by MacMahon in the Supplement to the Encyclopædia Britannica. The subject has been treated from the commencement in order that readers unacquainted with Elliott's treatise or any presentation of the elements may be able to understand the argument. Such readers should bear in mind that this treatise is only concerned with one part of a very extensive subject. The modern theory of Partitions will be found in the first part of the article by MacMahon mentioned above. The first six chapters - a great portion of which, we hope, will be found easy reading - may be said to lead step by step to Gordan's wonderful proof of the finiteness of the system for a single binary form. The sixth chapter is, in fact, devoted to an exposition of Gordan's third proof, but here, as throughout the book, we have allowed ourselves a free hand in dealing with the memoirs and treatises quoted. 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.