Extension Theory (History of Mathematics) - Softcover

American Mathematical Society

Softcover

ISBN 10: 0821820311 ISBN 13: 9780821820315

Publisher: American Mathematical Society, 2000

Synopsis

The Ausdehnungslehre of 1862 is Grassmann's most mature presentation of his 'extension theory'. The work was unique in capturing the full sweep of his mathematical achievements. Compared to Grassmann's first book, ""Lineale Ausdehnungslehre"", this book contains an enormous amount of new material, including a detailed development of the inner product and its relation to the concept of angle, the 'theory of functions' from the point of view of extension theory, and Grassmann's contribution to the Pfaff problem.In many ways, this book is the version of Grassmann's system most accessible to contemporary readers. This translation is based on the material in Grassmann's ""Gesammelte Werke"", published by B.G. Teubner (Stuttgart and Leipzig, Germany). It includes nearly all the Editorial Notes from that edition, but the 'improved' proofs are relocated, and Grassmann's original proofs are restored to their proper places. The original Editorial Notes are augmented by Supplementary Notes, elucidating Grassmann's achievement in modern terms. This volume is one of an informal sequence of works within the ""History of Mathematics"" series. Volumes in this subset, 'Sources', are classical mathematical works that served as cornerstones for modern mathematical thought.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2000
• ISBN 10: 0821820311
• ISBN 13: 9780821820315
• Binding: Paperback
• Language: English
• Number of pages: 411