Ausdehnungslehre
Title | Ausdehnungslehre PDF eBook |
Author | Hermann Günther Grassmann |
Publisher | American Mathematical Soc. |
Pages | 440 |
Release | |
Genre | Mathematics |
ISBN | 9780821890493 |
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 with 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 is the third in an informal sequence of works to be included within the History of Mathematics series, co-published by the AMS and the London Mathematical Society. Volumes in this subset are classical mathematical works that served as cornerstones for modern mathematical thought.
Galois Theory of p-Extensions
Title | Galois Theory of p-Extensions PDF eBook |
Author | Helmut Koch |
Publisher | Springer Science & Business Media |
Pages | 196 |
Release | 2013-03-09 |
Genre | Mathematics |
ISBN | 3662049678 |
Helmut Koch's classic is now available in English. Competently translated by Franz Lemmermeyer, it introduces the theory of pro-p groups and their cohomology. The book contains a postscript on the recent development of the field written by H. Koch and F. Lemmermeyer, along with many additional recent references.
Extension Series
Title | Extension Series PDF eBook |
Author | University of Missouri |
Publisher | |
Pages | 572 |
Release | 1923 |
Genre | Education |
ISBN |
Extension Theory
Title | Extension Theory PDF eBook |
Author | Hermann Grassmann |
Publisher | |
Pages | 411 |
Release | 2000 |
Genre | Ausdehnungslehre |
ISBN | 9781470438876 |
Field Extensions and Galois Theory
Title | Field Extensions and Galois Theory PDF eBook |
Author | Julio R. Bastida |
Publisher | Cambridge University Press |
Pages | 354 |
Release | 1984-12-28 |
Genre | Mathematics |
ISBN | 9780521302425 |
This 1984 book aims to make the general theory of field extensions accessible to any reader with a modest background in groups, rings and vector spaces. Galois theory is regarded amongst the central and most beautiful parts of algebra and its creation marked the culmination of generations of investigation.
Kan Extensions in Enriched Category Theory
Title | Kan Extensions in Enriched Category Theory PDF eBook |
Author | Eduardo J. Dubuc |
Publisher | Springer |
Pages | 190 |
Release | 2006-11-15 |
Genre | Mathematics |
ISBN | 3540363076 |
The original purpose of this paper was to provide suitable enriched completions of small enriched categories.
Operator Theory
Title | Operator Theory PDF eBook |
Author | Aref Jeribi |
Publisher | Walter de Gruyter GmbH & Co KG |
Pages | 256 |
Release | 2021-03-22 |
Genre | Mathematics |
ISBN | 3110596903 |
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.