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Extension Theory

Extension Theory

Buch | Softcover
2000
American Mathematical Society (Verlag)
978-0-8218-2031-5 (ISBN)
CHF 179,95 inkl. MwSt
The Ausdehnungslehre of 1862 is Grassmann's mature presentation of his extension theory. The work captured his mathematical achievements. This book includes 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 his contribution to the Pfaff problem.
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.

The elementary conjunctions of extensive magnitudes: Addition, subtraction, multiples and fractions of extensive magnitudes The product structure in general Combinatorial product Inner product Applications to geometry The theory of functions: Functions in general Differential calculus Infinite series Integral calculus Index of technical terms Editorial notes Supplementary notes Subject index.

Erscheint lt. Verlag 1.4.2007
Reihe/Serie History of Mathematics
Zusatzinfo indexes, notes
Verlagsort Providence
Sprache englisch
Gewicht 754 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 0-8218-2031-1 / 0821820311
ISBN-13 978-0-8218-2031-5 / 9780821820315
Zustand Neuware
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