Description

Book Synopsis
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.

Table of Contents
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.

Extension Theory

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    Publisher: American Mathematical Society
    Publication Date: 30/03/2000
    ISBN13: 9780821820315, 978-0821820315
    ISBN10: 0821820311
    Also in:
    Combinatorics and graph theory

    Description

    Book Synopsis
    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.

    Table of Contents
    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.

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