More than 150 years ago - Hermann Grassmann made a prophecy
“For I have every confidence that the effort I have applied to the science reported upon here, which has occupied a considerable span of my lifetime and demanded the most intense exertions of my powers, is not to be lost. … a time will come when it will be drawn forth from the dust of oblivion and the ideas laid down here will bear fruit. … some day these ideas, even if in an altered form, will reappear and with the passage of time will participate in a lively intellectual exchange. For truth is eternal, it is divine; and no phase in the development of truth, however small the domain it embraces, can pass away without a trace. It remains even if the garments in which feeble men clothe it fall into dust.”
This website is an introduction to rediscovering
and exploring the Algebra of Hermann Grassmann.
The beauty and power of Grassmann algebra was first revealed to me as I explored its workings using a computer and Wolfram Mathematica software. I soon discovered - It is indeed an algebra conceived before its time, a beautiful mathematical system ideally suited to power computing in the modern world.
John Browne, May 2021
The genesis of Grassmann algebra
This Support Website - Publication history
John Browne, May 2021
John Browne - exploring another love - Cradle Mountain Wilderness World Heritage Area, Lake St. Clair National Park, Tasmania, Australia.
What is Grassmann Algebra?
Where does its power come from?
The best original source for Grassmann's contributions to science and mathematics is his collected works: Grassmann, Hermann
Hermann Grassmanns Gesammelte Mathematische und Physikalische Werke. Teubner, Leipzig. Volume 1 (1896), Volume 2 (1902,1904), Volume 3 (1911).
Grassmann's algebraic writings are predominantly developed in two books recently translated by Lloyd C. Kannenberg:
Grassmann, Hermann A New Branch of Mathematics: The Ausdehnungslehre of 1844 and other works. Open Court, Illinois. (1995) ISBN 0-8126-9275-6
Grassmann, Hermann Extension Theory. American Mathematical Society. London Mathematical Society. (2000) ISBN 0-8218-2031-1
A bibliography of earlier writers in the Grassmannian tradition is given in Grassmann Algebra Volume 1 or on the Bibliography page at grassmannalgebra.com.
© Estate J. Browne 2022
Precedence claims The publication of the original draft on the web on October 25, 2001 establishes claim to precedence for any new or original previously unpublished results it may have contained. Subsequent drafts also establish claim to precedence for any subsequent results. Any reference to elements of this work should follow standard journal publication practice.