A New Branch of Mathematics: The Ausdehnungslehre of 1844, and Ohter Works

This is a translation of the work of Grassmann, a 19th-century mathematician, who is acknowledged as one of the founders of vector analysis. His ideas have recently been applied in elementary particle physics and computer sciences, as well as in analytic geometry. The Ausdehnungslehre Of 1844 -- Geometric Analysis -- The Grassmannian Theory Of Point Magnitudes / A.f. M©œbius -- New Theory Of Electrodynamics -- On The Theory Of Compound Colors -- On The Various Types Of Multiplication -- On Electrodynamics -- Mechanics According To The Principles Of Extension Theory -- From Grassmann's Unpublished Papers -- The Position Of The Hamiltonian Quaternions In Extension Theory. By Hermann Grassmann ; Translated By Lloyd C. Kannenberg. Includes Bibliographical References (p. 543-545) And Index. By the general theory of forms we mean that series of truths that relate to all branches of mathematics in the same way, and which thus assume only the general concepts of equality and difference, conjunction and separation.