Geometric Calculus Research Articles

Curvature calculations with GEOCALC

A new method for calculating the curvature tensor has been recently proposed by D. Hestenes. This method is a particular application of geometric calculus, which has been implemented in an algebraic programming language on the form of a package called GEOCALC. We show how to apply this package to the Schwarzchild case and we discuss the different results.

Clifford algebra to geometric calculus, by D. Hestenes and G. Sobczyk. Pp 314. $58. 1984. ISBN 90-277-1673-0 (Reidel)

Clifford algebra to geometric calculus, by D. Hestenes and G. Sobczyk. Pp 314. $58. 1984. ISBN 90-277-1673-0 (Reidel)

Clifford Algebra to Geometric Calculus. A Unified Language for Mathematics and Physics

First Page

A simple algorithm for solving the cable equation in dendritic trees of arbitrary geometry

We present an efficient algorithm for solving the one-dimensional cable equation in the Laplace (frequency) domain for an arbitrary linear membrane. This method, a reformulation and extension of the geometrical calculus developed by Butz and Cowan (1974), solves for the transfer impedance between any two points in a branched cable structure of arbitrary geometry (but without loops) by the repetitive application of four simple equations. Such an algorithm is used to analyze the electrical behaviour of nerve cells with highly branched dendritic trees. The algorithm can be implemented using a language such as C, PASCAL or LISP and runs on small machines.

A Certain Geometrical Calculus by Van Der Waerden in Connection with the Elliptic Cubic

A Certain Geometrical Calculus by Van Der Waerden in Connection with the Elliptic Cubic

An Essay on the Geometrical Calculus

Proceedings of the London Mathematical SocietyVolume s1-28, Issue 1 p. 217-263 Articles An Essay on the Geometrical Calculus E. Lasker, E. LaskerSearch for more papers by this author E. Lasker, E. LaskerSearch for more papers by this author First published: November 1896 https://doi.org/10.1112/plms/s1-28.1.217AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat Volumes1-28, Issue1November 1896Pages 217-263 RelatedInformation

Základové geometrického počtu Grassmannova. [I.

Základové geometrického počtu Grassmannova. [I.

Two New Works on Grassmann's Geometrical Calculus

Two New Works on Grassmann's Geometrical Calculus