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The Research Genealogy
of Dr. Jason Levy


Johann Carl Friedrich Gauss
The research genealogy of Jason Kevin Levy is traced to (Johann) Carl Friedrich Gauss (Universität Helmstedt, 1799), the so-called Prince of Mathematics, and the "Greatest Mathematician since Antiquity".

Gauss (1777-1855) made seminal contributions to the fields of geodesy, differential geometry, astronomy, and analysis. In 1818, he personally carried out a geodesic survey of the German state of Hanover in order to connect with the existing Danish grid.

Today, the Gaussian curvature of a regular surface in R^3 at a point is formally defined as

K(p)==det(S(p))
(1)

where S is the shape operator and det denotes the determinant.




Much of modern geodesy and mathematics can be traced to the work of Gauss. Mathematically, let a regular patch be defined by:
(2)

Then, the Gaussian curvature is given by

(3)

where E, F, and G are coefficients of the first fundamental form and e, f, and g are coefficients of the second fundamental form.
                                               

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C ontact Information

Dr. Jason K. Levy
Disaster Reduction
Huxley College of the Environment
Western Washington University
516 High Street
Bellingham, WA
91225-9085
USA



Email:        jlevy at hawaii dot edu