Staff profile

Professor Geoff Prince

Professor

Faculty of Science, Technology and Engineering

School of Engineering and Mathematical Sciences
Department of Mathematics and Statistics

Physical Sciences 2, Room 308C, Melbourne (Bundoora)

 

Qualifications

BSc, DipEd (Monash), PhD (La Trobe), FAustMS

Membership of professional Associations

ACERA, AustMS, ICE-EM Access Grid Project, AMSI, AMS

Area of study

Mathematics and Statistics

Brief Profile

Research interests include:

- Applications of differential geometry to ordinary and partial differential equations;

- Inverse problem in the calculus of variations;

-Classical mechanics;

-Riemannian geometry

Teaching Units

MAT1CLA - Calculus and Linear Algebra

MAT3AC - Advanced Calculus and Cosmology

MAT3DQ - Dynamics and Quantum Mechanics

MAT2VCA - Vector Calculus

MAT4GM - Geometric Methods for Differential Equations  

Recent Publications

W. Sarlet, G.E. Prince and M. Crampin, Generalized submersiveness of second-order ordinary differential equations. J. Geom. Mech. 1, 209-221 (2009).

G.E. Prince, Comment: "Period function and normalizers of vector fields in Rn with n−1 first integrals" by D. Peralta-Salas, JDE 244, (2008) 1287-1303. J. Diff. Eqns 246, 3750-3753 (2009).

G.E. Prince and S.P. Dubois, Mathematical Models for Motion of the Rear Ends of Vehicles, in Mathematical and Computer Modelling 49, 2049-2060 (2009).

G. E. Prince, On the inverse problem for autoparallels, pp 341-351 in "Variations, Geometry and Physics" in honour of Demeter Krupkas sixty-fifth birthday, O. Krupková and D.J. Saunders (Editors) Nova Science Publishers (2009).

O. Krupková and G. Prince, Second Order Ordinary Differential Equations in Jet Bundles and the Inverse Problem of the Calculus of Variations, pp 837-904, in Handbook of Global Analysis, edited by D. Krupka and D. Saunders, Elsevier (2007).