Слайд 2PRESENTATION PLAN :
1)SOME BIOGRAPHY ABOUT GEORG RIEMANN
2)HIS CONTRIBUTION TO MATHEMATIC
3) ON THE

HYPOTHESES UNDERLYING GEOMETRY
Слайд 3BIOGRAPHY
HE WAS BORN IN SEPTEMBER 17, 1826 IN A VILLAGE NEAR HANOVER.

Слайд 4HIS CONTRIBUTION TO MATHEMATIC
THE FIRST IS ON THE REPRESENTABILITY OF FUNCTIONS BY

TRIGONOMETRIC SERIES.
THE SECOND IS ON THE HYPOTHESES UNDERLYING THE FOUNDATIONS OF GEOMETRY.
Слайд 5ON THE HYPOTHESES UNDERLYING GEOMETRY
1)СONCEPT OF AN N-DIMENSIONAL MANIFOLD
2)ITS METRIC IN

THE FORM OF AN ARBITRARY POSITIVE DEFINITE QUADRATIC FORM.