differential geometry

noun

, Mathematics.

the branch of mathematics that deals with the application of the principles of differential and integral calculus to the study of curves and surfaces.

the application of differential calculus to geometrical problems; the study of objects that remain unchanged by transformations that preserve derivatives

He turned his thesis into the book Geometric Perturbation Theory in Physics on the new developments in differential geometry.

A few remarks and results relating to the differential geometry of plane curves are set down here.

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