although there are many excellent ways presenting the principle of the classical calculus, the novel presentations probably leads most naturally to the development of the non-newtonian calculus. the important point to note is that the non-newtonian calculus is a self-contained system independent of any other system of calculus. since this self-contained work is intended for a wide audience, inc...

This paper describes a technology for manipulating the shape of an implicitly modeled surface so that it follows a geometric flow. The proposed technology is a generalization of the method of level sets, which specifies how to manipulate the isosurfaces of greyscale functions, sampled on discrete grids. The proposed formulation projects the geometric motion of the level sets of a greyscale func...

The paper addresses the problem of recovering a pseudoconvex function from the normal cones to its level sets that we call the convex level sets integration problem. An important application is the revealed preference problem. Our main result can be described as integrating a maximally cyclically pseudoconvex multivalued map that sends vectors or “bundles” of a Euclidean space to convex sets in...