Abstract: Learning is a gradual process from less to more and from a part to the whole. Differential and integral are good tools to describe local and unitary problems. Combining characters of learning process from a part to the whole with virtue of basic ideas of differential and integral, this paper describes the process of leaning, gives out learning concepts based on some basic theories such as differential, differential manifold , vector bundle, tangent vector bundle, etc., and builds a basic frame of the differential learning theory. The purpose of this paper is trying to describe the learning process essentially. It can accelerate the research on opening out the hypostasis of learning, and change other present basic learning theories which are only the validation of presence of human learning but not the description of it.
Fanzhang Li Yu and Kang Xupei Qian , 2005. Description of Differential Learning Conception . Asian Journal of Information Technology, 4: 16-21.