There is no difference. Discrete mathematics, also known as introduction to discrete mathematics, is a powerful mathematical tool, which plays an important role in the development of computer and the research of computer science. At present, discrete mathematics consists of data structure, algorithm, database theory and software engineering. There is no difference between Introduction to Discrete Mathematics and Discrete Mathematics. Discrete mathematics is the general name of the branch of mathematics that studies discrete quantitative relations and discrete structural mathematical models. It is the core basic course of computer science and technology specialty.