Mathematical physical equations and special functions is a new textbook of digital teaching mode, which embodies the teaching concept of paying equal attention to knowledge, ideas and methods, and adopts the interactive dynamic quantitative description technology combining analytical quantification, geometric quantification and numerical quantification in an all-round way, which increases the macro understanding of knowledge. With the help of scientific calculation and simulation software platform, this book introduces five important mathematical and physical ideas, five methods for solving partial differential equations and five applied research topics, and studies ten special functions and ten basic partial differential equations. Mathematical physics equations and special functions are concise in content and clear in thinking, which is especially suitable for undergraduates and postgraduates majoring in non-physics and mathematics in science and engineering to learn mathematical physics equations and special functions. This book has nearly 100 digital pictures and a CD (including more than 60 digital animations and source programs for research study).