Introduction to Advanced Mathematics (Volume III) is a textbook compiled by Hua, a famous mathematician in China, in the 1960s. It was taught at the Chinese University of Science and Technology. The book is divided into four volumes, including calculus, advanced algebra, ordinary differential equations and the theory of complex variable functions. This book embodies the author's teaching idea that "mathematics is a closely related knowledge, and the basic courses of the department of mathematics in universities should be discussed together". It also includes the author's teaching skills such as "planting seeds" and "mastering books to warm scholars". This book also introduces many applications of mathematical theory. This makes this set of books different from many existing textbooks, and it is a set of advanced mathematics textbooks with characteristics and high level.

The first volume includes real number limit theory, differential and integral and their applications, series theory, approximate solutions of equations and so on. The second volume includes multivariate function calculus, multiple series theory, curves and surfaces, field theory, Fourier series, ordinary differential equations and so on. The third volume mainly introduces the general theory of complex variable function theory; The fourth volume mainly introduces the basic theory of algebraic matrix theory and its application.

When Introduction to Advanced Mathematics (Volume III) was reprinted, Academician Wang Yuan carefully revised it.

Introduction to Advanced Mathematics (Volume III) can be used as a systematic textbook or teaching reference book for science and engineering majors in colleges and universities, and can also be used as a reference for self-learners.