Mathematical Analysis Tutorial (Volume 2)

Author: Song Guozhu, Ren Fuxian, Xu Shaopu, Jiang Dongping, Editors-in-Chief
Publisher:
Publish Date: 1990-04-01
Features: This book was compiled according to the 1980 science curriculum for mathematical analysis, combined with the actual conditions of Nanjing University. The entire book is conceptually precise, rigorously argued, and written in clear and easy-to-understand language, making it convenient for self-study. The rich and diverse examples and multi-level exercises greatly enhance the traditional training of analytical techniques while appropriately introducing modern analysis concepts. This book can serve as a textbook for mathematics majors in comprehensive universities and normal universities, or as a teaching reference book for other disciplines with high mathematical requirements. It can also be used as a reference book for university teachers, other mathematicians, and candidates preparing for postgraduate entrance exams. The book is published in two volumes: Volume 1 contains 9 chapters, including limit theory, integral of single-variable functions, and differential calculus of multivariable functions. Volume 2 contains 10 chapters, including series theory, Fourier series, improper integrals and parameter-dependent integrals, line integrals, surface integrals, and multiple integrals, as well as contour functions, Riemann-Stieltjes integrals, and field theory.