Mathematical Analysis Tutorial (Volume 1)

Author: Xu Shaopu et al.
Publisher:
Publishing Date: 1990-04-01
Features: This book was compiled based on the 1980 teaching for science and mathematics analysis, combined with the actual situation of Nanjing University. The book is conceptually accurate, 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 analysis techniques, while also 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 as a review book for candidates preparing for postgraduate entrance exams. The book is published in two volumes. The first volume consists of 9 chapters, including limit theory, calculus of single-variable functions, and differential calculus of multivariable functions. The second volume consists of 10 chapters, including series theory, Fourier series, improper integrals and integrals with reference variables, line integrals, surface integrals, and multiple integrals, as well as path functions and Riemann-Stieltjes integrals, and field theory.