Mathematical Analysis - (Second Edition)

Author: Xu Senlin
Publisher:
Publish Date: 2006-09-01
Features: This book is divided into three volumes to explain the content of mathematical analysis. While deeply exploring the essence of the material, it strives to closely connect with the content of subsequent courses, giving the material a modern mathematical flavor. Additionally, it reflects the teaching philosophy of catering to individual aptitudes by covering both the aspects of explanation and training. The second volume includes the topology of (Rn, Pn0), the continuity and limits of n-ary functions, the differential and applications of n-ary functions, the Riemann integral of n-ary functions, line integrals, surface integrals, the integral of exterior differential forms, and field theory. The book is equipped with a large number of typical examples, and the exercises are divided into three levels: practice problems, thought-provoking problems, and review problems, for the readers to choose from. This set of books can serve as a textbook for mathematics majors in universities of science and engineering or normal universities, especially for base classes or pilot classes, and can also be used as a reference book for university teachers and mathematicians.