Introduction to Modern Mathematics

Author: Du Xun
Publisher:
Publish Date: 1998-07-01
Features: This book is an introductory tutorial on modern mathematics written for college students and scientific and technological personnel to popularize modern mathematics education. It systematically and comprehensively explains the characteristics, significance, basic concepts, structural system, basic theories, and modern mathematical tools with wide application value, such as linear operators, functional analysis, generalized functions, tensors, manifolds, and differential forms. The book's feature is to organize the content from the unified perspective of sets and mappings, following their respective structural systems, with rigorous arguments and complete proofs. It starts from a low level, making it suitable for beginners who have a foundation in advanced mathematics. This book is suitable for second, third, and fourth-year college students, graduate students, and a broad range of scientific and technological personnel. It serves as the textbook for the "Modern Mathematics" course and can also be used as a textbook for a "Functional Analysis" course with a solid foundation.