Mathematical Analysis. Volume 1 - (Second Edition)

Author: Chen Jixiu, Yu Chonghua, Jin Lu, Editors
Publisher:
Publish Date: 2004-08-01
Features: This book is the result of the "Reform Plan for Teaching Content and Curriculum Systems in Higher Education Towards the 21st Century" by the Ministry of Education, the "Excellent Brand Course Project for Mathematical Analysis in the Creation of Basic Talent Training Bases in Science" by the Ministry of Education, and the "Project for Building 100 Excellent Course Textbooks in Higher Education" by the Higher Education Press. It is a 21st-century course textbook. Based on the "Mathematical Analysis" series published by the Department of Mathematics at Fudan University over the past 20 years, this book was written to meet the needs of reforming mathematics teaching towards the 21st century. Combining the authors' years of teaching experience, the book has made beneficial reforms in terms of system, content, perspective, methods, and presentation. The book is published in two volumes. The first volume includes eight chapters: Sets and Mappings, Limits of Sequences, Limits and Continuity of Functions, Differentiation, Mean Value Theorems and Their Applications, Indefinite Integrals, Definite Integrals, and Improper Integrals. The second volume includes eight chapters: Series of Terms, Series of Functions, Topology on Euclidean Spaces, Differential Calculus of Multivariable Functions, Multiple Integrals, Line Integrals and Surface Integrals, Integrals with Parameters, and Fourier Series. This book can be used as a textbook for the Mathematical Analysis course in mathematics majors at universities and colleges, and is also suitable for other related disciplines.