Mathematical Analysis. Volume 1

Author: Yan Ziqian Yin Jingxue Zhang Ran
Publisher:
Publish Date: 2004-05-01
Features: This book is written in response to the needs of teaching reform in mathematics departments for undergraduate students, drawing on the authors' long-term teaching experience. It includes innovative attempts in the arrangement of content and the training of thinking methods. The book is a volume, covering main topics such as the limit of sequences, the limit of functions, the continuity of functions, derivatives and differentials, mean value theorems and Taylor formulas, indefinite integrals and definite integrals, series of terms, improper integrals, series of functions, and Fourier series. It can serve as a textbook for mathematics departments in universities and normal schools, as well as for computer science, mechanics, and physics majors. It is also suitable for social readers. [menu]
Chapter 1: Limit of Sequences
Chapter 2: Limit of Functions
Chapter 3: Continuity of Functions
Chapter 4: Derivatives and Differentials
Chapter 5: Mean Value Theorems and Taylor Formulas
Chapter 6: Indefinite Integrals
Chapter 7: Definite Integrals
Chapter 8: Series of Terms
Chapter 9: Improper Integrals
Chapter 10: Series of Functions
Chapter 11: Fourier Series