Mathematical Analysis (Second Edition)

Author: Zhou Minqiang
Publisher:
Publish Date: 2003-01-01
Features: This textbook covers the fundamental course of higher mathematics—Mathematical Analysis, with its core content being calculus. The series consists of three volumes, and this is the second volume. The book contains six chapters, including Definite Integrals, Improper Integrals, Series with Constant Terms, Series with Variable Terms, Power Series, Taylor Series, and an Introduction to Fourier Analysis. It primarily focuses on definite integrals, improper integrals, series theory, and Fourier analysis. This book is based on the lecture notes used by the author for many years at the School of Mathematical Sciences, Peking University, and is rich in content, presented in an accessible manner. For more challenging theorems, definitions, and topics suitable for deeper exploration, the book provides additional notes to facilitate readers' better understanding of new knowledge. At the end of each chapter, there are also appendices intended to help readers gain a clearer understanding of the knowledge background and improve their mathematical abilities more effectively. The book includes a selection of representative and thought-provoking examples, as well as a sufficient number of exercises and problems. Among these, there are both exercises of general difficulty and more challenging problems, allowing readers to choose according to their needs. This textbook can serve as a teaching material for undergraduate students in mathematics, probability and statistics, mechanics, computer science, and related fields, as well as a reference book for mathematicians and enthusiasts.