Mathematical Analysis (Second Edition) (Volumes 1 and 2)

Author: Li Chengzhang
Publisher:
Publish Date: 2007-03-01
Features: "Mathematical Analysis" (Volume I and II) (2nd Edition) can be used as a textbook for students in mathematics departments of higher education institutions, as well as for reference by mathematics educators and researchers. This book was written by teachers from the Department of Mathematics at Nankai University based on their years of teaching experience. It is a textbook for foundational courses in university mathematics departments. The book is divided into two volumes and introduces the basic content of mathematical analysis. Volume I mainly includes real numbers and functions, limits, continuous functions, derivatives and their applications, indefinite integrals, definite integrals and their applications, series of terms, improper integrals, and series of functions. Volume II mainly includes limits and continuity of multivariable functions, differential calculus of multivariable functions, parametric integrals, multiple integrals, line integrals, and surface integrals. Each chapter of the book is accompanied by a rich set of exercises for students to practice. The second edition is revised on the basis of the previous edition, with solutions provided for some problems, making the book more applicable. The book can be used as a textbook for students in mathematics departments of higher education institutions, as well as for reference by mathematics educators and researchers.