Mathematical Analysis (Volume 1 and 2)

Author: Li Chengzhang
Publisher:
Publish Date: 2004-07-01
Features: This book is 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. The book is divided into two volumes, introducing the basic content of mathematical analysis. The first volume 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. The second volume mainly includes: limits and continuity of multivariable functions, differential calculus of multivariable functions, parameterized 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 has been revised based on the first edition, with solutions provided for some problems to enhance its applicability. This book can be used as a textbook for students in mathematics departments of higher education institutions and also serves as a reference for mathematics teachers and researchers.