Mathematical analysis is a teaching material for undergraduates majoring in mathematics in comprehensive universities and normal universities. This book is divided into three volumes. The first volume * * * consists of six chapters, including functions, the limit of sequence, and the limit sum of functions.

Continuity, derivative and differential, application of derivative, indefinite integral; The second volume consists of six chapters, including definite integral, generalized integral, polynomial series, function sequence and function term series, power series and Fourier series; the third volume consists of five chapters.

Chapter, the content is the limit and continuity of N-dimensional Euclidean space and multivariate functions, differential calculus of multivariate functions, multiple integrals and generalized multiple integrals, curve integrals and surface integrals and field theory, and integrals with parametric variables. Mathematical analysis (1

Each chapter is equipped with appropriate exercises, and the answers or tips of the exercises are attached at the end of the book for readers' reference.

The author has taught undergraduate mathematical analysis course in Peking University for many years, and carefully selected the teaching content according to the syllabus.

Optimize and integrate the curriculum system. After several years of teaching practice, good teaching results have been achieved. Mathematical analysis (1 volume) focuses on the description of basic knowledge and the training of basic ability. According to the cognitive law, it is divided into several parts.

Intuitive physical background, as the starting point of introducing mathematical concepts, explains the content concisely and thoroughly, highlights the key points, disperses the difficulties, and is convenient for students to understand and master.

Mathematical analysis (1 volume) can be used as a teaching material for undergraduates in the department of mathematics and the department of applied mathematics in colleges and universities, and it is also a good teaching reference book for young teachers. In order to help readers learn, Mathematical Analysis (1 volume) is accompanied by a learning aid book, Guide to Solving Problems in Mathematical Analysis, for readers' reference.