1, Tongji Edition Advanced Mathematics Workbook
It is a book published by Tongji University Press in August 2002 1. This book is divided into two volumes. The first volume includes functions and limits, differential calculus of univariate functions, integral calculus of univariate functions and ordinary differential equations. The second volume includes infinite series, spatial analytic geometry and vector algebra, differential calculus of multivariate functions and multivariate integral calculus.
The configuration of the exercises in this book is as follows: after each class, in order to meet the basic requirements of teaching, each exercise that needs to be done to escape is compiled into a workbook (also divided into two volumes); In addition, there are review questions at the end of each chapter, most of which are set to review and consolidate what they have learned, and there are also some exercises that can improve students' math ability.
2. Jimidovich
Jimmy Dovich's problem set of mathematical analysis is a famous and representative problem set. According to the actual teaching situation in China, the editor selected about one third of the important exercises, gave detailed answers and published them in two volumes.
This book covers the main contents of each chapter of the problem set, which is convenient for readers to master the content of the problem set from rough to fine and from little to fine, and will be of great benefit to readers who study mathematical analysis in science or advanced mathematics in engineering (namely calculus).
The number of questions is not small, but it is slightly less than Tongji exercise book, and the problem analysis is in place. If it is difficult, the general questions are equal to or slightly higher than the final exam. There are several extended questions at the back of each chapter, which are difficult, but it is good to have a look, and the skills are very high.
Extended data:
Higher mathematics refers to a more complicated part of mathematical objects and methods compared with elementary mathematics and secondary mathematics. Algebra, geometry and simple set theory in middle schools are called secondary mathematics, which is regarded as the transition between elementary mathematics in primary and secondary schools and advanced mathematics in universities.
Generally speaking, advanced mathematics is a basic subject formed by calculus, algebra, geometry and their intersection. The main contents include: series, limit, calculus, spatial analytic geometry and linear algebra, series, ordinary differential equations. Basic subjects for postgraduate examinations in engineering, science and engineering and finance.