1, Advanced Mathematics-Tongji University 6th Edition
This book is the sixth edition of Advanced Mathematics compiled by the Department of Mathematics of Tongji University. According to the latest Basic Requirements of Mathematics Teaching for Engineering Undergraduates, it is revised for engineering majors in colleges and universities.
The revision of the sixth edition moderately adjusted the depth and breadth of the textbook, so that students who study this course can meet the qualification requirements, and set up some contents marked with * to meet the needs of hierarchical teaching; Absorb the advantages of excellent textbooks at home and abroad, adjust and enrich the types and quantities of exercises, help students improve their mathematical literacy, cultivate their innovative consciousness and master the ability to solve practical problems with mathematical tools. Further tempering and adjusting the contents of the book, moving spatial analytic geometry and vector algebra to the second book, and teaching them together with multivariate function calculus is more beneficial to students' study.
2, "Tao Zhexuan teaches you to learn mathematics"-Tao Zhexuan
The essence of this book is to explain the idea of the topic. He will talk for a long time on the same topic, explaining in detail what methods he tried, why he tried, what didn't work and what used when solving a topic. To sum up, I show you the problem-solving ideas of top mathematicians.
3. Looking at Elementary Mathematics from a High Angle-Klein
This book reflects many of his views on mathematics and vividly shows people the legacy of first-class masters. After publication, it was translated into many languages, which is an immortal masterpiece of mathematics education, and its influence has never weakened.
4. Mathematical Analysis Course-Higher Education Press
The first volume is about one-dimensional calculus and multivariate differential calculus, and the second volume is about multivariate integral, infinite series, generalized integral and Fourier series. Based on years of teaching experience, the author carefully structured and adjusted the content system of mathematical analysis, dispersed the difficulties, highlighted the basic knowledge and training of analytical science, and made the contents in the book simple, plain, natural, useful and interesting.