This book is one of the "Sino-French Outstanding Engineer Training Project" series of textbooks, designed as an advanced mathematics prerequisite textbook for universities and engineer education in both China and France. The main content includes propositional logic, set theory, mappings and functions, summation and products, counting principles, equivalence relations and order relations, as well as mathematical proof methods, aiming to lay the foundation for the study of advanced mathematics, calculus, linear algebra, probability and statistics, discrete mathematics, and other university mathematics courses.

The book is written in a bilingual mode, fully considering the basic needs of mathematics knowledge in science and engineering for higher education in both China and France, ensuring that readers can master the prerequisite knowledge for university mathematics courses. This book is suitable for high school seniors, college students, and learners with elementary French proficiency. It can be used as a textbook for advanced mathematics courses in college or for readers interested in mathematics and French for reference.

"Sino-French Elite Engineer Training Project" Series of Textbooks

The "Sino-French Elite Engineer Training Project" series of textbooks is designed and planned based on years of teaching practice at SPEIT. The institute relies on the advantages of Shanghai Jiao Tong University's disciplines and conditions, introducing French engineer training concepts and high-quality teaching resources. The training model at the basic stage mainly draws on the French preparatory system, focusing on strengthening students' learning in basic disciplines such as mathematics, physics, chemistry, computer science, and information, with an emphasis on cultivating students' solid basic knowledge, high independent thinking and problem-solving abilities, critical thinking, and bold innovation abilities. The series is planned to include more than 30 books, and 20 have been published to date.