1, mathematical analysis: both the original edition of Li Lin and Beihang edition contain basic concepts and methods such as limit theory, calculus and its application. They are slightly different in content, but they are quite difficult.
2. Advanced Algebra: The contents of advanced algebra in these two sets of textbooks mainly involve concepts such as fields, rings and modules, as well as their definitions and properties. Li Lin's original edition pays more attention to theoretical proof and abstract algebraic method, while Beihang edition pays more attention to application and examples.
3. Probability theory and mathematical statistics: The contents of probability theory and mathematical statistics in the two sets of textbooks cover basic concepts and methods such as random events, probability models and statistical estimation. Li Lin's original edition pays more attention to theoretical derivation, while Beihang edition pays more attention to practical application and data analysis.
4. Ordinary differential equations: The ordinary differential equations in these two sets of textbooks involve basic concepts, theories and algorithms such as first-order differential equations and higher-order differential equations. Li Lin's original edition pays more attention to theoretical derivation, while Beihang edition pays more attention to practical application and calculation.
5. Complex variable function: The definition, properties and application of complex variable function are explained in detail in Li Linzhen's edition and Beihang edition. This part mainly involves the concept of complex number, calculus of complex variable function, analytic function and residue theorem.
6. Other modules: In addition to the above five modules, Li Linzhen's edition and Beihang edition also cover other commonly used mathematical modules, such as geometric algebra, combinatorial mathematics, number theory and so on. These modules are very important parts of mathematics, which are very helpful to improve students' mathematical literacy and expand their mathematical knowledge.
The practicability of Li Linzhen's version and Beihang's version is as follows.
1, exam pertinence: lin li Zhenti Edition and Beihang Edition are carefully compiled by professional teams according to the exam outline and real questions over the years, aiming at providing targeted preparation for candidates.
2. Systematic: Li Linzhen's edition and Beihang edition are very systematic in content. They organize the learning content according to the subject system and present the subject knowledge to the candidates systematically. By using these two sets of textbooks, candidates can fully understand the basic framework and knowledge points of the subject, so as to better master the subject knowledge.