Discrete mathematics is a mathematical discipline that studies the structure and relationship of discrete quantities and an important branch of modern mathematics. The meaning of discreteness refers to different connecting elements. The structure based on discreteness and the relationship between them are mainly studied, and its objects are generally finite or countable elements.

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. It belongs to the basic subjects of postgraduate examinations in engineering, science and finance.

Second, the scope of application is different

Discrete mathematics is widely used in various disciplines, especially in the field of computer science and technology. At the same time, discrete mathematics is also a specialized course for computer majors, such as programming language, data structure, operating system, compilation technology, artificial intelligence, database, algorithm design and analysis, theoretical computer science foundation and so on.

As a basic science, advanced mathematics has its inherent characteristics, namely, high abstraction, strict logic and wide application. Abstraction and calculation are the most basic and remarkable features of mathematics. Only with a high degree of abstraction and unity can we profoundly reveal its essential laws and make it more widely used.

Third, learning thinking is different.

Through the study of discrete mathematics, we can not only master the descriptive tools and methods for dealing with discrete structures, but also create conditions for subsequent courses, improve abstract thinking and strict logical reasoning ability, and lay a solid foundation for participating in innovative research and development in the future.

Advanced mathematics is also a way of thinking, and the process of learning mathematics is the process of thinking training. The progress of human society is inseparable from the wide application of mathematics. Especially in modern times, the appearance and popularization of electronic computers have broadened the application field of mathematics. Modern mathematics is becoming a powerful driving force for the development of science and technology, and it has also penetrated into the field of social sciences extensively and deeply.

Extended data:

Discrete mathematics subject content:

1. set theory: sets and their operations, binary relations and functions, natural numbers and natural number set, cardinality of sets.

2. Graph theory: basic concepts of graphs, Euler graphs and hamiltonian graph, matrix representation of trees and graphs, planar graphs, graph coloring, dominating sets, covering sets, independent sets and matching, weighted graphs and their applications.

3. Algebraic structure: the basic concepts of algebraic system, semigroup and singularity, group, ring and field, lattice and Boolean algebra.

4. Combinatorial mathematics: combinatorial existence theorem, basic counting formula, combinatorial counting method and combinatorial counting theorem.

5. Mathematical logic: propositional logic, first-order predicate calculus and resolution principle.

Discrete mathematics is divided into three courses, namely set theory and graph theory, algebraic structure and combinatorial mathematics, and mathematical logic. The teaching method is mainly classroom teaching, supplemented by written homework after class, courseware release through the school network teaching platform and teacher-student communication.

Baidu encyclopedia-advanced mathematics

Baidu encyclopedia-discrete mathematics