Dissertation > Industrial Technology > Automation technology,computer technology > Computing technology,computer technology > General issues > Theories, methods > Algorithm Theory

Discrete Mathematics Architecture

Author ZuoFu
Tutor ZhuWangGui
School Beijing University of Chemical Technology
Course Applied Computer Technology
Keywords Discrete Mathematics Mathematical Logic Set Theory Algebra System Graph Theory
CLC TP301.6
Type Master's thesis
Year 2001
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Discrete Mathematics is the foundation of computer science , we study discrete mathematics has its practical significance , and can say that it is constructed in mathematics and computer science as a bridge between its research is inseparable from set theory , elementary number theory and other mathematical knowledge, but also and computer science, data structures , database theory , compiler theory is closely related , apparently it can promote the development of computer science. On the one hand for the mathematical theory of the most important thing is axiomatic , knowledge of discrete mathematics axiomatic , contribute to its further development , discrete mathematics is the study of discrete structures for representing discrete things , and all are from the discrete structures collection that is set to start building things , so set theory is a fundamental part of discrete mathematics , discrete mathematics I studied architecture is expanded from elementary set theory . On the other hand , the production of discrete mathematics computer-aided teaching software can help students better understand the theory of discrete mathematics and concepts involved . The abstract discrete mathematics with vivid interface presented to the students , to the learner to create a good learning environment , students can not only learn to program design skills , you can also deepen understanding of the theory . CAI courseware design follows the basic principles of technical standards ( versatility, controllability, scientific, fault-tolerant, user-friendly and easy to operate ) , reasonable arrangements for curriculum and course design , including the following aspects: set theory ( containing binary relations , functions ) , graph theory, algebraic systems ( group theory , rings, lattice , Boolean algebra ) , mathematical logic. At present, some focus only on the use of multimedia educational software computer form , can not really put teaching at school , when I designed the software process with emphasis on presentation, theorems and concepts will be principled, and gradually given conditions of their existence , which helps students understand . In this article also describes how to extend to other discrete mathematics computer science , such as binary relations and build linkages , on behalf of the relationship between mathematics and coding .

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