Discrete Mathematics

开始时间: 04/22/2022 持续时间: Unknown

所在平台: CourseraArchive

课程类别: 数学

大学或机构: CourseraNew

课程主页: https://www.coursera.org/archive/discrete-mathematics

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课程详情

Discrete mathematics forms the mathematical foundation of computer and information science. It is also a fascinating subject in itself. Learners will become familiar with a broad range of mathematical objects like sets, functions, relations, graphs, that are omnipresent in computer science. Perhaps more importantly, they will reach a certain level of mathematical maturity - being able to understand formal statements and their proofs; coming up with rigorous proofs themselves; and coming up with interesting results. This course attempts to be rigorous without being overly formal. This means, for every concept we introduce we will show at least one interesting and non-trivial result and give a full proof. However, we will do so without too much formal notation, employing examples and figures whenever possible. The main topics of this course are (1) sets, functions, relations, (2) enumerative combinatorics, (3) graph theory, (4) network flow and matchings. It does not cover modular arithmetic, algebra, and logic, since these topics have a slightly different flavor and because there are already several courses on Coursera specifically on these topics.

离散数学:离散数学构成计算机和信息科学的数学基础。它本身也是一个有趣的主题。 学习者将熟悉计算机科学中无处不在的各种数学对象,例如集合,函数,关系,图。也许更重要的是,它们将达到一定的数学成熟度-能够理解正式声明及其证明;自己拿出严格的证明;并得出有趣的结果。 本课程尝试严谨而不过于正式。这意味着,对于我们引入的每个概念,我们将至少显示一个有趣且不平凡的结果并给出完整的证明。但是,我们将在没有太多正式注释的情况下这样做,并尽可能使用示例和数字。 本课程的主要主题是(1)集,函数,关系,(2)枚举组合,(3)图论,(4)网络流和匹配。它不涉及模块化算术,代数和逻辑,因为这些主题的风格略有不同,并且因为Coursera上已经有几门专门针对这些主题的课程。

课程大纲

This module gives the learner a first impression of what discrete mathematics is about, and in which ways its "flavor" differs from other fields of mathematics. It introduces basic objects like sets, relations, functions, which form the foundation of discrete mathematics.

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课程简介

Discrete mathematics forms the mathematical foundation of computer and information science. It is al

课程标签

离散数学 离散数学公开课 数学基础 离散数学课程 计算机科学 数学

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