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陈斌
离散数学是计算机科学的基础理论，离散结构的基础知识和逻辑思维的形式化是信息技术类学生的基本功，离散数学的基本概念是理科专业学生进行信息类课程学习的重要基础。
本课程介绍计算机科学和信息技术理论基础的概念和思想方法，介绍数理逻辑、集合论、图论、抽象代数和形式语言与自动机等各部分的基本概念，介绍离散数学基本概念和空间信息技术之间的联系与结合，培养学生理解和掌握离散数学基本概念，采用形式化方法分析问题，并能自觉运用逻辑分析、结构层次分析和同构类比等思想方法解决问题的能力。
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What's inside
Syllabus
数理逻辑：基本概念
数理逻辑：命题逻辑及形式系统
数理逻辑：谓词逻辑及形式系统
Read more
Syllabus
数理逻辑：基本概念
数理逻辑：命题逻辑及形式系统
数理逻辑：谓词逻辑及形式系统
Read more
集合论：集合代数
集合论：特殊关系及函数
图论：图的基本概念
图论：特殊图
抽象代数
形式语言与自动机：基本概念
形式语言与自动机：有限状态机
形式语言与自动机：图灵机与计算理论
期末考试
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Develops skills for the technology space, which is at the heart of our modern world
Focuses on math and logic, which are essential skills for engineers
Explores traditional ideas in computer science, such as finite state machines and set theory
Offers a strong mathematical foundation for beginners in the computer science space
Develops logical thinking and problem-solving skills, which are essential for a career in tech
Provides a solid foundation for other computer science courses
Save this course
Save 离散数学概论 Discrete Mathematics Generality to your list so you can find it easily later:
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Reviews summary
Helpful for undergrads
离散数学概论 Discrete Mathematics Generality is a helpful course for undergraduates in computer science and information technology. It covers the basics of discrete mathematics, including topics such as logic, set theory, graph theory, abstract algebra, and formal languages and automata. The course also explores the connections between discrete mathematics and spatial information technology. Students will gain an understanding of the fundamental concepts of discrete mathematics and develop the ability to solve problems using formal methods.
This course can be helpful for undergraduates.
"很感谢～虽然因为时间紧张学的没那么用心，但还是帮助不小"
Activities
Be better prepared
before
your course. Deepen your understanding
during
and
after
it. Supplement your coursework and achieve mastery of the topics covered
in 离散数学概论 Discrete Mathematics Generality with these
activities:
寻找离散数学导师
Show steps
寻找离散数学导师可以帮助你获得一对一的指导和支持。
Show steps
-
向老师、同学或朋友寻求推荐。
-
也可以在网上或社交媒体上搜索离散数学导师。
练习数理逻辑题目
Show steps
练习数理逻辑题目可以帮助你提高逻辑思维能力，为理解离散数学奠定基础。
Show steps
-
寻找在线或书本上的数理逻辑题目。
-
定期练习解题，并分析解题思路。
参加离散数学讨论小组
Show steps
参加离散数学讨论小组可以帮助你交流学习心得，解决疑难问题。
Show steps
-
寻找在线或线下的离散数学讨论小组。
-
积极参与讨论，提出问题和分享见解。
Three other activities
Expand to see all activities and additional details
Show all six activities
学习图论算法
Show steps
图论算法是离散数学的重要组成部分，学习图论算法可以帮助你解决实际问题。
Show steps
-
寻找网上或书本上的图论算法教程。
-
跟着教程学习不同的图论算法。
-
尝试自己实现一些简单的图论算法。
制作离散数学思维导图
Show steps
制作离散数学思维导图可以帮助你梳理知识结构，加深对概念的理解。
Show steps
-
梳理离散数学的知识体系。
-
使用思维导图软件或手写制作思维导图。
-
定期回顾和更新思维导图。
参与离散数学开源项目
Show steps
参与离散数学开源项目可以让你接触到实际应用，加深对概念的理解。
Show steps
-
寻找 GitHub 或其他平台上的离散数学开源项目。
-
阅读项目文档，了解项目的目标和实现。
-
尝试为项目贡献代码或文档。
寻找离散数学导师
Show steps
寻找离散数学导师可以帮助你获得一对一的指导和支持。
Show steps
Show steps
Show steps
- 向老师、同学或朋友寻求推荐。
- 也可以在网上或社交媒体上搜索离散数学导师。
练习数理逻辑题目
Show steps
练习数理逻辑题目可以帮助你提高逻辑思维能力，为理解离散数学奠定基础。
Show steps
Show steps
Show steps
- 寻找在线或书本上的数理逻辑题目。
- 定期练习解题，并分析解题思路。
参加离散数学讨论小组
Show steps
参加离散数学讨论小组可以帮助你交流学习心得，解决疑难问题。
Show steps
Show steps
Show steps
- 寻找在线或线下的离散数学讨论小组。
- 积极参与讨论，提出问题和分享见解。
Three other activities
Expand to see all activities and additional details
Show all six activities
学习图论算法
Show steps
图论算法是离散数学的重要组成部分，学习图论算法可以帮助你解决实际问题。
Show steps
Show steps
Show steps
- 寻找网上或书本上的图论算法教程。
- 跟着教程学习不同的图论算法。
- 尝试自己实现一些简单的图论算法。
制作离散数学思维导图
Show steps
制作离散数学思维导图可以帮助你梳理知识结构，加深对概念的理解。
Show steps
Show steps
Show steps
- 梳理离散数学的知识体系。
- 使用思维导图软件或手写制作思维导图。
- 定期回顾和更新思维导图。
参与离散数学开源项目
Show steps
参与离散数学开源项目可以让你接触到实际应用，加深对概念的理解。
Show steps
Show steps
Show steps
- 寻找 GitHub 或其他平台上的离散数学开源项目。
- 阅读项目文档，了解项目的目标和实现。
- 尝试为项目贡献代码或文档。
Career center
Learners who complete 离散数学概论 Discrete Mathematics Generality will develop knowledge and skills
that may be useful to these careers:
Computer Scientist
Computer Scientist
Computer Scientists conduct research and develop products that improve computing technology. While the course topics alone will not lead to a job as a Computer Scientist, they build a foundation that will help you succeed. Discrete Mathematics is a fundamental theory in Computer Science, and students in the field must master its concepts to not only succeed, but excel.
Computer Programmer
Computer Programmer
Computer Programmers write and test code to make computer applications and software. The course will teach the basic theories of Computer Programming and how to work with computers. The course will be especially helpful in teaching people how to solve problems using logic and analysis.
Software Engineer
Software Engineer
Software Engineers design, develop, and maintain software systems. They will need to understand the theories that Discrete Mathematics teaches in order to comprehend how software works and how to design it.
Data Scientist
Data Scientist
Data Scientists use data to build models. Discrete Mathematics is useful for building and applying these models.
Artificial Intelligence Engineer
Artificial Intelligence Engineer
Artificial Intelligence Engineers create and maintain software that teaches computers how to think like humans. Artificial Intelligence is a specialized field that relies on Discrete Mathematics in a variety of applications.
Information Security Analyst
Information Security Analyst
Information Security Analysts design and implement security measures to protect information. Discrete Mathematics is the basis for the cryptography and encryption methods that are the backbone of these security measures.
Quantitative Analyst
Quantitative Analyst
Quantitative Analysts use mathematics to analyze financial data and make investment decisions. Discrete Mathematics will help students develop the critical thinking and analytical skills they need to succeed in this role.
Operations Research Analyst
Operations Research Analyst
Operations Research Analysts use mathematical models to solve problems in business and industry. Discrete Mathematics is used to analyze and optimize complex systems.
Actuary
Actuary
Actuaries use mathematics and statistics to assess risk and calculate insurance premiums. Discrete Mathematics will teach students the basic concepts they will need in order to understand the applications of mathematics in insurance.
Market Researcher
Market Researcher
Market Researchers use data to analyze market trends and consumer behavior. Discrete Mathematics will teach students the statistical techniques they need to succeed in this role.
Technical Writer
Technical Writer
Technical Writers create documentation for software and other technical products. They will need to understand the theories that Discrete Mathematics teaches in order to comprehend the products they will be writing about.
Financial Analyst
Financial Analyst
Financial Analysts use mathematics and statistics to analyze financial data and make investment decisions. Discrete Mathematics is a foundational subject for Financial Analysts as it relates to stock analysis, prediction of future cash flows, and statistical modeling.
Business Analyst
Business Analyst
Business Analysts help organizations to improve their performance. To do so, they analyze data. Discrete Mathematics is used to analyze data and find patterns. It also allows for the creation of models that can be used to predict future trends.
Management Consultant
Management Consultant
Management Consultants provide advice to businesses on how to improve their operations. Discrete Mathematics is useful for understanding the data and models that are used in business.
Sales Engineer
Sales Engineer
Sales Engineers help customers to choose and implement technical products. They will need to understand the theories that Discrete Mathematics teaches in order to comprehend the products they will be selling.
For more career information including salaries, visit:
OpenCourser.com/course/w12rjn/Chi
Reading list
We've selected 12 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
离散数学概论 Discrete Mathematics Generality.
Comprehensive and accessible introduction to discrete mathematics, with a focus on applications in computer science. It covers a wide range of topics, including logic, sets, relations, functions, graphs, trees, and algorithms.
Save
Classic in the field of discrete mathematics, and is known for its clear and concise explanations of complex topics. It covers a wide range of topics, including counting, recurrence relations, generating functions, and graph theory.
Classic in the field of theoretical computer science, and is known for its clear and concise explanations of complex topics. It covers a wide range of topics, including automata theory, formal languages, and computability theory.
Provides a comprehensive and accessible introduction to set theory and logic, with a focus on applications in mathematics and computer science. It covers a wide range of topics, including sets, functions, relations, and logic.
Provides a comprehensive and accessible introduction to logic, with a focus on applications in computer science. It covers a wide range of topics, including propositional logic, predicate logic, and modal logic.
Save
本书是抽象代数领域的经典教材，内容全面、深入浅出，涵盖了群、环、域等抽象代数的基本概念，是学习抽象代数的良好入门教材。
Provides a comprehensive and accessible introduction to graph theory, with a focus on applications in computer science. It covers a wide range of topics, including graphs, trees, and algorithms.
Save
Provides a comprehensive and accessible introduction to abstract algebra, with a focus on applications in mathematics and computer science. It covers a wide range of topics, including groups, rings, and fields.
Provides a comprehensive and accessible introduction to formal languages and automata theory, with a focus on applications in computer science. It covers a wide range of topics, including formal languages, automata, and computability theory.
Provides a comprehensive and accessible introduction to mathematical logic, with a focus on applications in mathematics and computer science. It covers a wide range of topics, including propositional logic, predicate logic, and set theory.
Provides a comprehensive and accessible introduction to graph theory, with a focus on applications in mathematics and computer science. It covers a wide range of topics, including graphs, trees, and algorithms.
Provides a comprehensive and accessible introduction to discrete mathematics, with a focus on applications in computer science. It covers a wide range of topics, including logic, sets, relations, functions, graphs, trees, and algorithms.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/w12rjn/Chi
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Effort
3-4 hours/week
Level
Introductory
Via
Coursera
Institution
Peking University
Instructor
陈斌
Language
中文
Good to know
Develops skills for the technology space, which is at the heart of our modern world
Focuses on math and logic, which are essential skills for engineers
Explores traditional ideas in computer science, such as finite state machines and set theory
Offers a strong mathematical foundation for beginners in the computer science space
Develops logical thinking and problem-solving skills, which are essential for a career in tech
Provides a solid foundation for other computer science courses
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