|
所在平台: Udemy |
课程主页: https://www.udemy.com/course/complex-systems-theory-an-introduction/
课程评论：没有评论
课程名称：复杂性理论：导论 课程概述： “我认为下一个[21世纪]将是复杂性的世纪。”——斯蒂芬·霍金。本课程是对复杂系统理论核心概念的介绍，这是一个令人兴奋的新领域，为我们在理解金融系统、环境和大型社会组织等问题上提供了新的视角。课程的目标是将这一主题中抽象而复杂的概念简单化，使其易于理解。 课程内容将从复杂系统概述开始，随后重点讲解五个核心概念： 1. **系统理论**：课程前两部分介绍系统理论和系统思维，帮助学生理解复杂系统为何成为科学中的新范式，以及它与传统科学研究方法的区别。 2. **非线性系统**：非线性科学和复杂系统的概念密切相关，本部分将区分线性和非线性系统，并探讨混沌理论及非线性系统的动态特性。 3. **网络理论**：网络理论近期在各个研究领域中迅速发展，已成为科学研究中最活跃和最令人兴奋的领域之一。我们将探索不同类型的网络及其属性，并通过社交网络和物流网络等实际例子进行说明，最后介绍图论作为网络的数学基础。 4. **复杂适应系统(CAS)**：CAS正被广泛应用于从电力网到经济和文化等各种系统的建模，呈现出一种强大的新视角。本部分还将探讨与CAS紧密相关的控制论、适应性和进化的基本概念。 5. **自组织**：自组织是复杂系统中的一个基础概念，尤其在21世纪的世界中日益显得相关。我们将分析自组织现象，从维基百科、Linux基金会的合作自组织群体到鱼群的形成、磁化和交通堵塞等，探讨它在自然界中的普遍性。 此外，课程结束时将播放一段关于复杂系统的短片，让您了解该领域的现状以及未来面临的主要挑战。每个主题分为三节课，第一节通过视频介绍主题，随后为深入探讨的幻灯片演示，最后提供一个快速（可选）的小测验，促使您思考。
"I think the next [21st] century will be the century of complexity" Stephen W. Hawking This course is an introduction to the core concepts of complex systems theory, an exciting new area that is offering us a fresh perspective on issues such as understanding our financial system, the environment and large social organizations. The aim of this course is to bring the often abstract and sophisticated concepts of this subject down to earth and understandable in an intuitive form. After having started with an overview to complex systems this course will focus upon five of the core concepts. Systems: We will start with two sections on systems theory and systems thinking, this should introduce students to the bigger picture of why complex systems is seen as a new paradigm in science; what exactly this new paradigm is; why we need it and lastly how it differs from our traditional methods of scientific inquiry. Nonlinear systems: The term nonlinear science and complex systems are often used interchangeably showing how essential the concept of nonlinearity is to this subject. In this section we draw the distinction between linear and nonlinear systems and see why it matters. The second part of this section covers the subject of chaos theory and the dynamics of nonlinear systems. Network theory: network theory and networks in general have arisen in almost all fields of inquiry in the past few decades making it one of the most active and exciting areas of scientific study. We will explore many different types of networks, their properties and examples in the real world from social networks to logistics networks. This section will conclude by looking at graph theory, the mathematical foundations that lie behind networks. Complex adaptive systems(CAS): CAS is increasingly being used to model a wide variety of systems from, electrical power grids to economies and cultures it represents a powerful new way of seeing the world. This section will also cover CAS's close relative cybernetics and the basic concept of adaptation and evolution. Self-organization: Self-organization is another of the foundational concepts within complex systems that is proving particularly relevant to the world of the 21st century as we see collaborative self-organizing groups such as Wikipedia and the Linux foundation emerge. But self-organization is more than just a social phenomenon, we explore how it is in fact ubiquitous in our world from the formation of fish schools to magnetization and traffic jams. In conclusion a short film on complex systems Is presented to give you an idea of where the subject is today and what are the main challenges going forward. Each subject is broken down into three lessons the first being an introduction to the topic delivered through video. This will be followed by a slide presentation that digs deeper into the main themes introduced in the first lesson, followed up with a quick(optional) quiz to get you thinking.
