دانلود کتاب مقدمه ای بر شبکه های شبکه ها

The essence of network science is the realization that the behavior of many complex systems in nature and technology cannot be understood only by analyzing their components. Rather, the interactions between the components, considered as a network usually, play a critical role in the functioning of the system. Network science, initiated around the year 2000, has successfully formulated methodological frameworks and scientific tools to study complex systems composed of many interacting elements, leading to a deep and detailed understanding of their structural and functional fundamental features. A decade later, in 2010, scientists from diverse fields started to develop mathematical frameworks and study more complex scenarios where the networks themselves are interconnected and dependent on each other, forming networks of networks. These systems have also been referred to as interdependent networks, multilayer networks, multiplex networks or multidimensional networks. In this book, we introduce the basic concepts and tools in the developing field of networks of networks, reviewing their fundamental features and new properties, while focusing especially on interdependent networks, which are unique since the interactions between the networks (dependency links) are different from the interactions within the networks (connectivity links). The book is intended both for readers who want a broad overview of the field as well as to those who are interested in a deeper exploration of the methods and applications of this new paradigm. To enable readers to dive deeper into the material, we have chosen to maintain the notation in equations from the original manuscripts where the results were published even though this may lead to differing notation throughout the book. We still believe that this supports further delving into the material through the original sources and have made sure to define variables clearly in each section they are used so that confusion will be avoided.