Complexity Science

Expand your Python skills by working with data structures and algorithms in a refreshing context—through an eye-opening exploration of complexity science. Whether you’re an intermediate-le

Applies complexity science to the study of international politics.

Complexity science is the study of systems with many interdependent components. Such systems - and the self-organization and emergent phenomena they manifest - lie at the heart of many challenges of global importance. This book is a coherent introduction to the mathematical methods used to understand complexity, with plenty of examples and real-world applications. It starts with the crucial concepts of self-organization and emergence, then tackles complexity in dynamical systems using differential equations and chaos theory. Several classes of models of interacting particle systems are studied with techniques from stochastic analysis, followed by a treatment of the statistical mechanics of complex systems. Further topics include numerical analysis of PDEs, and applications of stochastic methods in economics and finance. The book concludes with introductions to space-time phases and selfish routing. The exposition is suitable for researchers, practitioners and students in complexity sci

By now, most academics have heard something about the new science of complexity. In a manner reminiscent of Einstein and the last hundred years of physics, complexity science has captured the public i

This book is a personal account of some aspects of the emergence of modern science, mostly from the viewpoint of those branches of physics which provided the much needed paradigm shift of "more is dif

Exploring Linguistic Science introduces students to the basic principles of complexity theory and then applies these principles to the scientific study of language. It demonstrates how, at every level of linguistic study, we find evidence of language as a complex system. Designed for undergraduate courses in language and linguistics, this essential textbook brings cutting-edge concepts to bear on the traditional components of general introductions to the study of language, such as phonetics, morphology and grammar. The authors maintain a narrative thread throughout the book of 'interaction and emergence', both of which are key terms from the study of complex systems, a new science currently useful in physics, genetics, evolutionary biology, and economics, but also a perfect fit for the humanities. The application of complexity to language highlights the fact that language is an ever-changing, ever-varied product of human behavior.

In this book, Sanjoy Mahajan shows us that the way to master complexity is throughinsight rather than precision. Precision can overwhelm us with information, whereas insight connectsseemingly disparat

Network Science is the emerging field concerned with the study of large, realistic networks. This interdisciplinary endeavor, focusing on the patterns of interactions that arise between individual com

This book was first published in 2006. Despite many well-intentioned policies and changes to management practices, the world's natural resources continue to decline. The roles and interplay between science and policy in the regional broadacre agriculture landscape are examined here, offering readers a thorough understanding of the complex interactions that occur across spatial scales to produce the regional-scale impacts. The fundamental causes of resource degradation, social decline and environmental pollution are addressed, examining the cross-scale drivers from the individual farm level to the global level of commodity systems. Broadacre agriculture is a common land use throughout all continents of the world and is driven by the same type of dynamics, and this case study of the Western Australia agricultural region can be used to clearly demonstrate the principles for other agricultural systems. Aimed at academics, ranging from researchers through to policy analysts, this book will

The process of "self-organization" reveals itself in the inanimate worlds of crystals and seashells, but, as Len Fisher shows, it is also evident in living organisms, from fish to ants to human being

Creation and complexity are two themes that draw the sciences and theology together. The remarkable advances of science in the modern period have opened up new knowledge and revealed ever deepening la

This text reflects the immense current growth in interest in agroecology and changing approaches to it. While it is acknowledged that the science of ecology should be the basis of agroecological plann

Classic economic science is reaching the limits of its explanatory powers. Complexity science uses an increasingly larger set of different methods to analyze physical, biological, cultural, social, an

Juraj Hromkovic takes the reader on an elegant route through the theoretical fundamentals of computer science. The author shows that theoretical computer science is a fascinating discipline, full of s

The Second Edition features expanded coverage of progress in systems science, focusing on the field's overall structure and its components - including systems terms and concepts, complexity, measur

Many aspects of the internal and external workings of computers can be viewed as a series of communication processes. Communication complexity is the mathematical theory of such communication processes. It is also often used as an abstract model of other aspects of computation. This book surveys this mathematical theory, concentrating on the question of how much communication is necessary for any particular process. The first part of the book is devoted to the simple two-party model introduced by Yao in 1979, which is still the most widely studied model. The second part treats newer models developed to deal with more complicated communication processes. Finally, applications of these models, including computer networks, VLSI circuits, and data structures, are treated in the third part of the book. This is an essential resource for graduate students and researchers in theoretical computer science, circuits, networks and information theory.

Cryptography plays a crucial role in many aspects of today's world, from internet banking and ecommerce to email and web-based business processes. Understanding the principles on which it is based is an important topic that requires a knowledge of both computational complexity and a range of topics in pure mathematics. This book provides that knowledge, combining an informal style with rigorous proofs of the key results to give an accessible introduction. It comes with plenty of examples and exercises (many with hints and solutions), and is based on a highly successful course developed and taught over many years to undergraduate and graduate students in mathematics and computer science.

Joyce, Chaos, and Complexity studies the manifold relations among twentieth-century mathematics and Science, James Joyce's fiction, and the critical reception of Joyce's work. Calling for profound rea

"SCIENCE JOURNALISM AT ITS BEST. . . An impeccably researched, amazingly up-to-date, crisply written and well-illustrated survey."--NatureAt the cutting edge of the sciences, a dynamic new concept is

By considering the size of the logical network needed to perform a given computational task, the intrinsic difficulty of that task can be examined. Boolean function complexity, the combinatorial study of such networks, is a subject that started back in the 1950s and has today become one of the most challenging and vigorous areas of theoretical computer science. The papers in this book stem from the London Mathematical Society Symposium on Boolean Function Complexity held at Durham University in July 1990. The range of topics covered will be of interest to the newcomer to the field as well as the expert, and overall the papers are representative of the research presented at the Symposium. Anyone with an interest in Boolean Function complexity will find that this book is a necessary purchase.