Grammar of Complexity


Book Description

Perplexity of complexity -- Preliminaries -- Theory of extreme events -- Statistical basis of inequality and discounting the future and inequality -- Elements of graph theory -- Exploring graph structures by random walks -- We shape our buildings; thereafter they shape us -- Complexity of musical harmony




Grammar Of Complexity: From Mathematics To A Sustainable World


Book Description

The book is an introduction, for both graduate students and newcomers to the field of the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory. As these are applied for the exploration and characterization of complex systems. Our self-consistent review provides the necessary basis for consistency. We discuss a number of applications such diverse as urban structures and musical compositions.




Mathematical Methods in Modern Complexity Science


Book Description

This book presents recent developments in nonlinear and complex systems. It provides recent theoretic developments and new techniques based on a nonlinear dynamical systems approach that can be used to model and understand complex behavior in nonlinear dynamical systems. It covers information theory, relativistic chaotic dynamics, data analysis, relativistic chaotic dynamics, solvability issues in integro-differential equations, and inverse problems for parabolic differential equations, synchronization and chaotic transient. Presents new concepts for understanding and modeling complex systems




Nonlinear Dynamics and Complexity


Book Description

This book collects a range of contributions on nonlinear dynamics and complexity, providing a systematic summary of recent developments, applications, and overall advances in nonlinearity, chaos, and complexity. It presents both theories and techniques in nonlinear systems and complexity and serves as a basis for more research on synchronization and complexity in nonlinear science as well as a mechanism to fast-scatter the new knowledge to scientists, engineers, and students in the corresponding fields. Written by world-renown experts from across the globe, the collection is ideal for researchers, practicing engineers, and students concerned with machinery and controls, manufacturing, and controls.




The Mathematics of Urban Morphology


Book Description

This edited volume provides an essential resource for urban morphology, the study of urban forms and structures, offering a much-needed mathematical perspective. Experts on a variety of mathematical modeling techniques provide new insights into specific aspects of the field, such as street networks, sustainability, and urban growth. The chapters collected here make a clear case for the importance of tools and methods to understand, model, and simulate the formation and evolution of cities. The chapters cover a wide variety of topics in urban morphology, and are conveniently organized by their mathematical principles. The first part covers fractals and focuses on how self-similar structures sort themselves out through competition. This is followed by a section on cellular automata, and includes chapters exploring how they generate fractal forms. Networks are the focus of the third part, which includes street networks and other forms as well. Chapters that examine complexity and its relation to urban structures are in part four.The fifth part introduces a variety of other quantitative models that can be used to study urban morphology. In the book’s final section, a series of multidisciplinary commentaries offers readers new ways of looking at the relationship between mathematics and urban forms. Being the first book on this topic, Mathematics of Urban Morphology will be an invaluable resource for applied mathematicians and anyone studying urban morphology. Additionally, anyone who is interested in cities from the angle of economics, sociology, architecture, or geography will also find it useful. "This book provides a useful perspective on the state of the art with respect to urban morphology in general and mathematics as tools and frames to disentangle the ideas that pervade arguments about form and function in particular. There is much to absorb in the pages that follow and there are many pointers to ways in which these ideas can be linked to related theories of cities, urban design and urban policy analysis as well as new movements such as the role of computation in cities and the idea of the smart city. Much food for thought. Read on, digest, enjoy." From the foreword by Michael Batty




New Perspectives on Nonlinear Dynamics and Complexity


Book Description

This book presents select, recent developments in nonlinear and complex systems reported at the 1st Online Conference on Nonlinear Dynamics and Complexity, held on November 23-25, 2020. It provides an exchange recent developments, discoveries, and progresses in Nonlinear Dynamics and Complexity. The collection presents fundamental and frontier theories and techniques for modern science and technology, stimulates more research interest for exploration of nonlinear science and complexity; and passes along new knowledge and insight to the next generation of engineers and technologists in a range of fields.




Trauma Informed Placemaking


Book Description

Trauma Informed Placemaking offers an introduction to understanding trauma and healing in place. It offers insights that researchers and practitioners can apply to their place-based practice, learning from a global cohort of place leaders and communities. The book introduces the ethos and application of the trauma-informed approach to working in place, with references to historical and contemporary trauma, including trauma caused by placemakers. It introduces the potential of place and of place practitioners to heal. Offering 20 original frameworks, toolkits and learning exercises across 33 first- and third-person chapters, multi-disciplinary insights are presented throughout. These are organised into four sections that lead the reader to an awareness of how trauma and healing operate in place. The book offers a first gathering of the current praxis in the field – how we can move from trauma in place to healing in place – and concludes with calls to action for the trauma-informed placemaking approach to be adopted. This book will be essential reading for students, researchers and practitioners interested in people and places, from artists and architects, policy makers and planners, community development workers and organisations, placemakers, to local and national governments. It will appeal to the disciplines of human geography, sociology, politics, cultural studies, psychology and to placemakers, planners and policymakers and those working in community development.




Dunsha


Book Description




Real-World Problems for Secondary School Mathematics Students


Book Description

This is a book full of ideas for introducing real world problems into mathematics classrooms and assisting teachers and students to benefit from the experience. Taken as a whole these contributions provide a rich resource for mathematics teachers and their students that is readily available in a single volume. Nowadays there is a universal emphasis on teaching for understanding, motivating students to learn mathematics and using real world problems to improve the mathematics experience of school students. However, using real world problems in mathematics classrooms places extra demands on teachers in terms of extra-mathematical knowledge e.g. knowledge of the area of applications, and pedagogical knowledge. Care must also be taken to avoid overly complex situations and applications. Papers in this collection offer a practical perspective on these issues, and more. While many papers offer specific well worked out lesson type ideas, others concentrate on the teacher knowledge needed to introduce real world applications of mathematics into the classroom. We are confident that mathematics teachers who read the book will find a myriad of ways to introduce the material into their classrooms whether in ways suggested by the contributing authors or in their own ways, perhaps through mini-projects or extended projects or practical sessions or enquiry based learning. We are happy if they do! This book is written for mathematics classroom teachers and their students, mathematics teacher educators, and mathematics teachers in training at pre-service and in-service phases of their careers.




Complex Systems: Innovation and Sustainability in the Digital Age


Book Description

This text provides one of the first book-length studies on the innovative and sustainable development of complex systems in the era of digital transformations, combining quantitative data from several countries with detailed qualitative accounts at the national level. In particular, the book covers the basic concepts, methods, and cutting-edge research on innovation and sustainability in complex systems. Given its scope, the book will be of great interest and value to researchers and practitioners working across the social sciences and in a diverse range of areas in complexity science. Pursuing a multidisciplinary approach, the book is also an ideal resource for advanced undergraduate and graduate level courses in complexity science, sustainability research, economics, and development studies.