This book offers a transdisciplinary perspective on the concept of "smart villages" Written by an authoritative group of scholars, it discusses various aspects that are essential to fostering the development of successful smart villages. Presenting cutting-edge technologies, such as big data and the Internet-of-Things, and showing how they have been successfully applied to promote rural development, it also addresses important policy and sustainability issues. As such, this book offers a timely snapshot of the state-of-the-art in smart village research and practice.

The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics. With this aim, a brief intuitive introduction to many-body theory is given as a powerful qualitative tool for understanding complex systems. The important emergent concept of a quasiparticle is then introduced as a way to reduce a many-body problem to a single particle quantum problem. Examples of quasiparticles in graphene, superconductors, superfluids and in a topological insulator on a superconductor are discussed.The mathematical idea of self-adjoint extension, which allows short distance information to be included in an effective long distance theory through boundary conditions, is introduced through simple examples and then applied extensively to analyse and predict new physical consequences for graphene.The mathematical discipline of topology is introduced in an intuitive way and is then combined with the methods of differential geometry to show how the emergence of gapless states can be understood. Practical ways of carrying out topological calculations are described.

This book offers a transdisciplinary perspective on the concept of "smart villages" Written by an authoritative group of scholars, it discusses various aspects that are essential to fostering the development of successful smart villages. Presenting cutting-edge technologies, such as big data and the Internet-of-Things, and showing how they have been successfully applied to promote rural development, it also addresses important policy and sustainability issues. As such, this book offers a timely snapshot of the state-of-the-art in smart village research and practice.

Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes physical motivations, enabling students to apply the techniques to their physics formulas and research.
"Thoroughly recommended" by "The Physics Bulletin, " this volume's physics applications range from condensed matter physics and statistical mechanics to elementary particle theory. Its main mathematical topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory.

"Smart City" programs and strategies have become one of the most dominant urban agendas for local governments worldwide in the past two decades. The rapid urbanization rate and unprecedented growth of megacities in the 21st century triggered drastic changes in traditional ways of urban policy and planning, leading to an influx of digital technology applications for fast and efficient urban management. With the rising popularity in making our cities "smart", several domains of urban management, urban infrastructure, and urban quality-of-life have seen increasing dependence on advanced information and communication technologies (ICTs) that optimize and control the day-to-day functioning of urban systems. Smart Cities, essentially, act as digital networks that obtain large-scale real-time data on urban systems, process them, and make decisions on how to manage them efficiently. The book presents 26 chapters, which are organized around five topics: (1) Conceptual framework for smart cities and communities; (2) Technical concepts and models for smart city and communities; (3) Civic engagement and citizen participation; (4) Case studies from the Global North; and (5) Case studies from the Global South.

“Smart City” programs and strategies have become one of the most dominant urban agendas for local governments worldwide in the past two decades. The rapid urbanization rate and unprecedented growth of megacities in the 21st century triggered drastic changes in traditional ways of urban policy and planning, leading to an influx of digital technology applications for fast and efficient urban management. With the rising popularity in making our cities “smart”, several domains of urban management, urban infrastructure, and urban quality-of-life have seen increasing dependence on advanced information and communication technologies (ICTs) that optimize and control the day-to-day functioning of urban systems. Smart Cities, essentially, act as digital networks that obtain large-scale real-time data on urban systems, process them, and make decisions on how to manage them efficiently. The book presents 26 chapters, which are organized around five topics: (1) Conceptual framework for smart cities and communities; (2) Technical concepts and models for smart city and communities; (3) Civic engagement and citizen participation; (4) Case studies from the Global North; and (5) Case studies from the Global South.

This 2006 textbook provides a concise introduction to the key concepts and tools of statistical mechanics. It also covers advanced topics such as non-relativistic quantum field theory and numerical methods. After introducing classical analytical techniques, such as cluster expansion and Landau theory, the authors present important numerical methods with applications to magnetic systems, Lennard-Jones fluids and biophysics. Quantum statistical mechanics is discussed in detail and applied to Bose-Einstein condensation and topics in astrophysics and cosmology. In order to describe emergent phenomena in interacting quantum systems, canonical non-relativistic quantum field theory is introduced and then reformulated in terms of Feynman integrals. Combining the authors' many years' experience of teaching courses in this area, this textbook is ideal for advanced undergraduate and graduate students in physics, chemistry and mathematics.

This textbook provides a concise introduction to the key concepts and tools of modern statistical mechanics. It also covers advanced topics such as non-relativistic quantum field theory and numerical methods. After introducing classical analytical techniques, such as cluster expansion and Landau theory, the authors present important numerical methods with applications to magnetic systems, Lennard-Jones fluids and biophysics. Quantum statistical mechanics is discussed in detail and applied to Bose-Einstein condensation and topics in astrophysics and cosmology. In order to describe emergent phenomena in interacting quantum systems, canonical non-relativistic quantum field theory is introduced and then reformulated in terms of Feynman integrals. Combining the authors' many years' experience of teaching courses in this area, this textbook is ideal for advanced undergraduate and graduate students in physics, chemistry and mathematics.

The book will be of interest to students, teachers and all those who want to understand and use mathematics.

The book will be of interest to students, teachers and all those who want to understand and use mathematics Starting from counting numbers, key concepts are developed in a step by step easy to follow way.

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