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This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more. Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics. Accessible in style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties.* Features nearly 200 entries, organized thematically and written by an international team of distinguished contributors* Presents major ideas and branches of pure mathematics in a clear, accessible style* Defines and explains important mathematical concepts, methods, theorems, and open problems* Introduces the language of mathematics and the goals of mathematical research* Covers number theory, algebra, analysis, geometry, logic, probability, and more* Traces the history and development of modern mathematics* Profiles more than ninety-five mathematicians who influenced those working today* Explores the influence of mathematics on other disciplines* Includes bibliographies, cross-references, and a comprehensive index Contributors incude: Graham Allan, Noga Alon, George Andrews, Tom Archibald, Sir Michael Atiyah, David Aubin, Joan Bagaria, Keith Ball, June Barrow-Green, Alan Beardon, David D. Ben-Zvi, Vitaly Bergelson, Nicholas Bingham, Bela Bollobas, Henk Bos, Bodil Branner, Martin R. Bridson, John P. Burgess, Kevin Buzzard, Peter J. Cameron, Jean-Luc Chabert, Eugenia Cheng, Clifford C.Cocks, Alain Connes, Leo Corry, Wolfgang Coy, Tony Crilly, Serafina Cuomo, Mihalis Dafermos, Partha Dasgupta, Ingrid Daubechies, Joseph W. Dauben, John W. Dawson Jr., Francois de Gandt, Persi Diaconis, Jordan S. Ellenberg, Lawrence C. Evans, Florence Fasanelli, Anita Burdman Feferman, Solomon Feferman, Charles Fefferman, Della Fenster, Jose Ferreiros, David Fisher, Terry Gannon, A. Gardiner, Charles C. Gillispie, Oded Goldreich, Catherine Goldstein, Fernando Q. Gouvea, Timothy Gowers, Andrew Granville, Ivor Grattan-Guinness, Jeremy Gray, Ben Green, Ian Grojnowski, Niccolo Guicciardini, Michael Harris, Ulf Hashagen, Nigel Higson, Andrew Hodges, F. E. A. Johnson, Mark Joshi, Kiran S. Kedlaya, Frank Kelly, Sergiu Klainerman, Jon Kleinberg, Israel Kleiner, Jacek Klinowski, Eberhard Knobloch, Janos Kollar, T. W. Korner, Michael Krivelevich, Peter D. Lax, Imre Leader, Jean-Francois Le Gall, W. B. R. Lickorish, Martin W. Liebeck, Jesper Lutzen, Des MacHale, Alan L. Mackay, Shahn Majid, Lech Maligranda, David Marker, Jean Mawhin, Barry Mazur, Dusa McDuff, Colin McLarty, Bojan Mohar, Peter M. Neumann, Catherine Nolan, James Norris, Brian Osserman, Richard S.Palais, Marco Panza, Karen Hunger Parshall, Gabriel P. Paternain, Jeanne Peiffer, Carl Pomerance, Helmut Pulte, Bruce Reed, Michael C. Reed, Adrian Rice, Eleanor Robson, Igor Rodnianski, John Roe, Mark Ronan, Edward Sandifer, Tilman Sauer, Norbert Schappacher, Andrzej Schinzel, Erhard Scholz, Reinhard Siegmund-Schultze, Gordon Slade, David J. Spiegelhalter, Jacqueline Stedall, Arild Stubhaug, Madhu Sudan, Terence Tao, Jamie Tappenden, C. H. Taubes, Rudiger Thiele, Burt Totaro, Lloyd N. Trefethen, Dirk van Dalen, Richard Weber, Dominic Welsh, Avi Wigderson, Herbert Wilf, David Wilkins, B. Yandell, Eric Zaslow, Doron Zeilberger

This edited book looks at recent studies on interdisciplinary research related to exergy, energy, and the environment. This topic is of prime significance - there is a strong need for practical solutions through better design, analysis and assessment in order to achieve better efficiency, environment and sustainability.

Exergetic, Energetic and Environmental Dimensions covers a number of topics ranging from thermodynamic optimization of energy systems, to the environmental impact assessment and clean energy, offering readers a comprehensive reference on analysis, modeling, development, experimental investigation, and improvement of many micro to macro systems and applications, ranging from basic to advanced categories.

Its comprehensive content includes:

Comprehensive coverage of development of systems considering exergy, energy, and environmental issues, along with the most up-to-date information in the area, plus recent developments New developments in the area of exergy, including recent debate involving the shaping of future directions and priorities for better environment, sustainable development and energy security Provides a number of illustrative examples, practical applications, and case studies Introduces recently developed technological and strategic solutions and engineering applications for professionals in the area Provides numerous engineering examples and applications on exergy Offers a variety of problems that foster critical thinking and skill development

Design, Analysis and Applications of Renewable Energy Systems covers recent advancements in the study of renewable energy control systems by bringing together diverse scientific breakthroughs on the modeling, control and optimization of renewable energy systems as conveyed by leading energy systems engineering researchers. The book focuses on present novel solutions for many problems in the field, covering modeling, control theorems and the optimization techniques that will help solve many scientific issues for researchers. Multidisciplinary applications are also discussed, along with their fundamentals, modeling, analysis, design, realization and experimental results.

This book fills the gaps between different interdisciplinary applications, ranging from mathematical concepts, modeling, and analysis, up to the realization and experimental work.

Presents some of the latest innovative approaches to renewable energy systems from the point-of-view of dynamic modeling, system analysis, optimization, control and circuit design Focuses on advances related to optimization techniques for renewable energy and forecasting using machine learning methods Includes new circuits and systems, helping researchers solve many nonlinear problems

Advances of Artificial Intelligence in a Green Energy Environment reviews the new technologies in intelligent computing and AI that are reducing the dimension of data coverage worldwide. This handbook describes intelligent optimization algorithms that can be applied in various branches of energy engineering where uncertainty is a major concern.

Including AI methodologies and applying advanced evolutionary algorithms to real-world application problems for everyday life applications, this book considers distributed energy systems, hybrid renewable energy systems using AI methods, and new opportunities in blockchain technology in smart energy.

Covering state-of-the-art developments in a fast-moving technology, this reference is useful for engineering students and researchers interested and working in the AI industry.

Looks at new techniques in artificial intelligence (AI) reducing the dimension of data coverage worldwide Chapters include AI methodologies using enhanced hybrid swarm-based optimization algorithms Includes flowchart diagrams for exampling optimizing techniques

This book draws on social science analysis to understand the ongoing dynamics within and surrounding local energy communities in reliably electrified countries: Belgium, Canada, Colombia, France, Germany, India, the Netherlands, Spain, Switzerland and the United Kingdom.It offers a comprehensive overview of recent results and thus outlines a diversity of drivers and levers for scaling up energy communities or, at least, local energy sharing. Analysing the main types of energy communities such as collective self-consumption, citizen cooperatives and peer-to-peer digital platforms, the book does not only raise new questions for social scientists, but also offers a comprehensive overview for all those contributing to the circular economy and the decentralization of energy production in inhabited areas where energy consumption is concentrated. This book provides input for the ongoing debates in many European countries implementing the national law on the European directives for energy communities. Furthermore, without evading the antagonism between cooperative and market approaches, or the contradictions between different issues, the book outlines the innovative decision-making tools that can facilitate the development of local energy production and sharing systems.As well as being of interest to postgraduates and researchers in the field of energy studies, this book will be vital to energy professionals looking to support local energy communities’ decision-making and design, who wish to consider sociological, organizational and territorial dimensions.

This book draws on social science analysis to understand the ongoing dynamics within and surrounding local energy communities in reliably electrified countries: Belgium, Canada, Colombia, France, Germany, India, the Netherlands, Spain, Switzerland and the United Kingdom.It offers a comprehensive overview of recent results and thus outlines a diversity of drivers and levers for scaling up energy communities or, at least, local energy sharing. Analysing the main types of energy communities such as collective self-consumption, citizen cooperatives and peer-to-peer digital platforms, the book does not only raise new questions for social scientists, but also offers a comprehensive overview for all those contributing to the circular economy and the decentralization of energy production in inhabited areas where energy consumption is concentrated. This book provides input for the ongoing debates in many European countries implementing the national law on the European directives for energy communities. Furthermore, without evading the antagonism between cooperative and market approaches, or the contradictions between different issues, the book outlines the innovative decision-making tools that can facilitate the development of local energy production and sharing systems.As well as being of interest to postgraduates and researchers in the field of energy studies, this book will be vital to energy professionals looking to support local energy communities’ decision-making and design, who wish to consider sociological, organizational and territorial dimensions.

This book presents scheduling with a medium- and short-term focus, which makes it possible to capitalize on fleeting market opportunities while simultaneously working to reconcile economic and environmental priorities.

This book presents scheduling with a medium- and short-term focus, which makes it possible to capitalize on fleeting market opportunities while simultaneously working to reconcile economic and environmental priorities.

This book presents state-of-the-art research and practice in optimization routing, specifically the vehicle routing problem (VRP).

This book presents state-of-the-art research and practice in optimization routing, specifically the vehicle routing problem (VRP).   Since its introduction in the late 1950s, the VRP has been a very significant area of research and practice in operations research.  Vehicles are used to make deliveries and for pick-ups every day and everywhere.  Companies such as Amazon, UPS, FedEx, and DHL use route optimization to reduce mileage, fuel use, number of trucks on the road, and carbon dioxide emissions.  The authors compile and analyze 135 survey and review articles on vehicle routing topics published between 2005 and 2022 in an effort to make key observations about publication and trend history, summarize the overall contributions in the field, and identify trends in VRP research and practice.   The authors have compiled published research on models, algorithms, and applications for specific areas, including: alternative and multiple objectives; arc routing and general routing; drones, last-mile delivery, and urban distribution; dynamic and stochastic routing; green routing; inventory routing; loading constraints; location-routing; multiple depots; pickup and delivery and dial-a-ride problems; rich and multi-attribute routing; routing over time; shipping; two-echelon, collaborative, and inter-terminal problems; specific variants, benchmark datasets, and software; and exact algorithms and heuristics.  In addition, the book discusses how vehicle routing problems are among the most widely studied problems in combinatorial optimization due to the mathematical complexity and practical significance.

This book investigates the role of optimization methods and data science techniques in improving both internal and external logistics operations, with particular emphasis on last-mile logistics. It explores mathematical models, heuristics, and data-driven approaches for enhancing routing, inventory management, resource allocation, and operational planning under real-world constraints. Special attention is given to the civil applications of emerging technologies, including artificial intelligence, IoT, AGV and UAV, as key enablers of more efficient and sustainable logistics processes. The book also examines the environmental and organizational challenges facing contemporary logistics, with the objective of reducing emissions, congestion, energy consumption, and operational inefficiencies across both urban and rural contexts. By integrating methodological perspectives with practical case studies, it provides a rigorous framework for the design of smarter and more sustainable systems.

Focused on the logistics and transportation operations within a supply chain, this book brings together the latest models, algorithms, and optimization possibilities. Logistics and transportation problems are examined within a sustainability perspective to offer a comprehensive assessment of environmental, social, ethical, and economic performance measures. Featured models, techniques, and algorithms may be used to construct policies on alternative transportation modes and technologies, green logistics, and incentives by the incorporation of environmental, economic, and social measures. Researchers, professionals, and graduate students in urban regional planning, logistics, transport systems, optimization, supply chain management, business administration, information science, mathematics, and industrial and systems engineering will find the real life and interdisciplinary issues presented in this book informative and useful.

Focused on the logistics and transportation operations within a supply chain, this book brings together the latest models, algorithms, and optimization possibilities. Logistics and transportation problems are examined within a sustainability perspective to offer a comprehensive assessment of environmental, social, ethical, and economic performance measures. Featured models, techniques, and algorithms may be used to construct policies on alternative transportation modes and technologies, green logistics, and incentives by the incorporation of environmental, economic, and social measures. Researchers, professionals, and graduate students in urban regional planning, logistics, transport systems, optimization, supply chain management, business administration, information science, mathematics, and industrial and systems engineering will find the real life and interdisciplinary issues presented in this book informative and useful.