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Simplicial Partitions with Applications to the Finite Element Method (Springer Monographs in Mathematics)
by Jan Brandts Sergey Korotov Michal KřížekThis monograph focuses on the mathematical and numerical analysis of simplicial partitions and the finite element method. This active area of research has become an essential part of physics and engineering, for example in the study of problems involving heat conduction, linear elasticity, semiconductors, Maxwell's equations, Einstein's equations and magnetic and gravitational fields.These problems require the simulation of various phenomena and physical fields over complicated structures in three (and higher) dimensions. Since not all structures can be decomposed into simpler objects like d-dimensional rectangular blocks, simplicial partitions are important. In this book an emphasis is placed on angle conditions guaranteeing the convergence of the finite element method for elliptic PDEs with given boundary conditions. It is aimed at a general mathematical audience who is assumed to be familiar with only a few basic results from linear algebra, geometry, and mathematical and numerical analysis.
Simplicial Structures in Topology
by Davide L. Ferrario Renzo A. PiccininiSimplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies closed surfaces and gives their classification. The last chapter of the book is devoted to homotopy groups, which are used in short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henry Poincaré (singular homology is discussed). Illustrative examples throughout and extensive exercises at the end of each chapter for practice enhance the text. Advanced undergraduate and beginning graduate students will benefit from this book. Researchers and professionals interested in topology and applications of mathematics will also find this book useful.
Simplicity: Ideals of Practice in Mathematics and the Arts
by Roman Kossak Philip OrdingTo find "criteria of simplicity" was the goal of David Hilbert's recently discovered twenty-fourth problem on his renowned list of open problems given at the 1900 International Congress of Mathematicians in Paris. At the same time, simplicity and economy of means are powerful impulses in the creation of artworks. This was an inspiration for a conference, titled the same as this volume, that took place at the Graduate Center of the City University of New York in April of 2013. This volume includes selected lectures presented at the conference, and additional contributions offering diverse perspectives from art and architecture, the philosophy and history of mathematics, and current mathematical practice.
Simplicity, Complexity and Modelling
by Mike Christie Stephen S. Senn Philip Dawid Andrew CliffeSeveral points of disagreement exist between different modelling traditions as to whether complex models are always better than simpler models, as to how to combine results from different models and how to propagate model uncertainty into forecasts. This book represents the result of collaboration between scientists from many disciplines to show how these conflicts can be resolved.Key Features:Introduces important concepts in modelling, outlining different traditions in the use of simple and complex modelling in statistics. Provides numerous case studies on complex modelling, such as climate change, flood risk and new drug development. Concentrates on varying models, including flood risk analysis models, the petrol industry forecasts and summarizes the evolution of water distribution systems. Written by experienced statisticians and engineers in order to facilitate communication between modellers in different disciplines. Provides a glossary giving terms commonly used in different modelling traditions. This book provides a much-needed reference guide to approaching statistical modelling. Scientists involved with modelling complex systems in areas such as climate change, flood prediction and prevention, financial market modelling and systems engineering will benefit from this book. It will also be a useful source of modelling case histories.
Simplicity of Complexity in Economic and Social Systems: Proceedings of the 54th Winter School of Theoretical Physics, Lądek Zdrój, Poland, February 18–24th 2018 (Springer Proceedings in Complexity)
by Dariusz Grech Janusz MiśkiewiczThis book presents the Proceedings of the 54th Winter School of Theoretical Physics on Simplicity of Complexity in Economic and Social Systems, held in Lądek Zdrój, Poland, from 18 to 24 February 2018. The purpose of the book is to introduce the new interdisciplinary research that links statistical physics, and particular attention is given to link physics of complex systems, with financial analysis and sociology. The main tools used in these areas are numerical simulation of agents behavior and the interpretation of results with the help of complexity methods, therefore a background in statistical physics and in physics of phase transition is necessary to take the first steps towards these research fields called econophysics and sociophysics. In this perspective, the book is intended to graduated students and young researchers who want to begin the study of this established new area, which connects physicists, economists, sociologists and IT professionals, to better understand complexity phenomena existing not only in physics but also in complex systems being seemingly far from traditional view at physics.
Simplified Business Statistics Using SPSS
by Gabriel Otieno OkelloStatistics are used throughout businesses to present and analyse data and decide on best practice. Simplified Business Statistics Using SPSS provides a practical approach to these concepts and their applications in business, economics and other areas of data analytics. This book guides the reader though these concepts without assuming prior knowledge and is an ideal reference for business analytics students and researchers in related fields. Features Includes simplified statistical contents and a step-by-step guide on how to apply statistical concepts by perform analysis using Statistical Package for Social Sciences together with an interpretation of the statistical analysis output Provides a wide range of data sets to be used for examples and illustrations Designed to be accessible to readers with varied backgrounds
Simplifying STEM [6-12]: Four Equitable Practices to Inspire Meaningful Learning (Corwin Mathematics Series)
by Christa Jackson Kristin L. Cook Sarah B. Bush Margaret J. Mohr-Schroeder Cathrine Maiorca Oliver RobertsStart, focus, or extend your integrated STEM education journey with an authentic interdisciplinary perspective! In response to calls for active STEM learning that builds students’ agency and sense of belonging, teachers and leaders are being encouraged more and more to equitably implement integrated STEM instruction. This practical guidebook is designed to help educators create integrated STEM learning experiences that are inclusive for all students and allows them to experience STEM as scientists, innovators, mathematicians, creators, engineers, and technology experts! Addressing the STEM status quo and promoting inclusiveness in STEM fields, the authors center their work around the Equity-Oriented Conceptual Framework for STEM Literacy, which provides high-quality integrated strategies to connect students′ lived experiences to STEM learning. Simplifying STEM provides a ground-breaking model of the four Integrated STEM Practices (ISPs) to ensure coherent and aligned teaching across disciplines through authentic opportunities to meaningfully engage students. Learn how to simplify STEM with these four equitable practices to inspire deep learning Use critical and creative thinking to seek solutions Collaborate and use appropriate tools to engage in iterative design Communicate solutions based on evidence and data Recognize and use structures in real-world systems Including a STEM planning guide as well as instructional strategies and assessments for standard alignment, this is an essential resource for any educator seeking to empower their students with meaningful STEM learning experiences. The book includes an online implementation toolkit to give educators opportunities for powerful professional development built on collaboration and connection.
Simplifying STEM [6-12]: Four Equitable Practices to Inspire Meaningful Learning (Corwin Mathematics Series)
by Christa Jackson Kristin L. Cook Sarah B. Bush Margaret J. Mohr-Schroeder Cathrine Maiorca Oliver RobertsStart, focus, or extend your integrated STEM education journey with an authentic interdisciplinary perspective! In response to calls for active STEM learning that builds students’ agency and sense of belonging, teachers and leaders are being encouraged more and more to equitably implement integrated STEM instruction. This practical guidebook is designed to help educators create integrated STEM learning experiences that are inclusive for all students and allows them to experience STEM as scientists, innovators, mathematicians, creators, engineers, and technology experts! Addressing the STEM status quo and promoting inclusiveness in STEM fields, the authors center their work around the Equity-Oriented Conceptual Framework for STEM Literacy, which provides high-quality integrated strategies to connect students′ lived experiences to STEM learning. Simplifying STEM provides a ground-breaking model of the four Integrated STEM Practices (ISPs) to ensure coherent and aligned teaching across disciplines through authentic opportunities to meaningfully engage students. Learn how to simplify STEM with these four equitable practices to inspire deep learning Use critical and creative thinking to seek solutions Collaborate and use appropriate tools to engage in iterative design Communicate solutions based on evidence and data Recognize and use structures in real-world systems Including a STEM planning guide as well as instructional strategies and assessments for standard alignment, this is an essential resource for any educator seeking to empower their students with meaningful STEM learning experiences. The book includes an online implementation toolkit to give educators opportunities for powerful professional development built on collaboration and connection.
Simplifying STEM [PreK-5]: Four Equitable Practices to Inspire Meaningful Learning (Corwin Mathematics Series)
by Sarah B. Bush Kristin L. Cook Margaret J. Mohr-Schroeder Christa Jackson Oliver Roberts Cathrine MaiorcaStart, focus, or extend your integrated STEM education journey with an authentic interdisciplinary perspective! In response to calls for active STEM learning that builds students’ agency and sense of belonging, teachers and leaders are being encouraged more and more to equitably implement integrated STEM instruction. This practical guidebook is designed to help educators create integrated STEM learning experiences that are inclusive for all students and allows them to experience STEM as scientists, innovators, mathematicians, creators, engineers, and technology experts! Addressing the STEM status quo and promoting inclusiveness in STEM fields, the authors center their work around the Equity-Oriented Conceptual Framework for STEM Literacy, which provides high-quality integrated strategies to connect students′ lived experiences to STEM learning. Simplifying STEM provides a ground-breaking model of the four Integrated STEM Practices (ISPs) to ensure coherent and aligned teaching across disciplines through authentic opportunities to meaningfully engage students. Learn how to simplify STEM with these four equitable practices to inspire deep learning Use critical and creative thinking to seek solutions Collaborate and use appropriate tools to engage in iterative design Communicate solutions based on evidence and data Recognize and use structures in real-world systems Including a STEM planning guide as well as instructional strategies and assessments for standard alignment, this is an essential resource for any educator seeking to empower their students with meaningful STEM learning experiences. The book includes an online implementation toolkit to give educators opportunities for powerful professional development built on collaboration and connection.
Simplifying STEM [PreK-5]: Four Equitable Practices to Inspire Meaningful Learning (Corwin Mathematics Series)
by Sarah B. Bush Kristin L. Cook Margaret J. Mohr-Schroeder Christa Jackson Oliver Roberts Cathrine MaiorcaStart, focus, or extend your integrated STEM education journey with an authentic interdisciplinary perspective! In response to calls for active STEM learning that builds students’ agency and sense of belonging, teachers and leaders are being encouraged more and more to equitably implement integrated STEM instruction. This practical guidebook is designed to help educators create integrated STEM learning experiences that are inclusive for all students and allows them to experience STEM as scientists, innovators, mathematicians, creators, engineers, and technology experts! Addressing the STEM status quo and promoting inclusiveness in STEM fields, the authors center their work around the Equity-Oriented Conceptual Framework for STEM Literacy, which provides high-quality integrated strategies to connect students′ lived experiences to STEM learning. Simplifying STEM provides a ground-breaking model of the four Integrated STEM Practices (ISPs) to ensure coherent and aligned teaching across disciplines through authentic opportunities to meaningfully engage students. Learn how to simplify STEM with these four equitable practices to inspire deep learning Use critical and creative thinking to seek solutions Collaborate and use appropriate tools to engage in iterative design Communicate solutions based on evidence and data Recognize and use structures in real-world systems Including a STEM planning guide as well as instructional strategies and assessments for standard alignment, this is an essential resource for any educator seeking to empower their students with meaningful STEM learning experiences. The book includes an online implementation toolkit to give educators opportunities for powerful professional development built on collaboration and connection.
Simply Math (DK Simply)
by DKUnderstanding math has never been easier.Combining bold, elegant graphics with easy-to-understand text, Simply Math is the perfect introduction to the subject for those who are short on time but hungry for knowledge. Covering more than 80 key mathematical theories from prime numbers and matrices to logarithms and quadratic equations, each pared-back, single-page entry explains the concept more clearly than ever before.Organized by major themes – number theory and systems; algebra, arithmetic, and calculus; probability and statistics; geometry and topology; logic, game theory, and computer science – entries demystify the groundbreaking ideas of famous mathematicians such as Pythagoras, Pierre de Fermat, Fibonacci, and Henri Poincaré, explaining the essentials of each key mathematical theory.Whether you are studying math in high school or college, or simply want a jargon-free overview of the subject, this indispensable guide is packed with everything you need to understand the basics quickly and easily.
The Simpsons And Their Mathematical Secrets
by Simon SinghThe brainy book by the bestselling author of Fermat's Enigma - a must for anyone interested in numbers and mathematics, as well as for the millions of Simpsons fans worldwide.
Simulating Nature: A Philosophical Study of Computer-Simulation Uncertainties and Their Role in Climate Science and Policy Advice, Second Edition
by Arthur C. PetersenComputer simulation has become an important means for obtaining knowledge about nature. The practice of scientific simulation and the frequent use of uncertain simulation results in public policy raise a wide range of philosophical questions. Most prominently highlighted is the field of anthropogenic climate change-are humans currently changing the
Simulating Social Complexity
by Bruce Edmonds Ruth MeyerSocial systems are among the most complex known. This poses particular problems for those who wish to understand them. The complexity often makes analytic approaches infeasible and natural language approaches inadequate for relating intricate cause and effect. However, individual- and agent-based computational approaches hold out the possibility of new and deeper understanding of such systems. Simulating Social Complexity examines all aspects of using agent- or individual-based simulation. This approach represents systems as individual elements having each their own set of differing states and internal processes. The interactions between elements in the simulation represent interactions in the target systems. What makes these elements "social" is that they are usefully interpretable as interacting elements of an observed society. In this, the focus is on human society, but can be extended to include social animals or artificial agents where such work enhances our understanding of human society. The phenomena of interest then result (emerge) from the dynamics of the interaction of social actors in an essential way and are usually not easily simplifiable by, for example, considering only representative actors. The introduction of accessible agent-based modelling allows the representation of social complexity in a more natural and direct manner than previous techniques. In particular, it is no longer necessary to distort a model with the introduction of overly strong assumptions simply in order to obtain analytic tractability. This makes agent-based modelling relatively accessible to a range of scientists. The outcomes of such models can be displayed and animated in ways that also make them more interpretable by experts and stakeholders. This handbook is intended to help in the process of maturation of this new field. It brings together, through the collaborative effort of many leading researchers, summaries of the best thinking and practice in this area and constitutes a reference point for standards against which future methodological advances are judged. This book will help those entering into the field to avoid "reinventing the wheel" each time, but it will also help those already in the field by providing accessible overviews of current thought. The material is divided into four sections: Introductory, Methodology, Mechanisms, and Applications. Each chapter starts with a very brief section called 'Why read this chapter?' followed by an abstract, which summarizes the content of the chapter. Each chapter also ends with a section of 'Further Reading' briefly describing three to eight items that a newcomer might read next.
Simulating Societal Change: Counterfactual Modelling for Social and Policy Inquiry (Computational Social Sciences)
by Peter Davis Roy Lay-YeeThis book presents a method for creating a working model of society, using data systems and simulation techniques, that can be used for testing propositions of scientific and policy nature. The model is based on the example of New Zealand, but will be applicable to other countries. It is expected that collaborators in other countries can emulate this example with their data systems for teaching and policy purposes, producing a cross-national "collaboratory". This enterprise will evolve with, and to a degree independently of, the book itself, with a supporting website as well as teaching and scientific initiatives. Readers of this text will, for the first time, have a simulation-based working model of society that can be interrogated for policy and substantive purposes. This book will appeal to researchers and professionals from various disciplines working within the social sciences, particularly on matters of demography and public policy.
Simulating Transitions to Agriculture in Prehistory (Computational Social Sciences)
by Salvador Pardo-Gordó Sean BerginThis book highlights new and innovative approaches to archaeological research using computational modeling while focusing on the Neolithic transition around the world.The transformative effect of the spread and adoption of agriculture in prehistory cannot be overstated. Consequently, archaeologists have often focused their research on this transition, hoping to understand both the ecological causes and impacts of this shift, as well as the social motivations and constraints involved. Given the complex interplay of socio-ecological factors, the answers to these types of questions cannot be found using traditional archaeological methods alone. Computational modeling techniques have emerged as an effective approach for better understanding prehistoric data sets and the linkages between social and ecological factors at play during periods of subsistence change. Such techniques include agent-based modeling, Bayesian modeling, GIS modeling of the prehistoric environment, and the modeling of small-scale agriculture. As more archaeological data sets aggregate regarding the transition to agriculture, researchers are often left with few ways to relate these sets to one another.Computational modeling techniques such as those described above represent a critical next step in providing archaeological analyses that are important for understanding human prehistory around the world. Given its scope, this book will appeal to the many interdisciplinary scientists and researchers whose work involves archaeology and computational social science.
Simulation and Analysis of Mathematical Methods in Real-Time Engineering Applications
by T. Ananth Kumar E. Golden Julie Y. Harold Robinson S. M. JaisakthiWritten and edited by a group of renowned specialists in the field, this outstanding new volume addresses primary computational techniques for developing new technologies in soft computing. It also highlights the security, privacy, artificial intelligence, and practical approaches needed by engineers and scientists in all fields of science and technology. It highlights the current research, which is intended to advance not only mathematics but all areas of science, research, and development, and where these disciplines intersect. As the book is focused on emerging concepts in machine learning and artificial intelligence algorithmic approaches and soft computing techniques, it is an invaluable tool for researchers, academicians, data scientists, and technology developers. The newest and most comprehensive volume in the area of mathematical methods for use in real-time engineering, this groundbreaking new work is a must-have for any engineer or scientist’s library. Also useful as a textbook for the student, it is a valuable contribution to the advancement of the science, both a working handbook for the new hire or student, and a reference for the veteran engineer.
Simulation and Chaotic Behavior of Alpha-stable Stochastic Processes
by Aleksand Janicki A. WeronPresents new computer methods in approximation, simulation, and visualization for a host of alpha-stable stochastic processes.
Simulation and Inference for Stochastic Processes with YUIMA: A Comprehensive R Framework for SDEs and Other Stochastic Processes (Use R!)
by Stefano M. Iacus Nakahiro YoshidaThe YUIMA package is the first comprehensive R framework based on S4 classes and methods which allows for the simulation of stochastic differential equations driven by Wiener process, Lévy processes or fractional Brownian motion, as well as CARMA, COGARCH, and Point processes. The package performs various central statistical analyses such as quasi maximum likelihood estimation, adaptive Bayes estimation, structural change point analysis, hypotheses testing, asynchronous covariance estimation, lead-lag estimation, LASSO model selection, and so on. YUIMA also supports stochastic numerical analysis by fast computation of the expected value of functionals of stochastic processes through automatic asymptotic expansion by means of the Malliavin calculus. All models can be multidimensional, multiparametric or non parametric.The book explains briefly the underlying theory for simulation and inference of several classes of stochastic processes and then presents both simulation experiments and applications to real data. Although these processes have been originally proposed in physics and more recently in finance, they are becoming popular also in biology due to the fact the time course experimental data are now available. The YUIMA package, available on CRAN, can be freely downloaded and this companion book will make the user able to start his or her analysis from the first page.
Simulation and Modeling Methodologies, Technologies and Applications
by Mohammad S. Obaidat Slawomir Koziel Janusz Kacprzyk Leifur Leifsson Tuncer ÖrenThis book includes extended and revised versions of a set of selected papers from the 3rd International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2013) which was co-organized by the Reykjavik University (RU) and sponsored by the Institute for Systems and Technologies of Information, Control and Communication (INSTICC). SIMULTECH 2013 was held in cooperation with the ACM SIGSIM - Special Interest Group (SIG) on SImulation and Modeling (SIM), Movimento Italiano Modellazione e Simulazione (MIMOS) and AIS Special Interest Group on Modeling and Simulation (AIS SIGMAS) and technically co-sponsored by the Society for Modeling & Simulation International (SCS), Liophant Simulation, Simulation Team and International Federation for Information Processing (IFIP). This proceedings brings together researchers, engineers, applied mathematicians and practitioners working in the advances and applications in the field of system simulation.
Simulation and Modeling Methodologies, Technologies and Applications
by Mohammad S. Obaidat Tuncer Ören Yuri MerkuryevThis book includes extended and revised versions of a set of selected papers from the 2012 International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2012) which was sponsored by the Institute for Systems and Technologies of Information, Control and Communication (INSTICC) and held in Rome, Italy. SIMULTECH 2012 was technically co-sponsored by the Society for Modeling & Simulation International (SCS), GDR I3, Lionphant Simulation, Simulation Team and IFIP and held in cooperation with AIS Special Interest Group of Modeling and Simulation (AIS SIGMAS) and the Movimento Italiano Modellazione e Simulazione (MIMOS).
Simulation and Modeling Methodologies, Technologies and Applications: 13th International Conference, SIMULTECH 2023 Rome, Italy, July 12-14, 2023 Revised Selected Papers (Lecture Notes in Networks and Systems #1211)
by Gerd Wagner Frank Werner Floriano De RangoThis book includes a set of selected best extended papers from the 13th International Conference on Simulation and Modeling Methodologies, Technologies and Applications (SIMULTECH 2023), that was held in Rome, Italy, from July 12 to 14. The conference brought together researchers, engineers, and practitioners interested in methodologies and applications of modeling and simulation. New and innovative solutions are reported in this book. A selection was made after the conference, based also on the conference chairs assessment, reviewers’ assessment, quality of presentation, and audience interest, so that this book includes the extended and revised versions of the very best papers of the conference. New and innovative solutions are reported in this book.
Simulation and Serious Games for Education
by Yiyu Cai Sui Lin Goei Wim TroosterThis book introduces state-of-the-art research on simulation and serious games for education. The major part of this book is based on selected work presented at the 2014 Asia-Europe Symposium on Simulation and Serious Games held in Windesheim University of Applied Sciences, the Netherlands (Oct 1-2, 2014). It covers three major domains of education applications that use simulation and serious games: Science, Technology, Engineering and Mathematics (STEM) Education; Special Needs Education and Humanity and Social Science Education. Researchers and developers in simulation and serious games for education benefit from this book, and it also offers educators and professionals involved in training insights into the possible applications of simulation and serious games in various areas.
Simulation and Statistics with Excel: An Introduction to Business Students
by Luis Fernando IbarraThe use of simulation techniques has increased in importance in recent history, and simulation activities are an important resource for advanced preparation for the organization and execution of events. When formal mathematics is not enough, simulation may be the only option capable of approximating solutions. Simulation and Statistics with Excel: An Introduction to Business Students offers a non-rigorous and practical tour of the simulation procedure on computers, using a versatile and accessible resource, the Microsoft Excel spreadsheet. This book covers the concepts essential to understanding the basic principles and approaches of statistical simulation, allowing for the study of complex systems. Aimed at students in business and operational research beginning to use simulation as an instrument for understanding existing or proposed processes, this book will lay solid foundations in understanding simulation experimentation.Key Features: Provides a basis to understand the approaches and principles of simulator experiments. Uses a universal and easily accessible resource. Introduces simple examples to teach the fundamentals of simulation.
Simulation and the Monte Carlo Method
by Dirk P. Kroese Reuven Y. RubinsteinThis accessible new edition explores the major topics in Monte Carlo simulationSimulation and the Monte Carlo Method, Second Edition reflects the latest developments in the field and presents a fully updated and comprehensive account of the major topics that have emerged in Monte Carlo simulation since the publication of the classic First Edition over twenty-five years ago. While maintaining its accessible and intuitive approach, this revised edition features a wealth of up-to-date information that facilitates a deeper understanding of problem solving across a wide array of subject areas, such as engineering, statistics, computer science, mathematics, and the physical and life sciences.The book begins with a modernized introduction that addresses the basic concepts of probability, Markov processes, and convex optimization. Subsequent chapters discuss the dramatic changes that have occurred in the field of the Monte Carlo method, with coverage of many modern topics including:Markov Chain Monte CarloVariance reduction techniques such as the transform likelihood ratio method and the screening methodThe score function method for sensitivity analysisThe stochastic approximation method and the stochastic counter-part method for Monte Carlo optimizationThe cross-entropy method to rare events estimation and combinatorial optimizationApplication of Monte Carlo techniques for counting problems, with an emphasis on the parametric minimum cross-entropy methodAn extensive range of exercises is provided at the end of each chapter, with more difficult sections and exercises marked accordingly for advanced readers. A generous sampling of applied examples is positioned throughout the book, emphasizing various areas of application, and a detailed appendix presents an introduction to exponential families, a discussion of the computational complexity of stochastic programming problems, and sample MATLAB programs.Requiring only a basic, introductory knowledge of probability and statistics, Simulation and the Monte Carlo Method, Second Edition is an excellent text for upper-undergraduate and beginning graduate courses in simulation and Monte Carlo techniques. The book also serves as a valuable reference for professionals who would like to achieve a more formal understanding of the Monte Carlo method.