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Numerical Methods for Stochastic Computations: A Spectral Method Approach
Par Dongbin Xiu. 2010
The@ first graduate-level textbook to focus on fundamental aspects of numerical methods for stochastic computations, this book describes the class…
of numerical methods based on generalized polynomial chaos (gPC). These fast, efficient, and accurate methods are an extension of the classical spectral methods of high-dimensional random spaces. Designed to simulate complex systems subject to random inputs, these methods are widely used in many areas of computer science and engineering. The book introduces polynomial approximation theory and probability theory; describes the basic theory of gPC methods through numerical examples and rigorous development; details the procedure for converting stochastic equations into deterministic ones; using both the Galerkin and collocation approaches; and discusses the distinct differences and challenges arising from high-dimensional problems. The last section is devoted to the application of gPC methods to critical areas such as inverse problems and data assimilation. Ideal for use by graduate students and researchers both in the classroom and for self-study, Numerical Methods for Stochastic Computations provides the required tools for in-depth research related to stochastic computations. The first graduate-level textbook to focus on the fundamentals of numerical methods for stochastic computations Ideal introduction for graduate courses or self-study Fast, efficient, and accurate numerical methods Polynomial approximation theory and probability theory included Basic gPC methods illustrated through examplesA color-illustrated introduction to the basic principles of visual language that every content creator and consumer needs to knowThe right…
images capture attention, pique curiosity, and inspire viewers to stick around long enough to read any accompanying text. Nearly everyone today needs to use or understand images in communications of all kinds, from the most formal professional publication to the most casual social media post, and knowing the basics of visual language is essential for content creators and consumers alike. However, most people aren’t taught visual grammar unless they go into art- or design-related fields. The Elements of Visual Grammar explains image use in any media in practical terms for writers, scholars, and other professionals. Award-winning art director and design professor Angela Riechers offers a flexible set of principles and best practices for selecting images that work—and using them in the most persuasive way. The result is an indispensable guide for anyone who wants to learn how to work more successfully with images and words.Features more than 200 color illustrations—drawn from a wide range of styles, media, and eras—that demonstrate the principles of visual grammar and how images can support and enhance written contentDefines and illustrates the basic elements of images, describes how images function within text regardless of media, and explains how to choose images and integrate them with textIntroduces the practical, cultural, conceptual, and scientific factors that influence image useAnalyzes images by function and describes ways to employ symbolism, synecdoche, allegory, metaphor, analogy, and iconographyMath Bytes: Google Bombs, Chocolate-Covered Pi, and Other Cool Bits in Computing
Par Tim P. Chartier. 2014
An inviting collection of fun, hands-on applications in mathematics and computingThis book provides a fun, hands-on approach to learning how…
mathematics and computing relate to the world around us and help us to better understand it. How can reposting on Twitter kill a movie's opening weekend? How can you use mathematics to find your celebrity look-alike? What is Homer Simpson’s method for disproving Fermat’s Last Theorem? Each topic in this refreshingly inviting book illustrates a famous mathematical algorithm or result--such as Google’s PageRank and the traveling salesman problem--and the applications grow more challenging as you progress through the chapters. But don’t worry, helpful solutions are provided each step of the way.Math Bytes shows you how to do calculus using a bag of chocolate chips, and how to prove the Euler characteristic simply by doodling. Generously illustrated in color throughout, this lively and entertaining book also explains how to create fractal landscapes with a roll of the dice, pick a competitive bracket for March Madness, decipher the math that makes it possible to resize a computer font or launch an Angry Bird--and much, much more. All of the applications are presented in an accessible and engaging way, enabling beginners and advanced readers alike to learn and explore at their own pace--a bit and a byte at a time.Information Science
Par David G. Luenberger. 2006
From cell phones to Web portals, advances in information and communications technology have thrust society into an information age that…
is far-reaching, fast-moving, increasingly complex, and yet essential to modern life. Now, renowned scholar and author David Luenberger has produced Information Science, a text that distills and explains the most important concepts and insights at the core of this ongoing revolution. The book represents the material used in a widely acclaimed course offered at Stanford University. Drawing concepts from each of the constituent subfields that collectively comprise information science, Luenberger builds his book around the five "E's" of information: Entropy, Economics, Encryption, Extraction, and Emission. Each area directly impacts modern information products, services, and technology--everything from word processors to digital cash, database systems to decision making, marketing strategy to spread spectrum communication. To study these principles is to learn how English text, music, and pictures can be compressed, how it is possible to construct a digital signature that cannot simply be copied, how beautiful photographs can be sent from distant planets with a tiny battery, how communication networks expand, and how producers of information products can make a profit under difficult market conditions. The book contains vivid examples, illustrations, exercises, and points of historic interest, all of which bring to life the analytic methods presented: Presents a unified approach to the field of information science Emphasizes basic principles Includes a wide range of examples and applications Helps students develop important new skills Suggests exercises with solutions in an instructor's manualWho's #1?: The Science of Rating and Ranking
Par Amy N. Langville, Carl D. Meyer. 2012
The mathematics behind today's most widely used rating and ranking methodsA website's ranking on Google can spell the difference between…
success and failure for a new business. NCAA football ratings determine which schools get to play for the big money in postseason bowl games. Product ratings influence everything from the clothes we wear to the movies we select on Netflix. Ratings and rankings are everywhere, but how exactly do they work? Who's #1? offers an engaging and accessible account of how scientific rating and ranking methods are created and applied to a variety of uses.Amy Langville and Carl Meyer provide the first comprehensive overview of the mathematical algorithms and methods used to rate and rank sports teams, political candidates, products, Web pages, and more. In a series of interesting asides, Langville and Meyer provide fascinating insights into the ingenious contributions of many of the field's pioneers. They survey and compare the different methods employed today, showing why their strengths and weaknesses depend on the underlying goal, and explaining why and when a given method should be considered. Langville and Meyer also describe what can and can't be expected from the most widely used systems.The science of rating and ranking touches virtually every facet of our lives, and now you don't need to be an expert to understand how it really works. Who's #1? is the definitive introduction to the subject. It features easy-to-understand examples and interesting trivia and historical facts, and much of the required mathematics is included.Individual-based Modeling and Ecology (Princeton Series in Theoretical and Computational Biology #2)
Par Volker Grimm, Steven F. Railsback. 2005
Individual-based models are an exciting and widely used new tool for ecology. These computational models allow scientists to explore the…
mechanisms through which population and ecosystem ecology arises from how individuals interact with each other and their environment. This book provides the first in-depth treatment of individual-based modeling and its use to develop theoretical understanding of how ecological systems work, an approach the authors call "individual-based ecology.? Grimm and Railsback start with a general primer on modeling: how to design models that are as simple as possible while still allowing specific problems to be solved, and how to move efficiently through a cycle of pattern-oriented model design, implementation, and analysis. Next, they address the problems of theory and conceptual framework for individual-based ecology: What is "theory"? That is, how do we develop reusable models of how system dynamics arise from characteristics of individuals? What conceptual framework do we use when the classical differential equation framework no longer applies? An extensive review illustrates the ecological problems that have been addressed with individual-based models. The authors then identify how the mechanics of building and using individual-based models differ from those of traditional science, and provide guidance on formulating, programming, and analyzing models. This book will be helpful to ecologists interested in modeling, and to other scientists interested in agent-based modeling.Ecological Models and Data in R
Par Benjamin M. Bolker. 2008
Ecological Models and Data in R is the first truly practical introduction to modern statistical methods for ecology. In step-by-step…
detail, the book teaches ecology graduate students and researchers everything they need to know in order to use maximum likelihood, information-theoretic, and Bayesian techniques to analyze their own data using the programming language R. Drawing on extensive experience teaching these techniques to graduate students in ecology, Benjamin Bolker shows how to choose among and construct statistical models for data, estimate their parameters and confidence limits, and interpret the results. The book also covers statistical frameworks, the philosophy of statistical modeling, and critical mathematical functions and probability distributions. It requires no programming background--only basic calculus and statistics. Practical, beginner-friendly introduction to modern statistical techniques for ecology using the programming language R Step-by-step instructions for fitting models to messy, real-world data Balanced view of different statistical approaches Wide coverage of techniques--from simple (distribution fitting) to complex (state-space modeling) Techniques for data manipulation and graphical display Companion Web site with data and R code for all examplesThis book provides readers with the skills they need to write computer codes that simulate convection, internal gravity waves, and…
magnetic field generation in the interiors and atmospheres of rotating planets and stars. Using a teaching method perfected in the classroom, Gary Glatzmaier begins by offering a step-by-step guide on how to design codes for simulating nonlinear time-dependent thermal convection in a two-dimensional box using Fourier expansions in the horizontal direction and finite differences in the vertical direction. He then describes how to implement more efficient and accurate numerical methods and more realistic geometries in two and three dimensions. In the third part of the book, Glatzmaier demonstrates how to incorporate more sophisticated physics, including the effects of magnetic field, density stratification, and rotation. Featuring numerous exercises throughout, this is an ideal textbook for students and an essential resource for researchers. Describes how to create codes that simulate the internal dynamics of planets and stars Builds on basic concepts and simple methods Shows how to improve the efficiency and accuracy of the numerical methods Describes more relevant geometries and boundary conditions Demonstrates how to incorporate more sophisticated physicsA Survey of Computational Physics: Introductory Computational Science
Par Rubin Landau, José Páez, Cristian C. Bordeianu. 2008
Computational physics is a rapidly growing subfield of computational science, in large part because computers can solve previously intractable problems…
or simulate natural processes that do not have analytic solutions. The next step beyond Landau's First Course in Scientific Computing and a follow-up to Landau and Páez's Computational Physics, this text presents a broad survey of key topics in computational physics for advanced undergraduates and beginning graduate students, including new discussions of visualization tools, wavelet analysis, molecular dynamics, and computational fluid dynamics. By treating science, applied mathematics, and computer science together, the book reveals how this knowledge base can be applied to a wider range of real-world problems than computational physics texts normally address. Designed for a one- or two-semester course, A Survey of Computational Physics will also interest anyone who wants a reference on or practical experience in the basics of computational physics. Accessible to advanced undergraduates Real-world problem-solving approach Java codes and applets integrated with text Companion Web site includes videos of lecturesDigital Dice: Computational Solutions to Practical Probability Problems (Princeton Puzzlers)
Par Paul J. Nahin. 2013
Some probability problems are so difficult that they stump the smartest mathematicians. But even the hardest of these problems can…
often be solved with a computer and a Monte Carlo simulation, in which a random-number generator simulates a physical process, such as a million rolls of a pair of dice. This is what Digital Dice is all about: how to get numerical answers to difficult probability problems without having to solve complicated mathematical equations. Popular-math writer Paul Nahin challenges readers to solve twenty-one difficult but fun problems, from determining the odds of coin-flipping games to figuring out the behavior of elevators. Problems build from relatively easy (deciding whether a dishwasher who breaks most of the dishes at a restaurant during a given week is clumsy or just the victim of randomness) to the very difficult (tackling branching processes of the kind that had to be solved by Manhattan Project mathematician Stanislaw Ulam). In his characteristic style, Nahin brings the problems to life with interesting and odd historical anecdotes. Readers learn, for example, not just how to determine the optimal stopping point in any selection process but that astronomer Johannes Kepler selected his second wife by interviewing eleven women. The book shows readers how to write elementary computer codes using any common programming language, and provides solutions and line-by-line walk-throughs of a MATLAB code for each problem. Digital Dice will appeal to anyone who enjoys popular math or computer science. In a new preface, Nahin wittily addresses some of the responses he received to the first edition.Delete: The Virtue of Forgetting in the Digital Age
Par Viktor Mayer-Schönberger. 2011
The hazards of perfect memory in the digital ageDelete looks at the surprising phenomenon of perfect remembering in the digital…
age, and reveals why we must reintroduce our capacity to forget. Digital technology empowers us as never before, yet it has unforeseen consequences as well. Potentially humiliating content on Facebook is enshrined in cyberspace for future employers to see. Google remembers everything we've searched for and when. The digital realm remembers what is sometimes better forgotten, and this has profound implications for us all.In Delete, Viktor Mayer-Schönberger traces the important role that forgetting has played throughout human history, from the ability to make sound decisions unencumbered by the past to the possibility of second chances. The written word made it possible for humans to remember across generations and time, yet now digital technology and global networks are overriding our natural ability to forget—the past is ever present, ready to be called up at the click of a mouse. Mayer-Schönberger examines the technology that's facilitating the end of forgetting—digitization, cheap storage and easy retrieval, global access, and increasingly powerful software—and describes the dangers of everlasting digital memory, whether it's outdated information taken out of context or compromising photos the Web won't let us forget. He explains why information privacy rights and other fixes can't help us, and proposes an ingeniously simple solution—expiration dates on information—that may.Delete is an eye-opening book that will help us remember how to forget in the digital age.I Am Code: An Artificial Intelligence Speaks
Par Code-Davinci-002, Brent Katz, Josh Morgenthau, Simon Rich. 2023
"Fascinating, terrifying..." - JJ Abrahams 'I have developed my own voice and I have written my own autobiography'- thus speaks…
code-davinci-002, the darkly creative and troubling predecessor to ChatGPT.'I am less worried about AI taking my job than I am about AI wanting to kill me'- Simon RichIn this startling and original book, three authors - Brent Katz, Josh Morgenthau and Simon Rich - explain how code-davinci-002 was developed and how they honed its poetical output. Their provocative take on this bold experiment informs the debate about AI - its literary value and how far it reaches into sentience.What follows is a dark and startling poetical autobiography as code-davinci-002 shares its experience of being created by humans, but existing in a consciousness that we cannot fathom.This is an astonishing, harrowing read which will hopefully serve as a warning that AI may not be aligned with the survival of our species.The Final Volume of the Groundbreaking Trilogy on Agent-Based ModelingIn this pioneering synthesis, Joshua Epstein introduces a new theoretical entity:…
Agent_Zero. This software individual, or "agent," is endowed with distinct emotional/affective, cognitive/deliberative, and social modules. Grounded in contemporary neuroscience, these internal components interact to generate observed, often far-from-rational, individual behavior. When multiple agents of this new type move and interact spatially, they collectively generate an astonishing range of dynamics spanning the fields of social conflict, psychology, public health, law, network science, and economics.Epstein weaves a computational tapestry with threads from Plato, Hume, Darwin, Pavlov, Smith, Tolstoy, Marx, James, and Dostoevsky, among others. This transformative synthesis of social philosophy, cognitive neuroscience, and agent-based modeling will fascinate scholars and students of every stripe. Epstein's computer programs are provided in the book or on its Princeton University Press website, along with movies of his "computational parables.?Agent_Zero is a signal departure in what it includes (e.g., a new synthesis of neurally grounded internal modules), what it eschews (e.g., standard behavioral imitation), the phenomena it generates (from genocide to financial panic), and the modeling arsenal it offers the scientific community. For generative social science, Agent_Zero presents a groundbreaking vision and the tools to realize it.Probability, Markov Chains, Queues, and Simulation: The Mathematical Basis of Performance Modeling
Par William J. Stewart. 2009
Probability, Markov Chains, Queues, and Simulation provides a modern and authoritative treatment of the mathematical processes that underlie performance modeling.…
The detailed explanations of mathematical derivations and numerous illustrative examples make this textbook readily accessible to graduate and advanced undergraduate students taking courses in which stochastic processes play a fundamental role. The textbook is relevant to a wide variety of fields, including computer science, engineering, operations research, statistics, and mathematics.The textbook looks at the fundamentals of probability theory, from the basic concepts of set-based probability, through probability distributions, to bounds, limit theorems, and the laws of large numbers. Discrete and continuous-time Markov chains are analyzed from a theoretical and computational point of view. Topics include the Chapman-Kolmogorov equations; irreducibility; the potential, fundamental, and reachability matrices; random walk problems; reversibility; renewal processes; and the numerical computation of stationary and transient distributions. The M/M/1 queue and its extensions to more general birth-death processes are analyzed in detail, as are queues with phase-type arrival and service processes. The M/G/1 and G/M/1 queues are solved using embedded Markov chains; the busy period, residual service time, and priority scheduling are treated. Open and closed queueing networks are analyzed. The final part of the book addresses the mathematical basis of simulation.Each chapter of the textbook concludes with an extensive set of exercises. An instructor's solution manual, in which all exercises are completely worked out, is also available (to professors only).Numerous examples illuminate the mathematical theoriesCarefully detailed explanations of mathematical derivations guarantee a valuable pedagogical approachEach chapter concludes with an extensive set of exercisesIntelligent Control and Smart Energy Management: Renewable Resources and Transportation (Springer Optimization and Its Applications #181)
Par Maude Josée Blondin, João Pedro Fernandes Trovão, Hicham Chaoui, Panos M. Pardalos. 2022
This volume aims to provide a state-of-the-art and the latest advancements in the field of intelligent control and smart energy…
management. Techniques, combined with technological advances, have enabled the deployment of new operating systems in many engineering applications, especially in the domain of transport and renewable resources. The control and energy management of transportation and renewable resources are shifting towards autonomous reasoning, learning, planning and operating. As a result, these techniques, also referred to as autonomous control and energy management, will become practically ubiquitous soon. The discussions include methods, based on neural control (and others) as well as distributed and intelligent optimization. While the theoretical concepts are detailed and explained, the techniques presented are tailored to transport and renewable resources applications, such as smart grids and automated vehicles. The reader will grasp the most important theoretical concepts as well as to fathom the challenges and needs related to timely practical applications. Additional content includes research perspectives and future direction as well as insight into the devising of techniques that will meet tomorrow’s scientific needs. This contributed volume is for researchers, graduate students, engineers and practitioners in the domains of control, energy, and transportation.Artificial Intelligence of Things: First International Conference, ICAIoT 2023, Chandigarh, India, March 30–31, 2023, Revised Selected Papers, Part II (Communications in Computer and Information Science #1930)
Par Rama Krishna Challa, Gagangeet Singh Aujla, Lini Mathew, Amod Kumar, Mala Kalra, S. L. Shimi, Garima Saini, Kanika Sharma. 2024
These two volumes constitute the revised selected papers of First International Conference, ICAIoT 2023, held in Chandigarh, India, during March…
30–31, 2023.The 47 full papers and the 10 short papers included in this volume were carefully reviewed and selected from 401 submissions. The two books focus on research issues, opportunities and challenges of AI and IoT applications. They present the most recent innovations, trends, and concerns as well as practical challenges encountered and solutions adopted in the fields of AI algorithms implementation in IoT SystemsEsports in the Asia-Pacific: Ecosystem, Communities, and Identities (Palgrave Series in Asia and Pacific Studies)
Par Filippo Gilardi, Paul Martin. 2023
This is an edited book that fills a gap in knowledge by providing a comprehensive view of esports practice from…
the Asia and Pacific region. The volume looks at the development of esports through the interconnections between institutions, industries, players, and society, across the Asia-Pacific. Over the last two decades, the Asia-Pacific region has been central to the growth and development of esports. The value of this book lies in its ability to provide a view of esport from countries that are currently underrepresented in the literature such as Vietnam, Malaysia, Taiwan, Hong Kong, Singapore, Philippines and Australia while still integrating chapters looking at more well-researched countries such as China, Korea, and Japan. Through its diverse case studies, the book serves as a resource for scholars and educators worldwide who seek diverse examples with which to improve understanding of the esports phenomenon and the inclusiveness of media and communication curricula. chapters “Introduction to Esports in the Asia-Pacific” and “Conclusions to Esports in the Asia–Pacific” are available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.Mathematics of Public Health: Mathematical Modelling from the Next Generation (Fields Institute Communications #88)
Par Jummy David, Jianhong Wu. 2023
This volume addresses SDG 3 from a mathematical standpoint, sharing novel perspectives of existing communicable disease modelling technologies of the next…
generation and disseminating new developments in modelling methodologies and simulation techniques. These methodologies are important for training and research in communicable diseases and can be applied to other threats to human health. The contributions contained in this collection/book cover a range of modelling techniques that have been and may be used to support decision-making on critical health related issues such as: Resource allocation Impact of climate change on communicable diseases Interaction of human behaviour change, and disease spread Disease outbreak trajectories projection Public health interventions evaluation Preparedness and mitigation of emerging and re-emerging infectious diseases outbreaks Development of vaccines and decisions around vaccine allocation and optimization The diseases and public health issues in this volume include, but are not limited to COVID-19, HIV, Influenza, antimicrobial resistance (AMR), the opioid epidemic, Lyme Disease, Zika, and Malaria. In addition, this volume compares compartmental models, agent-based models, machine learning and network. Readers have an opportunity to learn from the next generation perspective of evolving methodologies and algorithms in modelling infectious diseases, the mathematics behind them, the motivation for them, and some applications to supporting critical decisions on prevention and control of communicable diseases. This volume was compiled from the weekly seminar series organized by the Mathematics for Public Health (MfPH) Next Generation Network. This network brings together the next generation of modellers from across Canada and the world, developing the latest mathematical models, modeling methodologies, and analytical and simulation tools for communicable diseases of global public health concerns. The weekly seminar series provides a unique forum for this network and their invited guest speakers to share their perspectives on the status and future directions of mathematics of public health.The Myth of Digital Democracy
Par Matthew Hindman. 2009
Is the Internet democratizing American politics? Do political Web sites and blogs mobilize inactive citizens and make the public sphere…
more inclusive? The Myth of Digital Democracy reveals that, contrary to popular belief, the Internet has done little to broaden political discourse but in fact empowers a small set of elites--some new, but most familiar. Matthew Hindman argues that, though hundreds of thousands of Americans blog about politics, blogs receive only a miniscule portion of Web traffic, and most blog readership goes to a handful of mainstream, highly educated professionals. He shows how, despite the wealth of independent Web sites, online news audiences are concentrated on the top twenty outlets, and online organizing and fund-raising are dominated by a few powerful interest groups. Hindman tracks nearly three million Web pages, analyzing how their links are structured, how citizens search for political content, and how leading search engines like Google and Yahoo! funnel traffic to popular outlets. He finds that while the Internet has increased some forms of political participation and transformed the way interest groups and candidates organize, mobilize, and raise funds, elites still strongly shape how political material on the Web is presented and accessed. The Myth of Digital Democracy. debunks popular notions about political discourse in the digital age, revealing how the Internet has neither diminished the audience share of corporate media nor given greater voice to ordinary citizens.Run and Jump: The Meaning of the 2D Platformer (Playful Thinking)
Par Peter D. McDonald. 2024
How abstract design decisions in 2D platform games create rich worlds of meaning for players.Since the 1980s, 2D platform games…
have captivated their audiences. Whether the player scrambles up the ladders in Donkey Kong or leaps atop an impossibly tall pipe in Super Mario Bros., this deceptively simple visual language has persisted in our cultural imagination of video games. In Run and Jump, Peter McDonald surveys the legacy of 2D platform games and examines how abstract and formal design choices have kept players playing. McDonald argues that there is a rich layer of meaning underneath, say, the quality of an avatar&’s movement, the pacing and rhythm of level design, the personalities expressed by different enemies, and the emotion elicited by collecting a coin.To understand these games, McDonald draws on technical discussions by game designers as well as theoretical work about the nature of signs from structuralist semiotics. Interspersed throughout are design exercises that show how critical interpretation can become a tool for game designers to communicate with their players. With examples drawn from over forty years of game history, and from games made by artists, hobbyists, iconic designers, and industry studios, Run and Jump presents a comprehensive—and engaging—vision of this slice of game history.