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A Deep Analysis of the Chinese Hukou System: Facts, Impacts, and Reform Paths
by Yang SongThis book explores China's hukou system, by which individuals are registered in a specific geographic region, and the prospects for reform. The history of the hukou system and its instrumental role in Chinese urbanization and labor markets is explained, and readers get a sense of what issues are prioritized by Chinese policymakers as they contemplate reform or change to this system, from hukou-based labor market discrimination, inequality of opportunity, multi-dimensional poverty of rural migrants, the public health consequences of non-hukou migration, and old age insurance for migrants without hukous. The author concludes with a stirring and practical call for hukou reform, articulating a cost-benefit model and providing an array of policy suggestions. This book will interest scholars of Chinese society, demographics and future urbanization.
A Definitive Guide to Apache ShardingSphere: Transform any DBMS into a distributed database with sharding, scaling, encryption features, and more
by Trista Pan Zhang Liang Yacine Si TayebBecome well versed with all of ShardingSphere's features for every data management need with this comprehensive guide put together by ShardingSphere's founder and core contributorsKey FeaturesUnderstand the core concepts and efficiently set up Apache ShardingSphereEnhance existing databases with sharding, elastic scaling, encryption, governance features, and moreImport and customize the ecosystem's core features for various application scenariosBook DescriptionApache ShardingSphere is a new open source ecosystem for distributed data infrastructures based on pluggability and cloud-native principles that helps enhance your database.This book begins with a quick overview of the main challenges faced by database management systems (DBMSs) in production environments, followed by a brief introduction to the software's kernel concept. After that, using real-world examples of distributed database solutions, elastic scaling, DistSQL, synthetic monitoring, database gateways, and SQL authority and user authentication, you'll fully understand ShardingSphere's architectural components, how they're configured and can be plugged into your existing infrastructure, and how to manage your data and applications. You'll also explore ShardingSphere-JDBC and ShardingSphere-Proxy, the ecosystem's clients, and how they can work either concurrently or independently to address your needs. You'll then learn how to customize the plugin platform to define personalized user strategies and manage multiple configurations seamlessly. Finally, the book enables you to get up and running with functional and performance tests for all scenarios.By the end of this book, you'll be able to build and deploy a customized version of ShardingSphere, addressing the key pain points encountered in your data management infrastructure.What you will learnAssemble a custom solution using the software's pluggable architectureDiscover how to use Database Plus features effectivelyUnderstand the difference between ShardingSphere-JDBC and ShardingSphere-ProxyGet to grips with ShardingSphere's pluggability mechanismExplore mainstream test models for databases and distributed databasesPerform migrations from an on-premise database to a cloud-based databaseReconfigure your data infrastructure and eliminate switching costsWho this book is forThis book is for database administrators working with distributed database solutions who are looking to explore the capabilities of Apache ShardingSphere. DBAs looking for more capable, flexible, and cost-effective alternatives to the solutions they're currently utilizing will also find this book helpful. To get started with this book, a basic understanding of, or even an interest in, databases, relational databases, SQL languages, cloud computing, and data management in general is needed.
A Derivative-free Two Level Random Search Method for Unconstrained Optimization (SpringerBriefs in Optimization)
by Neculai AndreiThe book is intended for graduate students and researchers in mathematics, computer science, and operational research. The book presents a new derivative-free optimization method/algorithm based on randomly generated trial points in specified domains and where the best ones are selected at each iteration by using a number of rules. This method is different from many other well established methods presented in the literature and proves to be competitive for solving many unconstrained optimization problems with different structures and complexities, with a relative large number of variables. Intensive numerical experiments with 140 unconstrained optimization problems, with up to 500 variables, have shown that this approach is efficient and robust. Structured into 4 chapters, Chapter 1 is introductory. Chapter 2 is dedicated to presenting a two level derivative-free random search method for unconstrained optimization. It is assumed that the minimizing function is continuous, lower bounded and its minimum value is known. Chapter 3 proves the convergence of the algorithm. In Chapter 4, the numerical performances of the algorithm are shown for solving 140 unconstrained optimization problems, out of which 16 are real applications. This shows that the optimization process has two phases: the reduction phase and the stalling one. Finally, the performances of the algorithm for solving a number of 30 large-scale unconstrained optimization problems up to 500 variables are presented. These numerical results show that this approach based on the two level random search method for unconstrained optimization is able to solve a large diversity of problems with different structures and complexities. There are a number of open problems which refer to the following aspects: the selection of the number of trial or the number of the local trial points, the selection of the bounds of the domains where the trial points and the local trial points are randomly generated and a criterion for initiating the line search.
A Devil's Chaplain: Selected Writings
by Prof Richard DawkinsRichard Dawkins is one of the finest minds in science, and in this superb collection of essays and letters, he demonstrates the depth of his knowledge and the rich variety of his interests. Whether he is examining postmodernism or the Human Genome Project, penning a letter to his daughter, or writing a moving eulogy to Douglas Adams and e-mailing Stephen Jay Gould, Dawkins writes with an intellectual vigour and grace that is second to none. This is a very human collection that shows not only the acuity of Dawkins' scientific mind, but also his sense of humour and the warmth of his relationships with friends and family.
A Differential Approach to Geometry: Geometric Trilogy III
by Francis BorceuxThis book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providing an integrated presentation fully accessible to undergraduate-level students. At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions, not just those constructed from polynomials. During the 18th century, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter this fascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (= the Euler-Poincaré characteristics) associated with a surface gives you a lot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry, the geometry that underlies the theory of relativity. The book is of interest to all those who teach classical differential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to "intuitively" introduce students to the highly technical nature of this branch of mathematics, in particular when preparing students for courses on relativity.
A Digital Signal Processor for Particle Detectors: Design, Verification and Testing (Springer Theses)
by Arild VelureTo cope with the new running conditions in the ALICE experiment at the Large Hadron Collider at CERN, a new integrated circuit named SAMPA has been created that can process 32 analogue channels, convert them to digital, perform filtering and compression, and transmit the data on high speed links to the data acquisition system. The main purpose of this work is to specify, design, test and verify the digital signal processing part of the SAMPA device to accommodate the requirements of the detectors involved. Innovative solutions have been employed to reduce the bandwidth required by the detectors, as well as adaptations to ease data handling later in the processing chain. The new SAMPA device was built to replace two existing circuits, in addition to reducing the current consumption, and doubling the amount of processing channels. About 50000 of the devices will be installed in the Time Projection Chamber and Muon Chamber detectors in the ALICE experiment.
A Distributed Linear Programming Models in a Smart Grid (Power Electronics and Power Systems)
by Prakash Ranganathan Kendall E. NygardThis book showcases the strengths of Linear Programming models for Cyber Physical Systems (CPS), such as the Smart Grids. Cyber-Physical Systems (CPS) consist of computational components interconnected by computer networks that monitor and control switched physical entities interconnected by physical infrastructures. A fundamental challenge in the design and analysis of CPS is the lack of understanding in formulating constraints for complex networks. We address this challenge by employing collection of Linear programming solvers that models the constraints of sub-systems and micro grids in a distributed fashion. The book can be treated as a useful resource to adaptively schedule resource transfers between nodes in a smart power grid. In addition, the feasibility conditions and constraints outlined in the book will enable in reaching optimal values that can help maintain the stability of both the computer network and the physical systems. It details the collection of optimization methods that are reliable for electric-utilities to use for resource scheduling, and optimizing their existing systems or sub-systems. The authors answer to key questions on ways to optimally allocate resources during outages, and contingency cases (e. g. , line failures, and/or circuit breaker failures), how to design de-centralized methods for carrying out tasks using decomposition models; and how to quantify un-certainty and make decisions in the event of grid failures.
A Divine Language: Learning Algebra, Geometry, and Calculus at the Edge of Old Age
by Alec WilkinsonA New York Times Book Review Editors' Choice"Wilkinson has accomplished something more moving and original, braiding his stumbling attempts to get better at math with his deepening awareness that there’s an entire universe of understanding that will, in some fundamental sense, forever lie outside his reach." —Jennifer Szalai, The New York Times "There is almost no writer I admire as much as I do Alec Wilkinson. His work has enduring brilliance and humanity.” —Susan Orlean, author of The Library Book A spirited, metaphysical exploration into math's deepest mysteries and conundrums at the crux of middle age.Decades after struggling to understand math as a boy, Alec Wilkinson decides to embark on a journey to learn it as a middle-aged man. What begins as a personal challenge—and it's challenging—soon transforms into something greater than a belabored effort to learn math. Despite his incompetence, Wilkinson encounters a universe of unexpected mysteries in his pursuit of mathematical knowledge and quickly becomes fascinated; soon, his exercise in personal growth (and torture) morphs into an intellectually expansive exploration.In A Divine Language, Wilkinson, a contributor to The New Yorker for over forty years, journeys into the heart of the divine aspect of mathematics—its mysteries, challenges, and revelations—since antiquity. As he submits himself to the lure of deep mathematics, he takes the reader through his investigations into the subject’s big questions—number theory and the creation of numbers, the debate over math’s human or otherworldly origins, problems and equations that remain unsolved after centuries, the conundrum of prime numbers. Writing with warm humor and sharp observation as he traverses practical math’s endless frustrations and rewards, Wilkinson provides an awe-inspiring account of an adventure from a land of strange sights. Part memoir, part metaphysical travel book, and part journey in self-improvement, A Divine Language is one man’s second attempt at understanding the numbers in front of him, and the world beyond.
A Double Hall Algebra Approach to Affine Quantum Schur-Weyl Theory
by Bangming Deng Jie Du Qiang FuThe theory of Schur–Weyl duality has had a profound influence over many areas of algebra and combinatorics. This text is original in two respects: it discusses affine q-Schur algebras and presents an algebraic, as opposed to geometric, approach to affine quantum Schur–Weyl theory. To begin, various algebraic structures are discussed, including double Ringel–Hall algebras of cyclic quivers and their quantum loop algebra interpretation. The rest of the book investigates the affine quantum Schur–Weyl duality on three levels. This includes the affine quantum Schur–Weyl reciprocity, the bridging role of affine q-Schur algebras between representations of the quantum loop algebras and those of the corresponding affine Hecke algebras, presentation of affine quantum Schur algebras and the realisation conjecture for the double Ringel–Hall algebra with a proof of the classical case. This text is ideal for researchers in algebra and graduate students who want to master Ringel–Hall algebras and Schur–Weyl duality.
A Dynamic Approach to Economic Theory: The Yale Lectures of Ragnar Frisch
by Ragnar FrischThis book contains a set of notes prepared by Ragnar Frisch for a lecture series that he delivered at Yale University in 1930. The lecture notes provide not only a valuable source document for the history of econometrics, but also a more systematic introduction to some of Frisch’s key methodological ideas than his other works so far published in various media for the econometrics community. In particular, these notes contain a number of prescient ideas precursory to some of the most important notions developed in econometrics during the 1970s and 1980s More remarkably, Frisch demonstrated a deep understanding of what econometric or statistical analysis could achieve under the situation where there lacked known correct theoretical models. This volume has been rigorously edited and comes with an introductory essay from Olav Bjerkholt and Duo Qin placing the notes in their historical context.
A Dynamical Perspective on the ɸ4 Model: Past, Present and Future (Nonlinear Systems and Complexity #26)
by Jesús Cuevas-Maraver Panayotis G. KevrekidisThis book presents a careful selection of the most important developments of the \phi^4 model, offering a judicious summary of this model with a view to future prospects and the challenges ahead. Over the past four decades, the \phi^4 model has been the basis for a broad array of developments in the physics and mathematics of nonlinear waves. From kinks to breathers, from continuum media to discrete lattices, from collisions of solitary waves to spectral properties, and from deterministic to stochastic models of \phi^4 (and \phi^6, \phi^8, \phi^12 variants more recently), this dynamical model has served as an excellent test bed for formulating and testing the ideas of nonlinear science and solitary waves.
A Factor Model Approach to Derivative Pricing
by James A. PrimbsWritten in a highly accessible style, A Factor Model Approach to Derivative Pricing lays a clear and structured foundation for the pricing of derivative securities based upon simple factor model related absence of arbitrage ideas. This unique and unifying approach provides for a broad treatment of topics and models, including equity, interest-rate, and credit derivatives, as well as hedging and tree-based computational methods, but without reliance on the heavy prerequisites that often accompany such topics. Key features A single fundamental absence of arbitrage relationship based on factor models is used to motivate all the results in the book A structured three-step procedure is used to guide the derivation of absence of arbitrage equations and illuminate core underlying concepts Brownian motion and Poisson process driven models are treated together, allowing for a broad and cohesive presentation of topics The final chapter provides a new approach to risk neutral pricing that introduces the topic as a seamless and natural extension of the factor model approach Whether being used as text for an intermediate level course in derivatives, or by researchers and practitioners who are seeking a better understanding of the fundamental ideas that underlie derivative pricing, readers will appreciate the book’s ability to unify many disparate topics and models under a single conceptual theme. James A Primbs is an Associate Professor of Finance at the Mihaylo College of Business and Economics at California State University, Fullerton.
A Fan's Guide to Baseball Analytics: Why WAR, WHIP, wOBA, and Other Advanced Sabermetrics Are Essential to Understanding Modern Baseball
by Anthony CastrovinceBroken up into sections (pitching, fielding, hitting), this authoritative yet fun and easy guide will help readers young and old fully understand and comprehend the statistics that are the present and future of our national pastime. We all know what a .300 hitter looks like. The same with a 20-game winner. Those numbers are ingrained in our brains. But do they mean as much as we think? Do we feel the same way when we hear a batter has a .390 wOBA? How about a pitcher with a 1.2 WHIP? These statistics are the future of modern baseball, and no fan should be in the dark about how these metrics apply to the game.In the last twenty years, an avalanche of analytics has taken over the way the game is played, managed, and assessed, but the statistics that drive the sport (metrics like wRC+, FIP, and WAR, just to name a few) read like alphabet soup to a large number of fans who still think batting average, RBIs, and wins are the best barometers for baseball players.In A Fan&’s Guide to Baseball Analytics, MLB.com reporter and columnist Anthony Castrovince has taken on the role as explainer to help such fans understand why the old stats don&’t always add up. Readers will also learn where these modern stats came from, what they convey, and how to use them to evaluate players of the present, past, and future. For instance, what if we told you that when Joe DiMaggio had his famous 56-game hitting streak in 1941, helping him win the AL MVP, that there was, perhaps, someone more deserving? In fact, the great Ted Williams actually had a higher fWAR, bWAR, wRC+, OPS, OPS+, ISO, RC . . . well, you get the picture. So, streak or no streak, Williams should have been league MVP.An introductory course on sabermetrics, A Fan&’s Guide to Baseball Analytics is an easily digestible resource that readers can keep turning back to when they see a modern metric referenced in today&’s baseball coverage.
A Feature-Centric View of Information Retrieval (The Information Retrieval Series #27)
by Donald MetzlerCommercial Web search engines such as Google, Yahoo, and Bing are used every day by millions of people across the globe. With their ever-growing refinement and usage, it has become increasingly difficult for academic researchers to keep up with the collection sizes and other critical research issues related to Web search, which has created a divide between the information retrieval research being done within academia and industry. Such large collections pose a new set of challenges for information retrieval researchers. In this work, Metzler describes highly effective information retrieval models for both smaller, classical data sets, and larger Web collections. In a shift away from heuristic, hand-tuned ranking functions and complex probabilistic models, he presents feature-based retrieval models. The Markov random field model he details goes beyond the traditional yet ill-suited bag of words assumption in two ways. First, the model can easily exploit various types of dependencies that exist between query terms, eliminating the term independence assumption that often accompanies bag of words models. Second, arbitrary textual or non-textual features can be used within the model. As he shows, combining term dependencies and arbitrary features results in a very robust, powerful retrieval model. In addition, he describes several extensions, such as an automatic feature selection algorithm and a query expansion framework. The resulting model and extensions provide a flexible framework for highly effective retrieval across a wide range of tasks and data sets. A Feature-Centric View of Information Retrieval provides graduate students, as well as academic and industrial researchers in the fields of information retrieval and Web search with a modern perspective on information retrieval modeling and Web searches.
A Few Things I Know About Her: A Personally Machine Learning Inspired Approach to Understand Surrounding Nature (Intelligent Systems Reference Library #219)
by Bruno ApolloniThis book reconsiders key issues, such as description and explanation, which affect data analytics. For starters: the soul does not exist. Once released from this cumbersome roommate, we are left with complex biological systems: namely, ourselves, who must configure their environment in terms of worlds that are compatible with what they sense. Far from supplying yet another cosmogony, the book provides the cultivated reader with computational tools for describing and understanding data arising from his surroundings, such as climate parameters or stock market trends, even the win/defeat story of his son football team. Besides the superposition of the very many universes considered by quantum mechanics, we aim to manage families of worlds that may have generated those data through the key feature of their compatibility. Starting from a sharp engineering of ourselves in term of pairs consisting of genome plus a neuron ensemble, we toss this feature in different cognitive frameworks within a span of exploitations ranging from probability distributions to the latest implementations of machine learning. From the perspective of human society as an ensemble of the above pairs, the book also provides scientific tools for analyzing the benefits and drawbacks of the modern paradigm of the world as a service.
A Field Guide to Lies: Critical Thinking in the Information Age
by Daniel J. LevitinFrom The New York Times bestselling author of THE ORGANIZED MIND and THIS IS YOUR BRAIN ON MUSIC, a primer to the critical thinking that is more necessary now than ever. We are bombarded with more information each day than our brains can process--especially in election season. It's raining bad data, half-truths, and even outright lies. New York Times bestselling author Daniel J. Levitin shows how to recognize misleading announcements, statistics, graphs, and written reports revealing the ways lying weasels can use them. It's becoming harder to separate the wheat from the digital chaff. How do we distinguish misinformation, pseudo-facts, distortions, and outright lies from reliable information? Levitin groups his field guide into two categories--statistical infomation and faulty arguments--ultimately showing how science is the bedrock of critical thinking. Infoliteracy means understanding that there are hierarchies of source quality and bias that variously distort our information feeds via every media channel, including social media. We may expect newspapers, bloggers, the government, and Wikipedia to be factually and logically correct, but they so often aren't. We need to think critically about the words and numbers we encounter if we want to be successful at work, at play, and in making the most of our lives. This means checking the plausibility and reasoning--not passively accepting information, repeating it, and making decisions based on it. Readers learn to avoid the extremes of passive gullibility and cynical rejection. Levitin's charming, entertaining, accessible guide can help anyone wake up to a whole lot of things that aren't so. And catch some lying weasels in their tracks!
A Field Guide to Lies: Critical Thinking with Statistics and the Scientific Method
by Daniel J. LevitinWinner of the National Business Book AwardFrom the New York Times bestselling author of The Organized Mind and This Is Your Brain on Music, a primer to the critical thinking that is more necessary now than ever We are bombarded with more information each day than our brains can process—especially in election season. It's raining bad data, half-truths, and even outright lies. New York Times bestselling author Daniel J. Levitin shows how to recognize misleading announcements, statistics, graphs, and written reports, revealing the ways lying weasels can use them. It's becoming harder to separate the wheat from the digital chaff. How do we distinguish misinformation, pseudo-facts, and distortions from reliable information? Levitin groups his field guide into two categories—statistical information and faulty arguments—ultimately showing how science is the bedrock of critical thinking. Infoliteracy means understanding that there are hierarchies of source quality and bias that variously distort our information feeds via every media channel, including social media. We may expect newspapers, bloggers, the government, and Wikipedia to be factually and logically correct, but they so often aren't. We need to think critically about the words and numbers we encounter if we want to be successful at work, at play, and in making the most of our lives. This means checking the plausibility and reasoning—not passively accepting information, repeating it, and making decisions based on it. Readers learn to avoid the extremes of passive gullibility and cynical rejection. Levitin's charming, entertaining, accessible guide can help anyone wake up to a whole lot of things that aren't so. And catch some weasels in their tracks!
A Finite Element Approach for Wave Propagation in Elastic Solids (Lecture Notes on Numerical Methods in Engineering and Sciences)
by Arkadiusz ŻakThis book focuses on wave propagation phenomena in elastic solids modelled by the use of the finite element method. Although the latter is a well-established and popular numerical tool used by engineers and researchers all around the word the process of modelling of wave propagation can still be a challenge. The book introduces a reader to the problem by presenting a historical background and offering a broad perspective on the development of modern science and numerical methods. The principles of wave phenomena are clearly presented to the reader as well as the necessary background for understanding the finite element method, which is the following chapter of the book is viewed from the modeller point-of-view. Apart from the principles the book also addresses more advanced topics and problems including the use of the spectral-finite element method, the spline-based finite element method as well as the problems of undesired and hidden properties of discrete numerical models.
A Finite Element Primer for Beginners: The Basics (SpringerBriefs in Applied Sciences and Technology)
by Tarek I. ZohdiThe purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are: (1) Weighted residual methods and Galerkin approximations, (2) A model problem for one-dimensional linear elastostatics, (3) Weak formulations in one dimension, (4) Minimum principles in one dimension, (5) Error estimation in one dimension, (5) Construction of Finite Element basis functions in one dimension, (6) Gaussian Quadrature, (7) Iterative solvers and element by element data structures, (8) A model problem for three-dimensional linear elastostatics, (9) Weak formulations in three dimensions, (10) Basic rules for element construction in three-dimensions, (11) Assembly of the system and solution schemes, (12) Assembly of the system and solution schemes, (13) An introduction to time-dependent problems and (14) A brief introduction to rapid computation based on domain decomposition and basic parallel processing.
A Finite Element Primer for Beginners: The Basics (SpringerBriefs in Applied Sciences and Technology)
by Tarek I. ZohdiThe purpose of this primer is to provide the basics of the Finite Element Method, primarily illustrated through a classical model problem, linearized elasticity. The topics covered are: (1) Weighted residual methods and Galerkin approximations, (2) A model problem for one-dimensional linear elastostatics, (3) Weak formulations in one dimension, (4) Minimum principles in one dimension, (5) Error estimation in one dimension, (5) Construction of Finite Element basis functions in one dimension, (6) Gaussian Quadrature, (7) Iterative solvers and element by element data structures, (8) A model problem for three-dimensional linear elastostatics, (9) Weak formulations in three dimensions, (10) Basic rules for element construction in three-dimensions, (11) Assembly of the system and solution schemes, (12) Assembly of the system and solution schemes, (13) An introduction to time-dependent problems and (14) A brief introduction to rapid computation based on domain decomposition and basic parallel processing.
A First Book of Counting (Dinosaur Playhouse)
by Aj WoodYour children's -firsts- will be fun and informative when they discover Dinosaur Playhouse books -- an imaginative, thought-provoking series for beginning readers.
A First Course In Chaotic Dynamical Systems: Theory And Experiment
by Robert L. DevaneyA First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition The long-anticipated revision of this well-liked textbook offers many new additions. In the twenty-five years since the original version of this book was published, much has happened in dynamical systems. Mandelbrot and Julia sets were barely ten years old when the first edition appeared, and most of the research involving these objects then centered around iterations of quadratic functions. This research has expanded to include all sorts of different types of functions, including higher-degree polynomials, rational maps, exponential and trigonometric functions, and many others. Several new sections in this edition are devoted to these topics. The area of dynamical systems covered in A First Course in Chaotic Dynamical Systems: Theory and Experiment, Second Edition is quite accessible to students and also offers a wide variety of interesting open questions for students at the undergraduate level to pursue. The only prerequisite for students is a one-year calculus course (no differential equations required); students will easily be exposed to many interesting areas of current research. This course can also serve as a bridge between the low-level, often non-rigorous calculus courses, and the more demanding higher-level mathematics courses. Features More extensive coverage of fractals, including objects like the Sierpinski carpet and othersthat appear as Julia sets in the later sections on complex dynamics, as well as an actualchaos "game." More detailed coverage of complex dynamical systems like the quadratic familyand the exponential maps. New sections on other complex dynamical systems like rational maps. A number of new and expanded computer experiments for students to perform. About the Author Robert L. Devaney is currently professor of mathematics at Boston University. He received his PhD from the University of California at Berkeley under the direction of Stephen Smale. He taught at Northwestern University and Tufts University before coming to Boston University in 1980. His main area of research is dynamical systems, primarily complex analytic dynamics, but also including more general ideas about chaotic dynamical systems. Lately, he has become intrigued with the incredibly rich topological aspects of dynamics, including such things as indecomposable continua, Sierpinski curves, and Cantor bouquets.
A First Course In Chaotic Dynamical Systems: Theory And Experiment (Studies In Nonlinearity Ser.)
by Robert L. DevaneyA First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as a gradual introduction to the basic mathematical ideas behind such topics as chaos, fractals, Newton's method, symbolic dynamics, the Julia set, and the Mandelbrot set, and includes biographies of some of the leading researchers in the field of dynamical systems. Mathematical and computer experiments are integrated throughout the text to help illustrate the meaning of the theorems presented. Chaotic Dynamical Systems Software, Labs 1-6 is a supplementary labouratory software package, available separately, that allows a more intuitive understanding of the mathematics behind dynamical systems theory. Combined with A First Course in Chaotic Dynamical Systems , it leads to a rich understanding of this emerging field.
A First Course In Differential Equations With Modeling Applications
by Dennis G. ZillStraightforward and easy to read, A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 11th Edition, gives you a thorough overview of the topics typically taught in a first course in differential equations. Your study of differential equations and its applications will be supported by a bounty of pedagogical aids, including an abundance of examples, explanations, ""Remarks"" boxes, definitions, and more.
A First Course In Probability
by Sheldon M. RossThis market-leading introduction to probability features exceptionally clear explanations of the mathematics of probability theory and explores its many diverse applications through numerous interesting and motivational examples. The outstanding problem sets are a hallmark feature of this book. Provides clear, complete explanations to fully explain mathematical concepts. Features subsections on the probabilistic method and the maximum-minimums identity. Includes many new examples relating to DNA matching, utility, finance, and applications of the probabilistic method. Features an intuitive treatment of probability—intuitive explanations follow many examples. The Probability Models Disk included with each copy of the book, contains six probability models that are referenced in the book and allow readers to quickly and easily perform calculations and simulations.