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The Three-Body Problem and the Equations of Dynamics
by Henri Poincaré Bruce D PoppHere is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations’ solutions, such as orbital resonances and horseshoe orbits. Poincaré wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.
The Time Machine Hypothesis: Extreme Science Meets Science Fiction (Science and Fiction)
by Damien BroderickEvery age has characteristic inventions that change the world. In the 19th century it was the steam engine and the train. For the 20th, electric and gasoline power, aircraft, nuclear weapons, even ventures into space. Today, the planet is awash with electronic business, chatter and virtual-reality entertainment so brilliant that the division between real and simulated is hard to discern. But one new idea from the 19th century has failed, so far, to enter reality—time travel, using machines to turn the time dimension into a two-way highway. Will it come true, as foreseen in science fiction? Might we expect visits to and from the future, sooner than from space? That is the Time Machine Hypothesis, examined here by futurist Damien Broderick, an award-winning writer and theorist of the genre of the future. Broderick homes in on the topic through the lens of science as well as fiction, exploring some fifty different time-travel scenarios and conundrums found in the science fiction literature and film.
The Times Machine!: Learn Multiplication and Division. . . Like, Yesterday!
by Danica McKellarLearn at home with help from The Wonder Years/Hallmark actress, math whiz, and New York Times bestselling author Danica McKellar using her acclaimed McKellar Math books! A revolutionary and FUN way for 2nd to 5th graders to memorize multiplication facts outside of the classroom is finally here!Join Mr. Mouse and Ms. Squirrel and experience an entirely new way of memorizing multiplication facts. Using colorful stories, silly rhymes, and more, Danica McKellar helps to break down the rules of multiplication and to translate many of the (often confusing!) multiplication and division methods taught in today's classrooms. This lively "times" travel adventure is a lifesaver for frustrated kids and parents everywhere and a great way to "zero out" worries about homework and tests. If Mr. Mouse can learn to have fun with math, anyone can!
The Tiny Traveler: A Book of Numbers
by Misti KenisonHow many gondolas float down the canal? Can you count the number of masks at Carnival? Toddlers will answer these questions and more in this new book from Misti Kenison in her Tiny Traveler series. Travel from Rome to Venice as you and your little one count your way through Italy’s most famous landmarks. From one leaning tower to seven fresh pizzas coming out of the oven, you’ll catch the travel bug while teaching children the basics of counting!The fourth book in Kenison’s Tiny Traveler board book series will exposure your child to another country and culture while teaching him or her the basic concept of counting and numbers. So sit back and explore the world with your little one from your very own living room. Traveling to foreign places has never been so fun, or educational, for young children before!A wonderful series for young toddlers (0 to 2 years), this book teaches the basic concept of numbers and counting. Can be used at home or in a childcare facility to teach basic concepts.
The Tipping Point: How Little Things Can Make a Big Difference
by Malcolm Gladwell'A wonderful page-turner about a fascinating idea that should affect the way every thinking person thinks about the world around him' Michael LewisIn this brilliant and original book, Malcolm Gladwell explains and analyses the 'tipping point', that magic moment when ideas, trends and social behaviour cross a threshold, tip and spread like wildfire. Taking a look behind the surface of many familiar occurrences in our everyday world, Gladwell explains the fascinating social dynamics that cause rapid change.'Hip and hopeful, THE TIPPING POINT is like the idea it describes: concise, elegant but packed with social power. A book for anyone who cares about how society works and how we can make it better' George Stephanopoulos
The Tipping Point: How Little Things Can Make a Big Difference
by Malcolm Gladwell'A wonderful page-turner about a fascinating idea that should affect the way every thinking person thinks about the world around him' Michael LewisIn this brilliant and original book, Malcolm Gladwell explains and analyses the 'tipping point', that magic moment when ideas, trends and social behaviour cross a threshold, tip and spread like wildfire. Taking a look behind the surface of many familiar occurrences in our everyday world, Gladwell explains the fascinating social dynamics that cause rapid change.'Hip and hopeful, THE TIPPING POINT is like the idea it describes: concise, elegant but packed with social power. A book for anyone who cares about how society works and how we can make it better' George Stephanopoulos
The Tipping Point: How Little Things Can Make a Big Difference
by Malcolm Gladwell'A wonderful page-turner about a fascinating idea that should affect the way every thinking person thinks about the world around him' Michael LewisIn this brilliant and original book, Malcolm Gladwell explains and analyses the 'tipping point', that magic moment when ideas, trends and social behaviour cross a threshold, tip and spread like wildfire. Taking a look behind the surface of many familiar occurrences in our everyday world, Gladwell explains the fascinating social dynamics that cause rapid change.'Hip and hopeful, THE TIPPING POINT is like the idea it describes: concise, elegant but packed with social power. A book for anyone who cares about how society works and how we can make it better' George Stephanopoulos
The Tomato Genome
by Mathilde Causse Mondher Bouzayen Jim Giovannoni Mohamed ZouineThis book describes the strategy used for sequencing, assembling and annotating the tomato genome and presents the main characteristics of this sequence with a special focus on repeated sequences and the ancestral polyploidy events. It also includes the chloroplast and mitochondrial genomes. Tomato (Solanum lycopersicum) is a major crop plant as well as a model for fruit development, and the availability of the genome sequence has completely changed the paradigm of the species' genetics and genomics. The book describes the numerous genetic and genomic resources available, the identified genes and quantitative trait locus (QTL) identified, as well as the strong synteny across Solanaceae species. Lastly, it discusses the consequences of the availability of a high-quality genome sequence of the cultivated species for the research community. It is a valuable resource for students and researchers interested in the genetics and genomics of tomato and Solanaceae.
The Top Ten Algorithms in Data Mining (Chapman & Hall/CRC Data Mining and Knowledge Discovery Series)
by Vipin Kumar Xindong WuIdentifying some of the most influential algorithms that are widely used in the data mining community, The Top Ten Algorithms in Data Mining provides a description of each algorithm, discusses its impact, and reviews current and future research. Thoroughly evaluated by independent reviewers, each chapter focuses on a particular algorithm and is wri
The Topological Imagination: Spheres, Edges, and Islands
by Angus FletcherIn a bold and boundary defining work, Angus Fletcher clears a space for an intellectual encounter with the shape of human imagining. Joining literature and topology—a branch of mathematics—he maps the ways the imagination’s contours are formed by the spherical earth’s patterns and cycles, and shows how the world we inhabit also inhabits us.
The Topology of Chaos: Alice in Stretch and Squeezeland
by Robert Gilmore Marc LefrancA highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems. <P><P>The authors provide a deep understanding of the structure of strange attractors, how they are classified, and how the information required to identify and classify a strange attractor can be extracted from experimental data. In its first edition, the Topology of Chaos has been a valuable resource for physicist and mathematicians interested in the topological analysis of dynamical systems. Since its publication in 2002, important theoretical and experimental advances have put the topological analysis program on a firmer basis. This second edition includes relevant results and connects the material to other recent developments. Following significant improvements will be included: * A gentler introduction to the topological analysis of chaotic systems for the non expert which introduces the problems and questions that one commonly encounters when observing a chaotic dynamics and which are well addressed by a topological approach: existence of unstable periodic orbits, bifurcation sequences, multistability etc. * A new chapter is devoted to bounding tori which are essential for achieving generality as well as for understanding the influence of boundary conditions. * The new edition also reflects the progress which had been made towards extending topological analysis to higher-dimensional systems by proposing a new formalism where evolving triangulations replace braids. * There has also been much progress in the understanding of what is a good representation of a chaotic system, and therefore a new chapter is devoted to embeddings. * The chapter on topological analysis program will be expanded to cover traditional measures of chaos. This will help to connect those readers who are familiar with those measures and tests to the more sophisticated methodologies discussed in detail in this book. * The addition of the Appendix with both frequently asked and open questions with answers gathers the most essential points readers should keep in mind and guides to corresponding sections in the book. This will be of great help to those who want to selectively dive into the book and its treatments rather than reading it cover to cover. What makes this book special is its attempt to classify real physical systems (e.g. lasers) using topological techniques applied to real date (e.g. time series). Hence it has become the experimenter?s guidebook to reliable and sophisticated studies of experimental data for comparison with candidate relevant theoretical models, inevitable to physicists, mathematicians, and engineers studying low-dimensional chaotic systems.
The Trade Impact of European Union Preferential Policies
by Luca De Benedictis Luca SalvaticiThe book investigates the EU preferential trade policy and, in particular, the impact it had on trade flows from developing countries. It shows that the capability of the "trade as aid" model to deliver its expected benefits to these countries crucially differs between preferential schemes and sectors. The book takes an eclectic but rigorous approach to the econometric analysis by combining different specifications of the gravity model. An in-depth presentation of the gravity model is also included, providing significant insights into the distinctive features of this technique and its state-of-art implementation. The evidence produced in the book is extensively applied to the analysis of the EU preferential policies with substantial suggestions for future improvement. Additional electronic material to replicate the book's analysis (datasets and Gams and Stata 9.0 routines) can be found in the Extra Materials menu on the website of the book.
The Traffic Assignment Problem: Models and Methods
by Michael PatrikssonThis monograph provides both a unified account of the development of models and methods for the problem of estimating equilibrium traffic flows in urban areas and a survey of the scope and limitations of present traffic models. The development is described and analyzed by the use of the powerful instruments of nonlinear optimization and mathematical programming within the field of operations research. The first part is devoted to mathematical models for the analysis of transportation network equilibria; the second deals with methods for traffic equilibrium problems. This title will interest readers wishing to extend their knowledge of equilibrium modeling and analysis and of the foundations of efficient optimization methods adapted for the solution of large-scale models. In addition to its value to researchers, the treatment is suitable for advanced graduate courses in transportation, operations research, and quantitative economics.
The Transformation of Mathematics in the Early Mediterranean World: From Problems to Equations
by Reviel NetzThe transformation of mathematics from its ancient Greek practice to its development in the medieval Arab-speaking world is approached by focusing on a single problem proposed by Archimedes and the many solutions offered. From a practice of mathematics based on the localized solution (originating in the polemical practices of early Greek science), we see a transition to a practice of mathematics based on the systematic approach (grounded in the deuteronomic practices of Late Antiquity and the Middle Ages). A radically new interpretation is accordingly offered of the historical trajectory of pre-modern mathematics.
The Transition to Chaos: Conservative Classical and Quantum Systems (Fundamental Theories of Physics #200)
by Linda ReichlBased on courses given at the universities of Texas and California, this book treats an active field of research that touches upon the foundations of physics and chemistry. It presents, in as simple a manner as possible, the basic mechanisms that determine the dynamical evolution of both classical and quantum systems in sufficient generality to include quantum phenomena. The book begins with a discussion of Noether's theorem, integrability, KAM theory, and a definition of chaotic behavior; continues with a detailed discussion of area-preserving maps, integrable quantum systems, spectral properties, path integrals, and periodically driven systems; and concludes by showing how to apply the ideas to stochastic systems. The presentation is complete and self-contained; appendices provide much of the needed mathematical background, and there are extensive references to the current literature; while problems at the ends of chapters help students clarify their understanding. This new edition has an updated presentation throughout, and a new chapter on open quantum systems.
The Traveling Salesman Problem: A Computational Study (Princeton Series in Applied Mathematics #17)
by William J. Cook Robert E. Bixby David L. Applegate Vašek ChvátalThis book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home to where you began. Though seemingly modest, this exercise has inspired studies by mathematicians, chemists, and physicists. Teachers use it in the classroom. It has practical applications in genetics, telecommunications, and neuroscience. The authors of this book are the same pioneers who for nearly two decades have led the investigation into the traveling salesman problem. They have derived solutions to almost eighty-six thousand cities, yet a general solution to the problem has yet to be discovered. Here they describe the method and computer code they used to solve a broad range of large-scale problems, and along the way they demonstrate the interplay of applied mathematics with increasingly powerful computing platforms. They also give the fascinating history of the problem--how it developed, and why it continues to intrigue us.
The Traveling Salesman Problem: Optimization with the Attractor-Based Search System (Synthesis Lectures on Operations Research and Applications)
by Weiqi LiThis book presents a new search paradigm for solving the Traveling Salesman Problem (TSP). The intrinsic difficulty of the TSP is associated with the combinatorial explosion of potential solutions in the solution space. The author introduces the idea of using the attractor concept in dynamical systems theory to reduce the search space for exhaustive search for the TSP. Numerous examples are used to describe how to use this new search algorithm to solve the TSP and its variants including: multi-objective TSP, dynamic TSP, and probabilistic TSP. This book is intended for readers in the field of optimization research and application.
The Triangle (Surprising Shapes)
by Patricia Smeltzer Victor SmeltzerA series of "fun" books to give young children a basic idea of shapes, sizes and colours.
The Triangle Secret: The Math Kids (Book 6) (The Math Kids)
by David ColeWhen FBI Special Agent Carlson is kidnapped while investigating the plane crash of Willard Howell, an eccentric billionaire inventor, the Math Kids spring into action. If Catherine, Stephanie, Justin, and Jordan can figure out the Great Triangle mentioned in Howell's will, they might just uncover who's behind the crash and Agent Carlson's kidnapping—if they don't get caught themselves! The Math Kids: The Triangle Secret is the sixth book in the Math Kids series.
The Triumph of Numbers: How Counting Shaped Modern Life
by I. Bernard CohenFrom the pyramids to mortality tables, Galileo to Florence Nightingale, a vibrant history of numbers and the birth of statistics. The great historian of science I. B. Cohen explores how numbers have come to assume a leading role in science, in the operations and structure of government, in marketing, and in many other aspects of daily life. Consulting and collecting numbers has been a feature of human affairs since antiquity--taxes, head counts for military service--but not until the Scientific Revolution in the twelfth century did social numbers such as births, deaths, and marriages begin to be analyzed. Cohen shines a new light on familiar figures such as Thomas Jefferson, Benjamin Franklin, and Charles Dickens; and he reveals Florence Nightingale to be a passionate statistician. Cohen has left us with an engaging and accessible history of numbers, an appreciation of the essential nature of statistics.
The Troika of Adult Learners, Lifelong Learning, and Mathematics
by Katherine Safford-Ramus Pradeep Kumar Misra Terry MaguireThis book presents a synopsis of six emerging themes in adult mathematics/numeracy and a critical discussion of recent developments in terms of policies, provisions, and the emerging challenges, paradoxes and tensions. It also offers an extensive review of the literature adult mathematics education. Why do adults want to learn mathematics? Did they enjoy mathematics at school so much that they want to continue? NO! Most of these adults have to learn mathematics because it is part of a formal qualification they need, because their job demands the ability to apply mathematics, or because they need basic numeracy in their daily lives. Lastly, the authors discuss five potential strategies to promote lifelong learning of mathematics among adult learners.
The Trouble with Maths: A Practical Guide to Helping Learners with Numeracy Difficulties
by Steve ChinnNow in its fourth edition, with updates to reflect developments in our understanding of learning difficulties in maths, this award-winning text provides vital, pragmatic insights into the often-confusing world of numeracy. By looking at learning difficulties in maths and dyscalculia from several perspectives, for example, the vocabulary and language of maths, cognitive style and the demands of individual procedures, this book provides a complete overview of the most frequently occurring problems associated with maths teaching and learning. Drawing on tried-and-tested methods based on research and Steve Chinn’s decades of classroom experience, it provides an authoritative yet accessible one-stop classroom resource. Combining advice, guidance and practical activities, this user-friendly guide will help you to: develop flexible cognitive styles use alternative strategies to replace an over-reliance on rote-learning for pupils trying to access basic facts understand the implications of underlying skills, such as working memory, on learning implement effective pre-emptive measures before demotivation sets in recognise the manifestations of maths anxiety and tackle affective domain problems find approaches to solve word problems select appropriate materials and visual images to enhance understanding. With useful features such as checklists for the evaluation of books and an overview of resources, this book will equip you with essential skills to help you tackle your pupils’ maths difficulties and improve standards for all learners. This book will be useful for all teachers, classroom assistants, learning support assistants and parents.
The Trouble with Maths: A practical guide to helping learners with numeracy difficulties
by Steve ChinnNow in third edition, with updates to reflect developments in our understanding of learning difficulties in maths, this award-winning text provides vital insights into the often confusing world of numeracy. By looking at learning difficulties in maths and dyscalculia from several perspectives, including the vocabulary and language of maths, thinking styles and the demands of individual procedures, this book provides a complete overview of the most frequently occurring problems associated with maths teaching and learning. Drawing on tried-and-tested methods based on research and Steve Chinn’s years of classroom experience, it provides an authoritative yet accessible one-stop classroom resource. Combining advice, guidance and practical activities, this user-friendly guide will help you to: develop flexible thinking styles use alternative strategies to replace an over-reliance on rote learning for pupils trying to access basic facts understand the implications of underlying skills, such as working memory, on learning implement effective pre-emptive measures before demotivation sets in recognise the manifestations of maths anxiety and tackle affective domain problems find approaches to solve word problems select appropriate materials and visual images to enhance understanding. With useful features such as checklists for the evaluation of books and a comprehensive overview of resources, this book will equip you with essential skills to help you tackle your pupils’ maths difficulties and improve standards. This book will be useful for all teachers, classroom assistants, learning support assistants and parents.
The Truth Detective: How to make sense of a world that doesn't add up
by Tim Harford'Tim Harford is peerless at making sense of a complicated world and our place within it. This is a book that all children should read' - Matthew Syed-> Did you know that a toy spaceship can teach you about inflation?-> Or that a pooping cow can show you how to invest your pocket money?-> And that even the greatest detectives have been fooled by fake news and dancing fairies?The world is often full of bamboozling headlines and numbers that don't add up. But don't panic. Within these pages you will transform into a Truth Detective, hunting down the truth about the world around you. You will meet heroic truth detectives, such as Florence Nightingale who started a revolution with a pie chart. You will encounter dastardly villains who have tried to trip us up with dodgy data and misinformation. And you will learn how being smart and savvy with numbers, will help you be smart and savvy about everything else in life too.So grab your detective cap, pick up your magnifying glass and start seeing the world like never before.A must read for curious kids from presenter of BBC Radio 4's "More or Less", Tim Harford and with wonderful illustrations to enjoy by Ollie Mann.
The Truth Detective: How to make sense of a world that doesn't add up
by Tim Harford'Tim Harford is peerless at making sense of a complicated world and our place within it. This is a book that all children should read' - Matthew Syed-> Did you know that a toy spaceship can teach you about inflation?-> Or that a pooping cow can show you how to invest your pocket money?-> And that even the greatest detectives have been fooled by fake news and dancing fairies?The world is often full of bamboozling headlines and numbers that don't add up. But don't panic. Within these pages you will transform into a Truth Detective, hunting down the truth about the world around you. You will meet heroic truth detectives, such as Florence Nightingale who started a revolution with a pie chart. You will encounter dastardly villains who have tried to trip us up with dodgy data and misinformation. And you will learn how being smart and savvy with numbers, will help you be smart and savvy about everything else in life too.So grab your detective cap, pick up your magnifying glass and start seeing the world like never before.A must read for curious kids from presenter of BBC Radio 4's "More or Less", Tim Harford and with wonderful illustrations to enjoy by Ollie Mann.