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The Language Lover's Puzzle Book: A World Tour Of Languages And Alphabets In 100 Amazing Puzzles (Alex Bellos Puzzle Books #0)
by Alex Bellos100 wonder-filled word puzzles that thrill and tantalize with the beauty, magic, and weirdness of world language Whether you’re a crossword solver, cryptogram fan, Scrabble addict, or Sudoku savant, The Language Lover’s Puzzle Book is guaranteed to tease your brain and twist your tongue. Puzzle master Alex Bellos begins in Japan, where we can observe some curious counting: boru niko = two balls tsuna nihon = two ropes uma nito = two horses kami nimai = two sheets of paper ashi gohon = five legs ringo goko = five apples sara gomai = five plates kaba goto = five hippos Now, how do the Japanese say “nine cucumbers”?* a) kyuri kyuhon b) kyuri kyuko c) kyuri kyuhiki d) kyuri kyuto Bellos finds the intrigue—and the human element—in a dizzying array of ancient, modern, and even invented tongues, from hieroglyphs to Blissymbolics, Danish to Dothraki. Filled with unusual alphabets, fascinating characters, and intriguing local customs for time-telling, naming children, and more, this is a bravura book of brainteasers and beyond—it’s a globe-trotting, time-traveling celebration of language. *The word endings depend on shape: Flat things end in -mai and spherical things end in -ko. Cucumbers are long things (like ropes and legs), so they end in -hon. The answer is (a)!
The Language Phenomenon
by K. Smith P. M. BinderThis volume contains a contemporary, integrated description of the processes of language. These range from fast scales (fractions of a second) to slow ones (over a million years). The contributors, all experts in their fields, address language in the brain, production of sentences and dialogues, language learning, transmission and evolutionary processes that happen over centuries or millenia, the relation between language and genes, the origins of language, self-organization, and language competition and death. The book as a whole will help to show how processes at different scales affect each other, thus presenting language as a dynamic, complex and profoundly human phenomenon.
The Language of Algebra: Equations, Tables, and Graphs, Student Guide
by McGraw-HillMathScape(TM): Seeing and Thinking Mathematically is an NSF funded standards based program. This unique comprehensive curriculum encourages students to learn mathematics by doing mathematics, by using and connecting mathematical ideas, and by actively increasing their understanding. MathScape(TM): Seeing and Thinking Mathematically is one of four middle school programs to receive a satisfactory rating from the American Association for the Advancement of Science (AAAS).
The Language of Mathematics
by Robert L. BaberA new and unique way of understanding the translation of concepts and natural language into mathematical expressionsTransforming a body of text into corresponding mathematical expressions and models is traditionally viewed and taught as a mathematical problem; it is also a task that most find difficult. The Language of Mathematics: Utilizing Math in Practice reveals a new way to view this process--not as a mathematical problem, but as a translation, or language, problem. By presenting the language of mathematics explicitly and systematically, this book helps readers to learn mathematics¿and improve their ability to apply mathematics more efficiently and effectively to practical problems in their own work.Using parts of speech to identify variables and functions in a mathematical model is a new approach, as is the insight that examining aspects of grammar is highly useful when formulating a corresponding mathematical model. This book identifies the basic elements of the language of mathematics, such as values, variables, and functions, while presenting the grammatical rules for combining them into expressions and other structures. The author describes and defines different notational forms for expressions, and also identifies the relationships between parts of speech and other grammatical elements in English and components of expressions in the language of mathematics. Extensive examples are used throughout that cover a wide range of real-world problems and feature diagrams and tables to facilitate understanding.The Language of Mathematics is a thought-provoking book of interest for readers who would like to learn more about the linguistic nature and aspects of mathematical notation. The book also serves as a valuable supplement for engineers, technicians, managers, and consultants who would like to improve their ability to apply mathematics effectively, systematically, and efficiently to practical problems.
The Language of Mathematics: The Stories behind the Symbols
by Raúl RojasA marvelous compendium of mathematical symbols and their fascinating historiesGalileo famously wrote that the book of nature is written in mathematical language. The Language of Mathematics is a wide-ranging and beautifully illustrated collection of short, colorful histories of the most commonly used symbols in mathematics, providing readers with an engaging introduction to the origins, evolution, and conceptual meaning of each one.In dozens of lively and informative entries, Raúl Rojas shows how today&’s mathematics stands on the shoulders of giants, mathematicians from around the world who developed mathematical notation through centuries of collective effort. He tells the stories of such figures as al-Khwārizmī, René Descartes, Joseph-Louis Lagrange, Carl Friedrich Gauss, Augustin-Louis Cauchy, Karl Weierstrass, Sofia Kovalevskaya, David Hilbert, and Kenneth Iverson. Topics range from numbers and variables to sets and functions, constants, and combinatorics. Rojas describes the mathematical problems associated with different symbols and reveals how mathematical notation has sometimes been an accidental process. The entries are self-contained and can be read in any order, each one examining one or two symbols, their history, and the variants they may have had over time.An essential companion for math enthusiasts, The Language of Mathematics shows how mathematics is a living and evolving entity, forever searching for the best symbolism to express relationships between abstract concepts and to convey meaning.
The Laplace Equation
by Dagmar MedkováThis book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and mixed problems. It also examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces and in the sense of non-tangential limit. It also explains relations between different solutions. The book has been written in a way that makes it as readable as possible for a wide mathematical audience, and includes all the fundamental definitions and propositions from other fields of mathematics. This book is of interest to research students, as well as experts in partial differential equations and numerical analysis.
The Large Flux Problem to the Navier-Stokes Equations: Global Strong Solutions in Cylindrical Domains (Advances in Mathematical Fluid Mechanics)
by Joanna Rencławowicz Wojciech M. ZajączkowskiThis monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux. To accomplish this, some assumptions are necessary: The flux is close to homogeneous, and the initial velocity and the external force do not change too much along the axis of the cylinder. This is achieved by utilizing a sophisticated method of deriving energy type estimates for weak solutions and global estimates for regular solutions—an approach that is wholly unique within the existing literature on the Navier-Stokes equations. To demonstrate these results, three main steps are followed: first, the existence of weak solutions is shown; next, the conditions guaranteeing the regularity of weak solutions are presented; and, lastly, global regular solutions are proven. This volume is ideal for mathematicians whose work involves the Navier-Stokes equations, and, more broadly, researchers studying fluid mechanics.
The Large Hadron Collider
by Martin BeechIt may at first seem that the world of subatomic physics is far removed from our every day lives. Isn't it all just a waste of time and taxpayers' money? Hopefully, all who read this book will come to a different conclusion. Collider physics is all about our origins, and this aspect alone makes it worthy of our very best attention. The experiments conducted within the vast collider chambers are at the forefront of humanity's quest to unweave the great tapestry that is the universe. Everything is connected. Within the macrocosm is the microcosm. By knowing how matter is structured, how atoms and elementary particles interact, and what forces control the interactions between the particles, we discover further clues as to why the universe is the way it is, and we uncover glimpses of how everything came into being. The Large Hadron Collider (LHC), in the process of coming online at CERN, is the world's largest and most complex machine. It represents the pinnacle of human ingenuity, and its physical characteristics, costs, and workings astound us at every turn. We are literally humbled by the machine that has been produced through a grand international collaboration of scientists. This book is about what those scientists hope to discover with the LHC, for hopes do run high, and there is much at stake. Careers, reputations and prestigious science prizes will be realized, and possibly lost, in the wake of the results that the LHC will produce. And there are risks, real and imagined. The LHC will probe the very fabric of matter and it will help us understand the very weft and the weave of the universe.
The Last Man in Russia: The Struggle to Save a Dying Nation
by Oliver BulloughRussia is dying from within. Oligarchs and oil barons may still dominate international news coverage, but their prosperity masks a deep-rooted demographic tragedy. Faced with staggering population decline--and near-certain economic collapse--driven by toxic levels of alcohol abuse, Russia is also battling a deeper sickness: a spiritual one, born out of the country’s long totalitarian experiment. In The Last Man in Russia, award-winning journalist Oliver Bullough uses the tale of a lone priest to give life to this national crisis. Father Dmitry Dudko, a dissident Orthodox Christian, was thrown into a Stalinist labor camp for writing poetry. Undaunted, on his release in the mid-1950s he began to preach to congregations across Russia with little concern for his own safety. At a time when the Soviet government denied its subjects the prospect of advancement, and turned friend against friend and brother against brother, Dudko urged his followers to cling to hope. He maintained a circle of sacred trust at the heart of one of history’s most deceitful systems. But as Bullough reveals, this courageous group of believers was eventually shattered by a terrible act of betrayal--one that exposes the full extent of the Communist tragedy. Still, Dudko’s dream endures. Although most Russians have forgotten the man himself, the embers of hope that survived the darkness are once more beginning to burn. Leading readers from a churchyard in Moscow to the snow-blanketed ghost towns of rural Russia, and from the forgotten graves of Stalin’s victims to a rock festival in an old gulag camp, The Last Man in Russia is at once a travelogue, a sociological study, a biography, and a cri de coeur for a dying nation--one that, Bullough shows, might yet be saved.
The Lattice Boltzmann Method
by Timm Krüger Halim Kusumaatmaja Alexandr Kuzmin Orest Shardt Goncalo Silva Erlend Magnus ViggenThis book is an introduction to the theory, practice, and implementation of the Lattice Boltzmann (LB) method, a powerful computational fluid dynamics method that is steadily gaining attention due to its simplicity, scalability, extensibility, and simple handling of complex geometries. The book contains chapters on the method's background, fundamental theory, advanced extensions, and implementation. To aid beginners, the most essential paragraphs in each chapter are highlighted, and the introductory chapters on various LB topics are front-loaded with special "in a nutshell" sections that condense the chapter's most important practical results. Together, these sections can be used to quickly get up and running with the method. Exercises are integrated throughout the text, and frequently asked questions about the method are dealt with in a special section at the beginning. In the book itself and through its web page, readers can find example codes showing how the LB method can be implemented efficiently on a variety of hardware platforms, including multi-core processors, clusters, and graphics processing units. Students and scientists learning and using the LB method will appreciate the wealth of clearly presented and structured information in this volume.
The Lattice of Subquasivarieties of a Locally Finite Quasivariety (CMS Books in Mathematics)
by Jennifer Hyndman J. B. NationThis book discusses the ways in which the algebras in a locally finite quasivariety determine its lattice of subquasivarieties. The book starts with a clear and comprehensive presentation of the basic structure theory of quasivariety lattices, and then develops new methods and algorithms for their analysis. Particular attention is paid to the role of quasicritical algebras. The methods are illustrated by applying them to quasivarieties of abelian groups, modular lattices, unary algebras and pure relational structures. An appendix gives an overview of the theory of quasivarieties. Extensive references to the literature are provided throughout.
The Leading Indicators: A Short History of the Numbers That Rule Our World
by Zachary KarabellHow did we come by the "leading indicators" we place such stock in? We allocate trillions of dollars and make public policy and personal decisions based upon them, but what do they really tell us?"The leading indicators" shape our lives intimately, but few of us know where these numbers come from, what they mean, or why they rule the world. GDP, inflation, unemployment, trade, and a host of averages determine whether we feel optimistic or pessimistic about the country's future and our own. They dictate whether businesses hire and invest, or fire and hunker down, whether governments spend trillions or try to reduce debt, whether individuals marry, buy a car, get a mortgage, or look for a job.Zachary Karabell tackles the history and the limitations of each of our leading indicators. The solution is not to invent new indicators, but to become less dependent on a few simple figures and tap into the data revolution. We have unparalleled power to find the information we need, but only if we let go of the outdated indicators that lead and mislead us.
The Learning Framework in Number: Pedagogical Tools for Assessment and Instruction (Math Recovery)
by Robert J Wright David Ellemor-CollinsThis book is borne out of a collaborative research project (2004-8) between Math Recovery and CEM (Catholic Education Melbourne) funded by the Australian Research Council focusing on intervention in the number learning of low-attaining students in the first five years of school. This has involved developing new pedagogical tools (PTs) for assessment, instruction and intervention including a coherent, research-based framework for understanding the key aspects of students’ developing number knowledge. It also offers guidance on innovative video-based assessment and an overview of principles of intervention instruction. This book will be a useful guide for all primary and elementary school classroom teachers and assistants, and specialist teachers, including experienced Mathematics Recovery instructors. It will also be of significant interest to teacher educators and researchers.
The Learning Framework in Number: Pedagogical Tools for Assessment and Instruction (Math Recovery)
by Robert J Wright David Ellemor-CollinsThis book is borne out of a collaborative research project (2004-8) between Math Recovery and CEM (Catholic Education Melbourne) funded by the Australian Research Council focusing on intervention in the number learning of low-attaining students in the first five years of school. This has involved developing new pedagogical tools (PTs) for assessment, instruction and intervention including a coherent, research-based framework for understanding the key aspects of students’ developing number knowledge. It also offers guidance on innovative video-based assessment and an overview of principles of intervention instruction. This book will be a useful guide for all primary and elementary school classroom teachers and assistants, and specialist teachers, including experienced Mathematics Recovery instructors. It will also be of significant interest to teacher educators and researchers.
The Learning and Development of Mathematics Teacher Educators: International Perspectives and Challenges (Research in Mathematics Education)
by Merrilyn Goos Kim BeswickResearch in mathematics teacher education as a distinctive field of inquiry has grown substantially over the past 10-15 years. Within this field there is emerging interest in how mathematics teacher educators (MTEs) themselves learn and develop. Until recently there were few published studies on this topic, and the processes by which mathematics teacher educators learn, and the forms of knowledge they require for effective practice, had not been systematically investigated. However, researchers in mathematics education are now beginning to investigate the development of MTE expertise and associated issues. This volume draws on the latest research and thinking in this area is therefore timely to stimulate future development and directions. It will survey the emerging field of inquiry in mathematics education, combining the work of established scholars with perspectives of newcomers to the field, with the aim of influencing development of the field, invite cross-cultural comparisons in becoming a mathematics teacher educator by highlighting issues in the development of MTEs in different countries, and examine the roles of both mathematics educators and mathematicians in preparing future teachers of mathematics. The primary audience will be university-based mathematics teacher educators and MTE researchers, and postgraduate research students who are seeking academic careers as MTEs. Additional interest may come from teacher educators in disciplines other than mathematics, and education policy makers responsible for accreditation and quality control of initial teacher education programs.
The Learning and Teaching of Algebra: Ideas, Insights and Activities (IMPACT: Interweaving Mathematics Pedagogy and Content for Teaching #8)
by Kaye Stacey Paul Drijvers Abraham ArcaviIMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education. The Learning and Teaching of Algebra provides a pedagogical framework for the teaching and learning of algebra grounded in theory and research. Areas covered include: • Algebra: Setting the Scene • Some Lessons From History • Seeing Algebra Through the Eyes of a Learner • Emphases in Algebra Teaching • Algebra Education in the Digital Era This guide will be essential reading for trainee and qualified teachers of mathematics, graduate students, curriculum developers, researchers and all those who are interested in the "problématique" of teaching and learning algebra. It allows you to get involved in the wealth of knowledge that teachers can draw upon to assist learners, helping you gain the insights that mastering algebra provides.
The Lefschetz Properties
by Junzo Watanabe Yasuhide Numata Toshiaki Maeno Hideaki Morita Akihito Wachi Tadahito HarimaThis is a monograph which collects basic techniques, major results and interesting applications of Lefschetz properties of Artinian algebras. The origin of the Lefschetz properties of Artinian algebras is the Hard Lefschetz Theorem, which is a major result in algebraic geometry. However, for the last two decades, numerous applications of the Lefschetz properties to other areas of mathematics have been found, as a result of which the theory of the Lefschetz properties is now of great interest in its own right. It also has ties to other areas, including combinatorics, algebraic geometry, algebraic topology, commutative algebra and representation theory. The connections between the Lefschetz property and other areas of mathematics are not only diverse, but sometimes quite surprising, e.g. its ties to the Schur-Weyl duality. This is the first book solely devoted to the Lefschetz properties and is the first attempt to treat those properties systematically.
The Legacy of Alladi Ramakrishnan in the Mathematical Sciences
by Krishnaswami Alladi John R. Klauder Calyampudi R. RaoIn the spirit of Alladi Ramakrishnan's profound interest and contributions to three fields of science -- Mathematics, Statistics, and Physics -- this volume contains invited surveys and research articles from prominent members of these communities who also knew Ramakrishnan personally and greatly respected his influence in these areas of science. Historical photos, telegrams, and biographical narratives of Alladi Ramakrishnan's illustrious career of special interest are included as well.
The Legacy of Felix Klein (ICME-13 Monographs)
by Michael Neubrand Hans-Georg Weigand Gert Schubring William McCallum Marta MenghiniThis open access book provides an overview of Felix Klein’s ideas, highlighting developments in university teaching and school mathematics related to Klein’s thoughts, stemming from the last century. It discusses the meaning, importance and the legacy of Klein’s ideas today and in the future, within an international, global context. Presenting extended versions of the talks at the Thematic Afternoon at ICME-13, the book shows that many of Klein’s ideas can be reinterpreted in the context of the current situation, and offers tips and advice for dealing with current problems in teacher education and teaching mathematics in secondary schools. It proves that old ideas are timeless, but that it takes competent, committed and assertive individuals to bring these ideas to life. Throughout his professional life, Felix Klein emphasised the importance of reflecting upon mathematics teaching and learning from both a mathematical and a psychological or educational point of view. He also strongly promoted the modernisation of mathematics in the classroom, and developed ideas on university lectures for student teachers, which he later consolidated at the beginning of the last century in the three books on elementary mathematics from a higher standpoint.
The Legacy of Tatjana Afanassjewa: Philosophical Insights from the Work of an Original Physicist and Mathematician (Women in the History of Philosophy and Sciences #7)
by Jos Uffink Giovanni Valente Charlotte Werndl Lena ZuchowskiThis book presents a collection of essays that explore the life and works of Tatjana Afanassjewa (1876–1964), a Russian–Dutch physicist–mathematician. Readers will discover a scientist whose work on the foundations of thermodynamics significantly influenced the field itself as well as the philosophy of physics. This book highlights the philosophical consequences of her work in physics and mathematics and discusses historical aspects of her writings on the foundations of physics. In addition, it features English translations and critical reviews of key selections from her texts.First and foremost, the book highlights the numerous contributions that Afanassjewa made to the field. In particular, the authors examine her work on the foundations of thermodynamics and statistical physics, starting in the 1920s and extending to 1956, well after the untimely death of her husband in 1933. They also explore her almost entirely forgotten work on the didactics of mathematics. In addition, they discuss her influential collaboration with her husband, the Austrian physicist Paul Ehrenfest (1880–1933).The portrait that emerges is that of a highly original physicist and mathematician, whose legacy continues to influence scientists and philosophers today and whose lesser-known works deserve more attention than they have received. Readers will find a rich body of work that continues to this day to yield insights into the foundations of physics and mathematics.
The Lemonade War (Into Reading, Trade Book #2)
by Jacqueline DaviesNIMAC-sourced textbook <p><p> Fourth-grader Evan Treski is people-smart. He’s good at talking with people, even grownups. His younger sister, Jessie, on the other hand, is math-smart, but not especially good with people. So when the siblings’ lemonade stand war begins, there really is no telling who will win—or even if their fight will ever end. Brimming with savvy marketing tips for making money at any business, definitions of business terms, charts, diagrams, and even math problems, this fresh, funny, emotionally charged novel subtly explores how arguments can escalate beyond anyone’s intent.
The Life-Changing Magic of Numbers
by Bobby SeagullIf you found maths lessons at school irrelevant and boring, that’s because you didn’t have a teacher like Bobby Seagull.***As seen on Monkman & Seagull's Genius Guide to Britain*** Long before his rise to cult fandom on University Challenge, Bobby Seagull was obsessed with numbers. They were the keys that unlocked the randomness of football results, the beauty of art and the best way to get things done. In his absorbing book, Bobby tells the story of his life through numbers and shows the incredible ways maths can make sense of the world around us. From magic shows to rap lyrics, from hobbies to outer space, from fitness to food – Bobby’s infectious enthusiasm for numbers will change how you think about almost everything. Told through fascinating stories and insights from Bobby’s life, and with head-scratching puzzles in every chapter, you’ll never look at numbers the same way again.
The Limits of Resolution (Series in Optics and Optoelectronics)
by Geoffrey de Villiers E. Roy Pike"This beautiful book can be read as a novel presenting carefully our quest to get more and more information from our observations and measurements. Its authors are particularly good at relating it." --Pierre C. Sabatier "This is a unique text - a labor of love pulling together for the first time the remarkably large array of mathematical and statistical techniques used for analysis of resolution in many systems of importance today – optical, acoustical, radar, etc…. I believe it will find widespread use and value." --Dr. Robert G.W. Brown, Chief Executive Officer, American Institute of Physics "The mix of physics and mathematics is a unique feature of this book which can be basic not only for PhD students but also for researchers in the area of computational imaging." --Mario Bertero, Professor, University of Geneva "a tour-de-force covering aspects of history, mathematical theory and practical applications. The authors provide a penetrating insight into the often confused topic of resolution and in doing offer a unifying approach to the subject that is applicable not only to traditional optical systems but also modern day, computer-based systems such as radar and RF communications." --Prof. Ian Proudler, Loughborough University "a ‘must have’ for anyone interested in imaging and the spatial resolution of images. This book provides detailed and very readable account of resolution in imaging and organizes the recent history of the subject in excellent fashion.… I strongly recommend it." --Michael A. Fiddy, Professor, University of North Carolina at Charlotte This book brings together the concept of resolution, which limits what we can determine about our physical world, with the theory of linear inverse problems, emphasizing practical applications. The book focuses on methods for solving illposed problems that do not have unique stable solutions. After introducing basic concepts, the contents address problems with "continuous" data in detail before turning to cases of discrete data sets. As one of the unifying principles of the text, the authors explain how non-uniqueness is a feature of measurement problems in science where precision and resolution is essentially always limited by some kind of noise.
The Limits to Growth: A Report for the Club of Rome's Project on the Predicament of Mankind
by Donella H. Meadows Dennis L. Meadows Jorgen Randers William W. Behrens IIIA report from The Club of Rome, an informal organization that has been aptly described as an "invisible college." Its purposes are to foster understanding of the varied but interdependent components-- economic, political, natural, and social-- that make up the global system in which we all live; to bring that new understanding to the attention of policy-makers and the public worldwide; and in this way to promote new policy initiatives and action. This report caused much controversy when it was published.
The Lineaments of Population Policy in India: Women and Family Planning
by Mohan RaoIndia is the first country in the world to have an official programme for family planning that commenced in 1952. It has also seen a strong women’s movement to assert reproductive and contraceptive rights. This book brings to the fore several contestations and negotiations between public policy and the women’s movement in India. The comprehensive volume puts together key documents from archival records and authoritative sources, and traces the contours that have marked and defined the population policy in India as well as rights issues for women. <P><P>A major intervention in the field, this book will be indispensable for scholars and researchers in public policy, public health, demography, gender studies, social policy, development studies, sociology, social justice, human rights, politics and those interested in the study of modern India.