- Table View
- List View
The Little Data Book on Gender in Africa 2012/13
by World BankThe Little Data Book on Gender in Africa 2012/13 provides a summary collection of gender statistics on Africa available in one volume. It contains 60 indicators, covering 53 African countries. Additional data may be found on the companion CD-ROM or online, covering about 1,700 indicators from 1961 to 2011. Key themes are : - Basic demographic indicators- Education- Health- Labor force and wages- Women's empowermentDesigned to provide all those interested in Africa with quick reference and a reliable set of data to monitor development programs and aid flows in the region, this is an invaluable pocket edition reference tool for analysts and policy makers who want a better understanding of the economic and social developments occurring in Africa. For free access to Africa Development Indicators online, please visit http://data. worldbank. org/data-catalog.
The Little Green Math Book: 30 Powerful Principles for Building Math and Numeracy Skills
by Brandon Royal<p>The Little Green Math Book reads like a collection of math recipes to help us blend problems, principles, and approaches in creating our own lineup of splendid math cuisine. The book's four chapters include: (1) Basic Numeracy Ingredients, (2) Wonderful Math Recipes, (3) Favorite Numeracy Dishes, and (4) Special Math Garnishments. Along with 30 of the most fundamental, recurring math principles and rules, readers will find a three-tier system to rate the difficulty level of all 100 problems – one chili (“mild”), two chilies (“hot”), and three chilies (“very hot”). <p>Fine-tune your numerical mindset with a quantitative review that serves as a refresher course and as a tool for perceiving math in a new way. Whether you’re a high school or college student, test-prep candidate, or working professional, this book’s wealth of explanations and insights makes it a perfect learning companion.</p>
The Logic Of Infinity
by Barnaby SheppardFew mathematical results capture the imagination like Georg Cantor's groundbreaking work on infinity in the late nineteenth century. This opened the door to an intricate axiomatic theory of sets which was born in the decades that followed. Written for the motivated novice, this book provides an overview of key ideas in set theory, bridging the gap between technical accounts of mathematical foundations and popular accounts of logic. Readers will learn of the formal construction of the classical number systems, from the natural numbers to the real numbers and beyond, and see how set theory has evolved to analyse such deep questions as the status of the continuum hypothesis and the axiom of choice. Remarks and digressions introduce the reader to some of the philosophical aspects of the subject and to adjacent mathematical topics. The rich, annotated bibliography encourages the dedicated reader to delve into what is now a vast literature.
The Logic of Chance: An Essay On The Foundations And Province Of The Theory Of Probability, With Especial Reference To Its Logical Bearings And Its Ap (Dover Books on Mathematics)
by John VennNo mathematical background is necessary to appreciate this classic of probability theory, which remains unsurpassed in its clarity, readability, and sheer charm. Its author, British logician John Venn (1834-1923), popularized the famous Venn Diagrams that are commonly used for teaching elementary mathematics. In The Logic of Chance, he employs the same directness that makes his diagrams so effective.The three-part treatment commences with an overview of the physical foundations of the science of probability, including surveys of the arrangement and formation of the series of probability; the origin or process of causation of the series; how to discover and prove the series; and the conception of randomness. The second part examines the logical superstructure on the basis of physical foundations, encompassing the measurement of belief; the rules of inference in probability; the rule of succession; induction; chance, causation, and design; material and formal logic; modality; and fallacies. The final section explores various applications of the theory of probability, including such intriguing aspects as insurance and gambling, the credibility of extraordinary stories, and approximating the truth by means of the theory of averages.
The Logic of Miracles: Making Sense of Rare, Really Rare, and Impossibly Rare Events
by Laszlo Mero&“Consistently surprising…The Logic of Miracles breaks new ground in the relationship of probability, fate, and the ability of human beings to behold them."—Douglas Rushkoff, author of Team Human We live in a more turbulent world than we like to think. Yet the science we use to analyze economic, financial, and statistical events mostly disregards the world&’s essentially chaotic nature. We need to get used to the idea that wildly improbable events are actually part of the natural order. Here, a renowned mathematician and psychologist explains how the wild and mild worlds (which he names Wildovia and Mildovia) coexist, and that different laws apply to each. Even if we live in an ultimately wild universe, he argues, we&’re better off pretending that it obeys Mildovian laws. Doing so may amount to a self-fulfilling prophecy and create an island of predictability in a very rough sea. Perched on the ragged border between economics and complexity theory, the author proposes to extend the reach of science to subjects previously considered outside its grasp: the unpredictable, unrepeatable, highly improbable events we commonly call &“miracles.&” &“It's hard to see how miracles and math fit together. But if you accept László Mérö's invitation, you will enter a world where miracles are normal and the predictable sits side-by-side with the unpredictable. Along the way, he unveils the mathematics of the stock market and explains, in a playful yet mathematically accurate way, the roots of market crashes and earthquakes, and why &‘black swans&’ are not just calamities but opportunities.&”—Albert-László Barabási, author of Linked
The Logic of Poverty: The Case of the Brazilian Northeast (Routledge Revivals)
by Simon MitchellFirst published in 1981, The Logic of Poverty consists of eight essays that share at least one assumption: that Northeast Brazil provides a startling example of inhumane economic development. The contributors have all worked in the area, and know it at first hand. They look at rural structure and the role of the unemployed ‘reserve army’, the state of the sugar industry, the ineffectiveness of the irrigation schemes, the stagnation in the fishing sector, the lack of credit available to peasants and the role of SUDENE, the first development agency in the region. Together they paint a picture of poverty and of the factors that allow it to continue, and they place that poverty in the context of the wider economy of Brazil, relating it to the extraordinary transformation that has been called ‘the Brazilian miracle’. This book will be of interest to students of geography, anthropology, economics and sociology.
The Logic, Philosophy, and History of the Lambda-Calculus: Theory and Applications (History of Analytic Philosophy)
by Levis ZerpaThis is the first book focused on the logico-philosophical aspects of the lambda-calculus since the inception of the field in 1932 in the pioneering work of Alonzo Church. The book starts a new field called “lambda-philosophy”: a branch of logic-based analytic philosophy in the tradition of Frege and Russell, directly constructed from the lambda-calculus. Another innovation of the book is a new graphical and intuitive logico-mathematical notation for the lambda-calculus called “the container notation”. The book covers in detail some episodes of the history of the subject, including three comparative studies of the lambda-calculus with Viète's algebra, Descartes' analytic geometry, and Wittgenstein’s Tractatus. A didactic approach to the logico-mathematical aspects of the lambda-calculus, partially based on cognitive science, provides the technical basis for the analysis. In this way, the book provides a systematic and coherent treatment of diverse logico-philosophical aspects and applications of the lambda-calculus as part of the platform offered by lambda-philosophy. The book includes the following: a detailed treatment of the ambiguities of the concept of function (under the traditional or Euler’s notation); an elucidation of the notion of transformative philosophical analysis; an account of Church’s methodology which shows that the lambda-calculus is an adequate solution to the problem of a philosophical analysis of functions as rules of computation; a didactic treatment of the formal aspects of the lambda-calculus through the container notation; and diverse arithmetical and logical examples of the container notation. The book questions a dogma of algorithmic thinking by arguing that the lambda-calculus is more intuitive and natural than Turing machines. The Logic, Philosophy, and History of the Lambda-Calculus is essential reading for all scholars and researchers of the history of analytic philosophy and especially those focussing on logic-based analytic philosophy.
The Logical Foundations of Scientific Theories: Languages, Structures, and Models (Routledge Studies in the Philosophy of Mathematics and Physics)
by Decio Krause Jonas R.B. ArenhartThis book addresses the logical aspects of the foundations of scientific theories. Even though the relevance of formal methods in the study of scientific theories is now widely recognized and regaining prominence, the issues covered here are still not generally discussed in philosophy of science. The authors focus mainly on the role played by the underlying formal apparatuses employed in the construction of the models of scientific theories, relating the discussion with the so-called semantic approach to scientific theories. The book describes the role played by this metamathematical framework in three main aspects: considerations of formal languages employed to axiomatize scientific theories, the role of the axiomatic method itself, and the way set-theoretical structures, which play the role of the models of theories, are developed. The authors also discuss the differences and philosophical relevance of the two basic ways of aximoatizing a scientific theory, namely Patrick Suppes’ set theoretical predicates and the "da Costa and Chuaqui" approach. This book engages with important discussions of the nature of scientific theories and will be a useful resource for researchers and upper-level students working in philosophy of science.
The Logician and the Engineer: How George Boole and Claude Shannon Created the Information Age
by Paul J. NahinHow two pioneers of math and technology ushered in the computer revolutionBoolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we use—from our computers and cars, to home appliances. How did a system of mathematics established in the Victorian era become the basis for such incredible technological achievements a century later? In The Logician and the Engineer, Paul Nahin combines engaging problems and a colorful historical narrative to tell the remarkable story of how two men in different eras—mathematician and philosopher George Boole and electrical engineer and pioneering information theorist Claude Shannon—advanced Boolean logic and became founding fathers of the electronic communications age. Nahin takes readers from fundamental concepts to a deeper and more sophisticated understanding of modern digital machines, in order to explore computing and its possible limitations in the twenty-first century and beyond.
The Long Baby Boom: An Optimistic Vision for a Graying Generation
by Jeff Goldsmith“Important, timely . . . should be the basis for a national debate about how we each want to grow older and what kind of society we want to do it in.” —John Rother, Group Executive Officer of Policy and Strategy, AARPThe aging of the boomer generation has unleashed a veritable tidal wave of gloomy punditry, advertising for financial services, and forecasts of impending national bankruptcy. In The Long Baby Boom, Jeff Goldsmith counters the catastrophic predictions with a far more optimistic scenario.Drawing on evidence that most baby boomers plan on working long past age sixty-five, Goldsmith argues that they will have a constructive impact on society. By assuming a much larger portion of the financial burden of their own retirement and health costs, they will help preserve Social Security and Medicare for the less fortunate—and for successive generations.The Long Baby Boom is the first comprehensive forecast of baby boomers’ career plans, health trends, and cultural and political values. Goldsmith’s pro-work, pro-savings, pro-health social policy emphasizes personal responsibility without ripping the social safety net. Constructive and innovative, The Long Baby Boom doesn’t promise a cloud-free future, but it does reassure us that the sky isn’t falling.
The Longevity Dividend: Later Life, Lifelong Learning and Productive Societies (International Perspectives on Aging #39)
by Satya BrinkThis book offers global evidence about the increasing longevity, its consequences and its potential for societal benefits. Based on statistics, academic literature, policy initiatives and numerous country experiences, it explains the interconnected effects of a longer later life, lifelong learning and more productive societies. This larger picture shows how the future can be managed by making strategic choices today. Choosing the right policies allows gaining the maximum benefits from the longevity dividend for current and future generations. This book explains how investing in lifelong learning can enrich the longevity dividend. It gives valuable insights for policy advisors, decision makers, researchers, health professionals, practitioners, students of aging and late life educators.
The Loom of God: Tapestries of Mathematics and Mysticism
by Clifford A. PickoverFrom the mysterious cult of Pythagoras to the awesome mechanics of Stonehenge to the “gargoyles” and fractals on today’s computers, mathematics has always been a powerful, even divine force in the world. In a lively, intelligent synthesis of math, mysticism, and science fiction, Clifford Pickover explains the eternal magic of numbers. Taking a uniquely humorous approach, he appoints readers “Chief Historian” of an intergalactic museum and sends them, along with a quirky cast of characters, hurtling through the ages to explore how individuals used numbers for such purposes as predicting the end of the world, finding love, and winning wars.
The Lower Algebraic K-Theory of Virtually Cyclic Subgroups of the Braid Groups of the Sphere and of ZB4(S2)
by John Guaschi Daniel Juan-Pineda Silvia Millán LópezThis volume deals with the K-theoretical aspects of the group rings of braid groups of the 2-sphere. The lower algebraic K-theory of the finite subgroups of these groups up to eleven strings is computed using a wide variety of tools. Many of the techniques extend to the general case, and the results reveal new K-theoretical phenomena with respect to the previous study of other families of groups. The second part of the manuscript focusses on the case of the 4-string braid group of the 2-sphere, which is shown to be hyperbolic in the sense of Gromov. This permits the computation of the infinite maximal virtually cyclic subgroups of this group and their conjugacy classes, and applying the fact that this group satisfies the Fibred Isomorphism Conjecture of Farrell and Jones, leads to an explicit calculation of its lower K-theory. Researchers and graduate students working in K-theory and surface braid groups will constitute the primary audience of the manuscript, particularly those interested in the Fibred Isomorphism Conjecture, and the computation of Nil groups and the lower algebraic K-groups of group rings. The manuscript will also provide a useful resource to researchers who wish to learn the techniques needed to calculate lower algebraic K-groups, and the bibliography brings together a large number of references in this respect.
The Lucas Sequences: Theory and Applications (CMS/CAIMS Books in Mathematics #8)
by Hugh C. Williams Christian J.-C. BallotAlthough the Lucas sequences were known to earlier investigators such as Lagrange, Legendre and Genocchi, it is because of the enormous number and variety of results involving them, revealed by Édouard Lucas between 1876 and 1880, that they are now named after him. Since Lucas’ early work, much more has been discovered concerning these remarkable mathematical objects, and the objective of this book is to provide a much more thorough discussion of them than is available in existing monographs. In order to do this a large variety of results, currently scattered throughout the literature, are brought together. Various sections are devoted to the intrinsic arithmetic properties of these sequences, primality testing, the Lucasnomials, some associated density problems and Lucas’ problem of finding a suitable generalization of them. Furthermore, their application, not only to primality testing, but also to integer factoring, efficient solution of quadratic and cubic congruences, cryptography and Diophantine equations are briefly discussed. Also, many historical remarks are sprinkled throughout the book, and a biography of Lucas is included as an appendix.Much of the book is not intended to be overly detailed. Rather, the objective is to provide a good, elementary and clear explanation of the subject matter without too much ancillary material. Most chapters, with the exception of the second and the fourth, will address a particular theme, provide enough information for the reader to get a feel for the subject and supply references to more comprehensive results. Most of this work should be accessible to anyone with a basic knowledge of elementary number theory and abstract algebra. The book’s intended audience is number theorists, both professional and amateur, students and enthusiasts.
The Lvov-Warsaw School. Past and Present (Studies in Universal Logic)
by Ángel Garrido Urszula Wybraniec-SkardowskaThis is a collection of new investigations and discoveries on the history of a great tradition, the Lvov-Warsaw School of logic and mathematics, by the best specialists from all over the world. The papers range from historical considerations to new philosophical, logical and mathematical developments of this impressive School, including applications to Computer Science, Mathematics, Metalogic, Scientific and Analytic Philosophy, Theory of Models and Linguistics.
The MVP Machine: How Baseball's New Nonconformists Are Using Data to Build Better Players
by Ben Lindbergh Travis SawchikMove over, Moneyball -- a cutting-edge look at major league baseball's next revolution: the high-tech quest to build better players. As bestselling authors Ben Lindbergh and Travis Sawchik reveal in The MVP Machine, the Moneyball era is over. Fifteen years after Michael Lewis brought the Oakland Athletics' groundbreaking team-building strategies to light, every front office takes a data-driven approach to evaluating players, and the league's smarter teams no longer have a huge advantage in valuing past performance.Lindbergh and Sawchik's behind-the-scenes reporting reveals:How the 2017 Astros and 2018 Red Sox used cutting-edge technology to win the World SeriesHow undersized afterthoughts José Altuve and Mookie Betts became big sluggers and MVPsHow polarizing pitcher Trevor Bauer made himself a Cy Young contenderHow new analytical tools have overturned traditional pitching and hitting techniquesHow a wave of young talent is making MLB both better than ever and arguably worse to watchInstead of out-drafting, out-signing, and out-trading their rivals, baseball's best minds have turned to out-developing opponents, gaining greater edges than ever by perfecting prospects and eking extra runs out of older athletes who were once written off. Lindbergh and Sawchik take us inside the transformation of former fringe hitters into home-run kings, show how washed-up pitchers have emerged as aces, and document how coaching and scouting are being turned upside down. The MVP Machine charts the future of a sport and offers a lesson that goes beyond baseball: Success stems not from focusing on finished products, but from making the most of untapped potential.
The Magic of Math: Solving for x and Figuring Out Why
by Arthur BenjaminThe Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples-from ice cream scoops and poker hands to measuring mountains and making magic squares-this book empowers you to see the beauty, simplicity, and truly magical properties behind those formulas and equations that once left your head spinning. You'll learn the key ideas of classic areas of mathematics like arithmetic, algebra, geometry, trigonometry, and calculus, but you'll also have fun fooling around with Fibonacci numbers, investigating infinity, and marveling over mathematical magic tricks that will make you look like a math genius!A mathematician who is known throughout the world as the "mathemagician," Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand. In The Magic of Math, Benjamin does more than just teach skills: with a tip of his magic hat, he takes you on as his apprentice to teach you how to appreciate math the way he does. He motivates you to learn something new about how to solve for x, because there is real pleasure to be found in the solution to a challenging problem or in using numbers to do something useful. But what he really wants you to do is be able to figure out why, for that's where you'll find the real beauty, power, and magic of math.If you are already someone who likes math, this book will dazzle and amuse you. If you never particularly liked or understood math, Benjamin will enlighten you and-with a wave of his magic wand-turn you into a math lover.
The Magic of Mathematics
by Theoni PappasDelves into the world of ideas, explores the spell mathematics casts on our lives, and helps you discover mathematics where you least expect it. Be spellbound by the mathematical designs found in nature. Learn how knots may untie the mysteries of life. Be mesmerized by the computer revolution. Discover how the hidden forces of mathematics -hold architectural structures together -connect your telephone calls -help airplanes get off the ground - solve the mysteries of the living cell. See how some artists use a mathematical palette in their works and how many writers draw upon the wealth of its ideas. Experience all this in The Magic of Mathematics.
The Magic of Maths
by Arthur BenjaminANew York Timesbestseller The Magic of Math is the math book you wish you had in school. Using a delightful assortment of examples--from ice cream scoops and poker hands to measuring mountains and making magic squares--this book empowers you to see the beauty, simplicity, and truly magical properties behind those formulas and equations that once left your head spinning. You’ll learn the key ideas of classic areas of mathematics like arithmetic, algebra, geometry, trigonometry, and calculus, but you’ll also have fun fooling around with Fibonacci numbers, investigating infinity, and marveling over mathematical magic tricks that will make you look like a math genius! A mathematician who is known throughout the world as the "mathemagician,” Arthur Benjamin mixes mathematics and magic to make the subject fun, attractive, and easy to understand. InThe Magic of Math, Benjamin does more than just teach skills: with a tip of his magic hat, he takes you on as his apprentice to teach you how to appreciate math the way he does. He motivates you to learn something new about how to solve for x, because there is real pleasure to be found in the solution to a challenging problem or in using numbers to do something useful. But what he really wants you to do is be able to figure out why, for that’s where you’ll find the real beauty, power, and magic of math. If you are already someone who likes math, this book will dazzle and amuse you. If you never particularly liked or understood math, Benjamin will enlighten you and--with a wave of his magic wand--turn you into a math lover.
The Magic of Numbers
by Eric Temple BellFrom one of the foremost interpreters for lay readers of the history and meaning of mathematics: a stimulating account of the origins of mathematical thought and the development of numerical theory. It probes the work of Pythagoras, Galileo, Berkeley, Einstein, and others, exploring how "number magic" has influenced religion, philosophy, science, and mathematics
The Magician's Dictionary
by Edward E. RehmusUnlike most occult teaches, E.E. Rehmus doesn't mince words. He defines them. His Magician's Dictionary picks up where all other occult reference works leave off -- at the dawn of the apocalypse.
The Mahalanobis Growth Model: A Macrodynamics Approach
by Chetan Ghate Pawan Gopalakrishnan Srishti GroverThis book provides an analytical and computational approach to solving and simulating the Mahalanobis model and the papers surrounding it. The book comes up, perhaps for the first time, with a holistic examination of an important growth model that emerged out of India in the 1950s. It contains detailed derivations of the Mahalanobis model and the several critiques and extensions surrounding it with an organized synthesis of the main results. Computationally, the book simulates the model and its many variants, thus making it accessible to a wider audience. Advanced undergraduates and beginning graduate students in the fields of Economics, Mathematics, and Statistics will gain immensely from understanding both the mathematical aspects as well as the computational aspects of the Mahalanobis model. In the absence of a single 'go-to' source on all aspects of the model -- analytical and computational -- this book is a definitive volume on the Mahalanobis model that has all the derivations of all the papers surrounding the model, its dissents and critiques, and extensions as in the wage goods model suggested by Vakil and Brahmananda.
The Making of Mathematics: Heuristic Philosophy of Mathematics (Synthese Library #448)
by Carlo CellucciThis book offers an alternative to current philosophy of mathematics: heuristic philosophy of mathematics. In accordance with the heuristic approach, the philosophy of mathematics must concern itself with the making of mathematics and in particular with mathematical discovery. In the past century, mainstream philosophy of mathematics has claimed that the philosophy of mathematics cannot concern itself with the making of mathematics but only with finished mathematics, namely mathematics as presented in published works. On this basis, mainstream philosophy of mathematics has maintained that mathematics is theorem proving by the axiomatic method. This view has turned out to be untenable because of Gödel’s incompleteness theorems, which have shown that the view that mathematics is theorem proving by the axiomatic method does not account for a large number of basic features of mathematics. By using the heuristic approach, this book argues that mathematics is not theorem proving by the axiomatic method, but is rather problem solving by the analytic method. The author argues that this view can account for the main items of the mathematical process, those being: mathematical objects, demonstrations, definitions, diagrams, notations, explanations, applicability, beauty, and the role of mathematical knowledge.
The Making of a Philosopher: My Journey Through Twentieth-Century Philosophy
by Colin McGinnPart memoir, part study, The Making of a Philosopher is the self–portrait of a deeply intelligent mind as it develops over a life on both sides of the Atlantic.The Making of a Philosopher follows Colin McGinn from his early years in England reading Descartes and Anselm, to his years in the states, first in Los Angeles, then New York. McGinn presents a contemporary academic take on the great philosophical figures of the twentieth century, including Bertrand Russell, Jean–Paul Sartre, and Noam Chomsky, alongside stories of the teachers who informed his ideas and often became friends and mentors, especially the colorful A.J. Ayer at Oxford. McGinn's prose is always elegant and probing; students of contemporary philosophy and the general reader alike will absorb every page.
The Making of a Scribe: Errors, Mistakes and Rounding Numbers in the Old Babylonian Kingdom of Larsa (Why the Sciences of the Ancient World Matter #4)
by Robert Middeke-ConlinThis book presents a novel methodology to study economic texts. The author investigates discrepancies in these writings by focusing on errors, mistakes, and rounding numbers. In particular, he looks at the acquisition, use, and development of practical mathematics in an ancient society: The Old Babylonian kingdom of Larsa (beginning of the second millennium BCE Southern Iraq). In so doing, coverage bridges a gap between the sciences and humanities. Through this work, the reader will gain insight into discrepancies encountered in economic texts in general and rounding numbers in particular. They will learn a new framework to explain error as a form of economic practice. Researchers and students will also become aware of the numerical and metrological basis for calculation in these writings and how the scribes themselves conceptualized value. This work fills a void in Assyriological studies. It provides a methodology to explore, understand, and exploit statistical data. The anlaysis also fills a void in the history of mathematics by presenting historians of mathematics a method to study practical texts. In addition, the author shows the importance mathematics has as a tool for ancient practitioners to cope with complex economic processes. This serves as a useful case study for modern policy makers into the importance of education in any economy.