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Gravitational Waves: A History of Discovery
by Hartmut GroteThe historic detection of gravitational waves on September 14, 2015, prompted by the highly energetic fusion of two black holes, has made events in the universe "audible" for the first time. This expansion of the scientific sensorium has opened a new chapter in astronomy and already led to, among others, fascinating new insights about the abundance of black holes, the collision of neutron stars, and the origin of heavy chemical elements. The history of this event, which is epochal for physics, is reconstructed in this book, along with a walk-through of the main principles of how the detectors operate and a discussion of how the search for gravitational waves is conducted. The book concludes with an update of the latest detections and developments to date and a brief look into the future of this exciting research field. This book is accessible to non-specialist readers from a general audience and is also an excellent introduction to the topic for undergraduates in physics. Features: Provides an introduction to the historic discovery of gravitational waves Explains the inner workings of the detectors and the search to find the waves hidden in the data Authored by a renowned specialist involved in the ground-breaking discovery Hartmut Grote is a Professor of physics at Cardiff University, UK. His main expertise is in experimental gravitational-wave physics, and he has worked on building and improving gravitational wave detectors for over 20 years. From 2009 to 2017, he was the scientific leader of the British-German gravitational-wave detector: GEO600.
Gravitational Waves: A New Window to the Universe
by Ajit Kembhavi Pushpa KhareGravitational waves were first predicted by Albert Einstein in 1916, a year after the development of his new theory of gravitation known as the general theory of relativity. This theory established gravitation as the curvature of space-time produced by matter and energy. To be discernible even to the most sensitive instruments on Earth, the waves have to be produced by immensely massive objects like black holes and neutron stars which are rotating around each other, or in the extreme situations which prevail in the very early ages of the Universe. This book presents the story of the prediction of gravitational waves by Albert Einstein, the early attempts to detect the waves, the development of the LIGO detector, the first detection in 2016, the subsequent detections and their implications. All concepts are described in some detail, without the use of any mathematics and advanced physics which are needed for a full understanding of the subject. The book also contains description of electromagnetism, Einstein’s special theory and general theory of relativity, white dwarfs, neutron stars and black holes and other concepts which are needed for understanding gravitational waves and their effects. Also described are the LIGO detectors and the cutting edge technology that goes into building them, and the extremely accurate measurements that are needed to detect gravitational waves. The book covers these ideas in a simple and lucid fashion which should be accessible to all interested readers. The first detection of gravitational waves was given a lot of space in the print and electronic media. So, the curiosity of the non-technical audience has been aroused about what gravitational waves really are and why they are so important. This book seeks to answer such questions.
Gravitational Waves from a Quantum Field Theory Perspective (Lecture Notes in Physics #1013)
by Subhendra MohantyThis book treats the subject of gravitational waves (GWs) production in binary stars or black-holes and in the early universe, using tools of quantum field theory which are familiar to graduate students and researchers in particle physics. A special focus is given to the generation of templates of gravitational wave signals from Feynman diagram calculations of transition amplitudes, which interests active researchers in GWs. The book presents field theory concepts, like supersymmetry realized in spinning binaries and soft-graviton theorems, that can have practical applications in novel GW signals, like the memory effect. The book also aims at specialists in both GWs and particle physics addressing cosmological models of phase transition and inflation that can be tested in observations at terrestrial and space based interferometers, pulsar timing arrays, and the cosmic microwave anisotropy observations.
Gravity: A Ladybird Expert Book
by Jim Al-KhaliliHow does gravity work? Learn from the experts in the ALL-NEW LADYBIRD EXPERT SERIESDiscover the vast and momentus effects of this profound force on the world around us, written by celebrated physicist and broadcaster Jim Al-Khalili.Inside you will learn:- What is Gravity?- How does it work?- And why are there extreme gravitational environments?Above all, discover how gravity controls the shape of space and the passage of time itself, influencing the history and destiny of the entire Universe.IT'S SO MUCH MORE THAN 'WHAT GOES UP MUST COME DOWN.'Gravity is a fascinating and authoritative introduction to a phenomenon as familiar to us as breathing.Learn about other topics in the Ladybird Experts series including The Big Bang, Quantum Physics, Climate Change and Evolution.
Gravity, a Geometrical Course: Development of the Theory and Basic Physical Applications
by Pietro Giuseppe Frè'Gravity, a Geometrical Course' presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications, updated to the issues of contemporary research and observations, with glimpses on supergravity and superstring theory, iii) the historical development of scientific ideas underlying both the birth of general relativity and its subsequent evolution. The book, divided in two volumes, is a rich resource for graduate students and those who wish to gain a deep knowledge of the subject without an instructor. Volume One is dedicated to the development of the theory and basic physical applications. It guides the reader from the foundation of special relativity to Einstein field equations, illustrating some basic applications in astrophysics. A detailed account of the historical and conceptual development of the theory is combined with the presentation of its mathematical foundations. Differentiable manifolds, fibre-bundles, differential forms, and the theory of connections are covered, with a sketchy introduction to homology and cohomology. (Pseudo)-Riemannian geometry is presented both in the metric and in the vielbein approach. Physical applications include the motions in a Schwarzschild field leading to the classical tests of GR (light-ray bending and periastron advance) discussion of relativistic stellar equilibrium, white dwarfs, Chandrasekhar mass limit and polytropes. An entire chapter is devoted to tests of GR and to the indirect evidence of gravitational wave emission. The formal structure of gravitational theory is at all stages compared with that of non gravitational gauge theories, as a preparation to its modern extension, namely supergravity, discussed in the second volume. Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy and is currently serving as Scientific Counsellor of the Italian Embassy in Moscow. His scientific passion lies in supergravity and all allied topics, since the inception of the field, in 1976. He was professor at SISSA, worked in the USA and at CERN. He has taught General Relativity for 15 years. He has previously two scientific monographs, "Supergravity and Superstrings" and "The N=2 Wonderland", He is also the author of a popular science book on cosmology and two novels, in Italian.
Gravity, a Geometrical Course
by Pietro Giuseppe Frè'Gravity, a Geometrical Course' presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications, updated to the issues of contemporary research and observations, with glimpses on supergravity and superstring theory, iii) the historical development of scientific ideas underlying both the birth of general relativity and its subsequent evolution. The book is divided in two volumes. Volume Two is covers black holes, cosmology and an introduction to supergravity. The aim of this volume is two-fold. It completes the presentation of GR and it introduces the reader to theory of gravitation beyond GR, which is supergravity. Starting with a short history of the black hole concept, the book covers the Kruskal extension of the Schwarzschild metric, the causal structures of Lorentzian manifolds, Penrose diagrams and a detailed analysis of the Kerr-Newman metric. An extensive historical account of the development of modern cosmology is followed by a detailed presentation of its mathematical structure, including non-isotropic cosmologies and billiards, de Sitter space and inflationary scenarios, perturbation theory and anisotropies of the Cosmic Microwave Background. The last three chapters deal with the mathematical and conceptual foundations of supergravity in the frame of free differential algebras. Branes are presented both as classical solutions of the bulk theory and as world-volume gauge theories with particular emphasis on the geometrical interpretation of kappa-supersymmetry. The rich bestiary of special geometries underlying supergravity lagrangians is presented, followed by a chapter providing glances on the equally rich collection of special solutions of supergravity. Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy and is currently serving as Scientific Counsellor of the Italian Embassy in Moscow. His scientific passion lies in supergravity and all allied topics, since the inception of the field, in 1976. He was professor at SISSA, worked in the USA and at CERN. He has taught General Relativity for 15 years. He has previously two scientific monographs, "Supergravity and Superstrings" and "The N=2 Wonderland", He is also the author of a popular science book on cosmology and two novels, in Italian.
Gravity, Cosmology, and Astrophysics: A Journey of Exploration and Discovery with Female Pioneers (Lecture Notes in Physics #1022)
by Betti Hartmann Jutta KunzThis book is a compilation of enlightening tutorial essays, showcasing the forefront of research by exceptional female scientists. This invaluable collection provides graduate students and researchers in the field with an engaging and pedagogical introduction to a wide range of compelling topics. Delve into the depths of theoretical and observational realms, exploring intriguing subjects including modified gravity models, quantum gravity, fields in curved space-time, particle dynamics, gravitational waves, and enigmatic black holes. Embracing both the theoretical foundations and the practical applications, this comprehensive edited volume offers an accessible and all-encompassing panorama of gravity and cosmology. Moreover, it shines a much-needed spotlight on the significant contributions made by remarkable women across the globe, fostering recognition and admiration for their indispensable role in shaping this ever-evolving field.
The Gravity of Math: How Geometry Rules the Universe
by Steve Nadis Shing-Tung YauOne of the preeminent mathematicians of the past half century shows how physics and math were combined to give us the theory of gravity and the dizzying array of ideas and insights that has come from it Mathematics is far more than just the language of science. It is a critical underpinning of nature. The famed physicist Albert Einstein demonstrated this in 1915 when he showed that gravity—long considered an attractive force between massive objects—was actually a manifestation of the curvature, or geometry, of space and time. But in making this towering intellectual leap, Einstein needed the help of several mathematicians, including Marcel Grossmann, who introduced him to the geometrical framework upon which his theory rest. In The Gravity of Math, Steve Nadis and Shing-Tung Yau consider how math can drive and sometimes even anticipate discoveries in physics. Examining phenomena like black holes, gravitational waves, and the Big Bang, Nadis and Yau ask: Why do mathematical statements, derived solely from logic, provide the best descriptions of our physical world? The Gravity of Math offers an insightful and compelling look into the power of mathematics—whose reach, like that of gravity, can extend to the edge of the universe.
Gray Dawn: How the Coming Age Will Transform America and the World
by Peter G. PetersonHow Aging is changing our world.
GRE Math Prep Course
by Jeff Kolby Derrick VaughnEvery year, students pay $1,000 and more to test prep companies to prepare for the math section of the GRE. Now you can get the same preparation in a book. Although the GRE math section is difficult, it is very learnable. GRE Math Prep Course presents a thorough analysis of GRE math and introduces numerous analytic techniques that will help you immensely, not only on the GRE but in graduate school as well. Features: * Comprehensive Review: Twenty-three chapters provide complete review of GRE math. * Practice: Includes 164 examples and more than 600 exercises! Arranged from easy to medium to hard to very hard. * Diagnostic Test: The diagnostic test measures your strengths and weaknesses and directs you to areas you need to study more. * Duals: These are pairs of similar problems in which only one property is different. They illustrate the process of creating GRE questions. * If your target is a 700+ score, this is the book!
GRE Quantitative Reasoning Bible
by Victoria WoodThe purpose of this book is to provide you with a thorough review of tested math concepts and to teach you new strategies for approaching the Quantitative Reasoning section on the GRE.
GRE Test Prep Flash Cards: Geometry (Exambusters GRE Workbook #6 of 6)
by Ace Inc.<P><P><i>Advisory: Bookshare has learned that this book offers only partial accessibility. We have kept it in the collection because it is useful for some of our members. Benetech is actively working on projects to improve accessibility issues such as these.</i><P><P> 450 questions and answers that focus on essential geometry theorems, postulates, concepts, and definitions. Includes complementary diagrams. <P><P>Topics: Lines and Angles, Triangles, Proofs, Perpendicular Lines, Parallel Lines, Angle Sums, Quadrilaterals, Medians, Altitudes and Bisectors, Circles, Ratio and Proportion, Similar Polygons, Circles and Regular Polygons, Inequalities, Locus, Coordinate Geometry <P>EXAMBUSTERS GRE Prep Workbooks provide comprehensive, fundamental GRE review--one fact at a time--to prepare students to take practice GRE tests. Each GRE study guide focuses on one specific subject area covered on the GRE exam. From 300 to 600 questions and answers, each volume in the GRE series is a quick and easy, focused read. Reviewing GRE flash cards is the first step toward more confident GRE preparation and ultimately, higher GRE exam scores!
GRE Test Prep Flash Cards: Algebra (Exambusters GRE Workbook #5 of 6)
by Ace Inc.<P><P><i>Advisory: Bookshare has learned that this book offers only partial accessibility. We have kept it in the collection because it is useful for some of our members. Benetech is actively working on projects to improve accessibility issues such as these.</i><P><P> 450 questions and answers that highlight introductory algebra definitions, problems, and concepts. <P><P>Topics: Algebraic Concepts, Sets, Variables, Exponents, Properties of Numbers, Simple Equations, Signed Numbers, Monomials, Polynomials, Additive and Multiplicative Inverse, Word Problems, Prime Numbers, Factoring, Algebraic Fractions, Ratio and Proportion, Variation, Radicals, Quadratic Equations <P> EXAMBUSTERS GRE Prep Workbooks provide comprehensive, fundamental GRE review--one fact at a time--to prepare students to take practice GRE tests. Each GRE study guide focuses on one specific subject area covered on the GRE exam. From 300 to 600 questions and answers, each volume in the GRE series is a quick and easy, focused read. Reviewing GRE flash cards is the first step toward more confident GRE preparation and ultimately, higher GRE exam scores!
The Great Book of Philadelphia Sports Lists (Completely Revised and Updated Edition)
by Glen Macnow Big Daddy GrahamWhen it comes to sports talk, no city has more to say than Philadelphia.With their 2007 The Great Book of Philadelphia Sports Lists, WIP sports radio hosts Glen Macnow and Big Daddy Graham compiled dozens of sports lists to stir up dialog and debate within the buzzing Philadelphia sports community (and beyond).A lot has happened in Philly sports since 2007 -- the Phillies' 2008 World Series win; the Eagles' record-breaking 2017 season, now-famous Philly Special play, and Super Bowl LII victory over the Patriots; the Sixers' "Trust the Process" campaign; and, of course, Gritty -- so now Glen and Big Daddy are back with dozens of new lists to keep the conversation fresh, ranking things like:The most overrated and underrated players in Philly sports historyThe top 10 Philadelphia sports quotesThe 10 worst Eagles draft picks everThe greatest duos in Philly sports historyThe 10 best sports movies set in PhiladelphiaThe worst bosses in Philly sports historyand much more!
Great Calculations
by Colin PaskScience is based not only on observation and experiment, but on theory as well. As Einstein said, "Theory tells us what to measure." And theories are often crystallized into succinct calculations, like those made using Einstein's famous E = mc2. This book looks at fifty such great calculations, exploring how and why they were developed and assessing their impact on the history of science.As the author shows, many significant scientific calculations are quite simple and fairly easy to understand, even for readers will little math background. But their implications can be surprising and profound.For example, what links a famous comet and the cost of an annuity? Why do scientists claim there is "dark matter" in the universe if it can't be observed? How does carbon-based life on Earth depend on a quirk of nuclear physics? The answer to each question is an illuminating calculation. This accessible, engaging book will help you understand these breakthroughs and how they changed our view of life and the world.From the Trade Paperback edition.
Great Circles: The Transits of Mathematics and Poetry (Mathematics, Culture, and the Arts)
by Emily Rolfe GrosholzThis volume explores the interaction of poetry and mathematics by looking at analogies that link them. The form that distinguishes poetry from prose has mathematical structure (lifting language above the flow of time), as do the thoughtful ways in which poets bring the infinite into relation with the finite. The history of mathematics exhibits a dramatic narrative inspired by a kind of troping, as metaphor opens, metonymy and synecdoche elaborate, and irony closes off or shifts the growth of mathematical knowledge. The first part of the book is autobiographical, following the author through her discovery of these analogies, revealed by music, architecture, science fiction, philosophy, and the study of mathematics and poetry. The second part focuses on geometry, the circle and square, launching us from Shakespeare to Housman, from Euclid to Leibniz. The third part explores the study of dynamics, inertial motion and transcendental functions, from Descartes to Newton, and in 20th c. poetry. The final part contemplates infinity, as it emerges in modern set theory and topology, and in contemporary poems, including narrative poems about modern cosmology.
The Great Demographic Illusion: Majority, Minority, and the Expanding American Mainstream
by Richard AlbaWhy the number of young Americans from mixed families is surging and what this means for the country’s future Americans are under the spell of a distorted and polarizing story about their country’s future―the majority-minority narrative―which contends that inevitable demographic changes will create a society with a majority made up of minorities for the first time in the United States’s history. The Great Demographic Illusion reveals that this narrative obscures a more transformative development: the rising numbers of young Americans from ethno-racially mixed families, consisting of one white and one nonwhite parent. Examining the unprecedented significance of mixed parentage in the twenty-first-century United States, Richard Alba looks at how young Americans with this background will play pivotal roles in the country’s demographic future.Assembling a vast body of evidence, Alba explores where individuals of mixed parentage fit in American society. Most participate in and reshape the mainstream, as seen in their high levels of integration into social milieus that were previously white dominated. Yet, racism is evident in the very different experiences of individuals with black-white heritage. Alba’s portrait squares in key ways with the history of immigrant-group assimilation, and indicates that, once again, mainstream American society is expanding and becoming more inclusive.Nevertheless, there are also major limitations to mainstream expansion today, especially in its more modest magnitude and selective nature, which hinder the participation of black Americans and some other people of color. Alba calls for social policies to further open up the mainstream by correcting the restrictions imposed by intensifying economic inequality, shape-shifting racism, and the impaired legal status of many immigrant families.Countering rigid demographic beliefs and predictions, The Great Demographic Illusion offers a new way of understanding American society and its coming transformation.
The Great East Japan Earthquake Disaster and Population Changes: A population geography of the Tohoku Region, Japan (SpringerBriefs in Population Studies)
by Takashi AbeThe book aims to clarify from a demographic and geographical perspective how population trends of the Tohoku Region were changed as a result of the GEJED. The author shows how different the 2011 GEJED was from past disasters in this region with regard to the impacts on population change in the Tohoku Region. He explains how the recent disaster is different from past disasters, based on the theories of the first and second demographic transitions. He also clarifies the causality between the extent of housing damage and mortality through geographical analysis. Furthermore, this book shows how migration patterns were changed before and after the GEJED, and it identifies the differences between the areas affected by the tsunami and by the nuclear power plant accident.Investigating the GEJED as a case study, the book presents a method to analyze the relationship between natural disasters and population change. This book is especially useful for researchers inthe fields of disaster, environment, and population to better understand the relationship between the environment and population.
The Great Equations: Breakthroughs in Science from Pythagoras to Heisenberg
by Robert P. Crease"Any reader who aspires to be scientifically literate will find this a good starting place."--Publishers Weekly While we may be familiar with some of science's greatest equations, we may not know that each and every equation emerged not in "Eureka!" moments but in years of cultural developments and scientific knowledge. With vignettes full of humor, drama, and eccentricity, philosopher and science historian Robert P. Crease shares the stories behind ten of history's greatest equations, from the "first equation," 1 + 1 = 2, which promises a rational, well-ordered world, to Heisenberg's uncertainty principle, which reveals the limitations of human knowledge. For every equation, Crease provides a brief account of who discovered it, what dissatisfactions lay behind its discovery, and what the equation says about the nature of our world.
The Great Leveler: Violence and the History of Inequality from the Stone Age to the Twenty-First Century
by Walter ScheidelAre mass violence and catastrophes the only forces that can seriously decrease economic inequality? To judge by thousands of years of history, the answer is yes. Tracing the global history of inequality from the Stone Age to today, Walter Scheidel shows that inequality never dies peacefully. Inequality declines when carnage and disaster strike and increases when peace and stability return. The Great Leveler is the first book to chart the crucial role of violent shocks in reducing inequality over the full sweep of human history around the world. Ever since humans began to farm, herd livestock, and pass on their assets to future generations, economic inequality has been a defining feature of civilization. Over thousands of years, only violent events have significantly lessened inequality. The "Four Horsemen" of leveling—mass-mobilization warfare, transformative revolutions, state collapse, and catastrophic plagues—have repeatedly destroyed the fortunes of the rich. Scheidel identifies and examines these processes, from the crises of the earliest civilizations to the cataclysmic world wars and communist revolutions of the twentieth century. Today, the violence that reduced inequality in the past seems to have diminished, and that is a good thing. But it casts serious doubt on the prospects for a more equal future. An essential contribution to the debate about inequality, The Great Leveler provides important new insights about why inequality is so persistent—and why it is unlikely to decline anytime soon.
The Great Leveler: Violence and the History of Inequality from the Stone Age to the Twenty-First Century (The Princeton Economic History of the Western World #114)
by Walter ScheidelAre mass violence and catastrophes the only forces that can seriously decrease economic inequality? To judge by thousands of years of history, the answer is yes. Tracing the global history of inequality from the Stone Age to today, Walter Scheidel shows that it never dies peacefully. The Great Leveler is the first book to chart the crucial role of violent shocks in reducing inequality over the full sweep of human history around the world. The “Four Horsemen” of leveling—mass-mobilization warfare, transformative revolutions, state collapse, and catastrophic plagues—have repeatedly destroyed the fortunes of the rich. Today, the violence that reduced inequality in the past seems to have diminished, and that is a good thing. But it casts serious doubt on the prospects for a more equal future. An essential contribution to the debate about inequality, The Great Leveler provides important new insights about why inequality is so persistent—and why it is unlikely to decline anytime soon.
The Great Mathemachicken 1: Hide and Go Beak (The Great Mathemachicken)
by Nancy KrulikA new young chapter book series about a chicken who loves math, science, and learning new things--by New York Times bestselling author Nancy Krulik for fans of Unlimited Squirrel and Bumble and Bee.Chirpy is a young chicken stuck in the family coop. But she's not like the other chickens who just sit around peck peck pecking all day. She's intrigued by the children who come home from a place called school. They always look so happy! (Well, most days.) So Chirpy sneaks onto the bus one morning, hides in the classroom . . . and discovers a true love of math. When she shares what she's learned with the other chickens, they think she's one kernel short of a cob. Even so, Chirpy is determined to find a formula for fowl success by pecking away. But when a hungry fox tries to attack the coop, can she find the equation for a simple solution? With lively two-color art throughout and a fun hands-on simple machine activity, this eggs-ellent hilarious young chapter book series starter is a Grade-A pick for emerging readers to get them eggs-ited about science and math.
The Great Mathemachicken 2: Have a Slice Day (The Great Mathemachicken #2)
by Nancy KrulikChirpy the chick makes a new friend who helps her discover how delicious fractions can be in the second book in New York Times bestselling author Nancy Krulik.After her feats of math and science derring-do, Chirpy is the talk of the coop. So when the chicks face a new problem—Clucky greedily chomping down on all the chow—they turn to their Great Mathemachicken for a solution.Wandering off to think, she meets Quackers, a very curious duck, who has a lot of his own questions. Unfortunately, Chirpy doesn&’t have answers. But she knows the best place to find them—school! So the pair hops on the bus to do some investigation, learning about reading and pizza, tally marks and fractions. And it turns out, fractions are yummy . . . and may be the answer to the chickens&’ coop conundrum.The second book in the Great Mathemachicken chapter book series, combines New York Times bestselling author Nancy Krulik&’s trademark humor and clever wordplay with hilarious and lively two-color artwork from the incredibly talented Charlie Alder, to create an engrossing and charming STEM-based adventure that will have young readers clucking for more.
The Great Mathemachicken 3: Sing High, Sing Crow (The Great Mathemachicken #3)
by Nancy KrulikChirpy the chick learns that music is math, and songs can solve noisy problems in the third book in the Great Mathemachicken series, written by New York Times bestselling author Nancy Krulik and illustrated by Charlie Alder.Chirpy the chicken is not feeling very chipper when a group of birds calling themselves the Crow Family Band keeps the coop awake with their loud singing. She&’s supposed to be the Great Mathemachicken, but math can&’t solve their sleep problems. Or can it? At school, Chirpy and Quackers are singing a new tune as they take a trip to the music classroom. There, they learn about musical notes, which seem to work an awful lot like fractions. And when she sees how Mrs. Zoober&’s students, singing high and low, together make one wonderful tune, she gets a egg-stra good idea how the chickens might join forces . . . and even add some feathered new friends to the mix, to make something truly special.The third book in the Great Mathemachicken chapter book series, combines New York Times bestselling author Nancy Krulik&’s trademark humor and clever wordplay with hilarious and lively two-color artwork from the incredibly talented Charlie Alder, to create an engrossing and charming STEAM-based adventure that will have young readers clucking for more.
The Great Philosophers: Turing (GREAT PHILOSOPHERS)
by Andrew HodgesAlan Turing's 1936 paper On Computable Numbers, introducing the Turing machine, was a landmark of twentieth-century thought. It settled a deep problem in the foundations of mathematics, and provided the principle of the post-war electronic computer. It also supplied a new approach to the philosophy of the mind.Influenced by his crucial codebreaking work in the Second World War, and by practical pioneering of the first electronic computers, Turing argued that all the operations of the mind could be performed by computers. His thesis, made famous by the wit and drama of the Turing Test, is the cornerstone of modern Artificial Intelligence.Here Andrew Hodges gives a fresh and critical analysis of Turing's developing thought, relating it to his extraordinary life, and also to the more recent ideas of Roger Penrose.