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Leonhard Euler Life Work And Legacy

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Leonhard Euler

Leonhard Euler Book
Author : Robert E. Bradley,Ed Sandifer
Publisher : Elsevier
Release : 2007-03-20
ISBN : 9780080471297
Language : En, Es, Fr & De

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Book Description :

The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment’s most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world’s best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler’s life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler’s philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler’s innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science. - Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich - New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova - New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century

Leonhard Euler

Leonhard Euler Book
Author : Emil A. Fellmann
Publisher : Springer Science & Business Media
Release : 2007-04-05
ISBN : 3764375396
Language : En, Es, Fr & De

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Book Description :

Euler was not only by far the most productive mathematician in the history of mankind, but also one of the greatest scholars of all time. He attained, like only a few scholars, a degree of popularity and fame which may well be compared with that of Galilei, Newton, or Einstein. Moreover he was a cosmopolitan in the truest sense of the word; he lived during his first twenty years in Basel, was active altogether for more than thirty years in Petersburg and for a quarter of a century in Berlin. Leonhard Euler’s unusually rich life and broadly diversified activity in the immediate vicinity of important personalities which have made history, may well justify an exposition. This book is based in part on unpublished sources and comes right out of the current research on Euler. It is entirely free of formulae as it has been written for a broad audience with interests in the history of culture and science.

Leonhard Euler

Leonhard Euler Book
Author : Rajesh Thakur
Publisher : Prabhat Prakashan
Release : 2007-01-01
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

The year 2007 marks the 300th anniversary of the birth of one of the Enlightenments most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the worlds best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Eulers life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Eulers philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Eulers innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science.

The Legacy of Leonhard Euler

The Legacy of Leonhard Euler Book
Author : Lokenath Debnath
Publisher : World Scientific
Release : 2010
ISBN : 1848165269
Language : En, Es, Fr & De

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Book Description :

This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler''s works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler''s personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author''s historically motivated method of teaching, special attention is given to demonstrate that Euler''s work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler''s extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research. Erratum. Sample Chapter(s). Chapter 1: Mathematics Before Leonhard Euler (434 KB). Contents: Mathematics Before Leonhard Euler; Brief Biographical Sketch and Career of Leonhard Euler; Euler''s Contributions to Number Theory and Algebra; Euler''s Contributions to Geometry and Spherical Trigonometry; Euler''s Formula for Polyhedra, Topology and Graph Theory; Euler''s Contributions to Calculus and Analysis; Euler''s Contributions to the Infinite Series and the Zeta Function; Euler''s Beta and Gamma Functions and Infinite Products; Euler and Differential Equations; The Euler Equations of Motion in Fluid Mechanics; Euler''s Contributions to Mechanics and Elasticity; Euler''s Work on the Probability Theory; Euler''s Contributions to Ballistics; Euler and His Work on Astronomy and Physics. Readership: Undergraduate and graduate students of mathematics, mathematics education, physics, engineering and science. As well as professionals and prospective mathematical scientists.

Leonhard Euler

Leonhard Euler Book
Author : Ronald S. Calinger
Publisher : Princeton University Press
Release : 2019-12-03
ISBN : 0691196400
Language : En, Es, Fr & De

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Book Description :

An acclaimed biography of the Enlightenment's greatest mathematician This is the first full-scale biography of Leonhard Euler (1707–1783), one of the greatest mathematicians and theoretical physicists of all time. In this comprehensive and authoritative account, Ronald Calinger connects the story of Euler's eventful life to the astonishing achievements that place him in the company of Archimedes, Newton, and Gauss. Drawing on Euler's massive published works and correspondence, this biography sets Euler's work in its multilayered context—personal, intellectual, institutional, political, cultural, religious, and social. It is a story of nearly incessant accomplishment, from Euler's fundamental contributions to almost every area of pure and applied mathematics in his time—especially calculus, mechanics, and optics—to his advances in shipbuilding, telescopes, acoustics, ballistics, cartography, chronology, and music theory.

Leonhard Euler s Letters to a German Princess

Leonhard Euler s Letters to a German Princess Book
Author : Ronald S Calinger,Ekaterina (Katya) Denisova,Elena N Polyakhova
Publisher : Morgan & Claypool Publishers
Release : 2019-06-28
ISBN : 164327192X
Language : En, Es, Fr & De

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Book Description :

Leonhard Euler's Letters to a German Princess: A Milestone in the History of Physics Textbooks and More is a milestone in the history of physics textbooks and the instruction of women in the sciences. It also covers views of its author on epistemology, religion, and innovations in scientific equipment, including telescopes and microscopes. Today, 250 years later, we study this work of Euler's as a foundation for the history of physics teaching and analyze the letters from an historical and pedagogical point of view.

The Bloomsbury Companion to Kant

The Bloomsbury Companion to Kant Book
Author : Gary Banham,Dennis Schulting,Nigel Hems
Publisher : Bloomsbury Publishing
Release : 2015-01-29
ISBN : 1472586808
Language : En, Es, Fr & De

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Book Description :

Immanuel Kant is widely considered to be the most important and influential thinker of modern Europe and the late Enlightenment. His philosophy is extraordinarily wide-ranging and his influence has been pervasive throughout eighteenth, nineteenth and twentieth-century thought, in particular in the work of the German Idealists, and also in both Analytic and Continental philosophy today. Now available as a new and expanded edition in paperback, this accessible companion to Kant features more than 100 specially commissioned entries, written by a team of experts in the field, covering every aspect of his philosophy. The Bloomsbury Companion to Kant presents a comprehensive overview of the historical and philosophical context in which Kant wrote and the various features, themes and topics apparent in his thought. It also includes extensive synopses of all his major published works and a survey of the key lines of reception and influence including a new addition on Schopenhauer's reception of Kant. It concludes with a thorough bibliography of English language secondary literature, now expanded for this edition to include all cutting-edge publications in the area. This is an essential and practical research tool for those working in the field of eighteenth-century German philosophy and Kant.

Navigational Enterprises in Europe and its Empires 1730 1850

Navigational Enterprises in Europe and its Empires  1730   1850 Book
Author : Rebekah Higgitt,Richard Dunn,Peter Jones
Publisher : Springer
Release : 2016-02-19
ISBN : 1137520647
Language : En, Es, Fr & De

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Book Description :

This book explores the development of navigation in the eighteenth and nineteenth centuries. It examines the role of men of science, seamen and practitioners across Europe, and the realities of navigational practice, showing that old and new methods were complementary not exclusive, their use dependent on many competing factors.

How Euler Did Even More

How Euler Did Even More Book
Author : C. Edward Sandifer
Publisher : The Mathematical Association of America
Release : 2014-11-19
ISBN : 0883855844
Language : En, Es, Fr & De

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Book Description :

Sandifer has been studying Euler for decades and is one of the world’s leading experts on his work. This volume is the second collection of Sandifer’s “How Euler Did It” columns. Each is a jewel of historical and mathematical exposition. The sum total of years of work and study of the most prolific mathematician of history, this volume will leave you marveling at Euler’s clever inventiveness and Sandifer’s wonderful ability to explicate and put it all in context.

The Doctrine of Triangles

The Doctrine of Triangles Book
Author : Glen Van Brummelen
Publisher : Princeton University Press
Release : 2021-06-08
ISBN : 0691179417
Language : En, Es, Fr & De

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Book Description :

An interdisciplinary history of trigonometry from the mid-sixteenth century to the early twentieth The Doctrine of Triangles offers an interdisciplinary history of trigonometry that spans four centuries, starting in 1550 and concluding in the 1900s. Glen Van Brummelen tells the story of trigonometry as it evolved from an instrument for understanding the heavens to a practical tool, used in fields such as surveying and navigation. In Europe, China, and America, trigonometry aided and was itself transformed by concurrent mathematical revolutions, as well as the rise of science and technology. Following its uses in mid-sixteenth-century Europe as the "foot of the ladder to the stars" and the mathematical helpmate of astronomy, trigonometry became a ubiquitous tool for modeling various phenomena, including animal populations and sound waves. In the late sixteenth century, trigonometry increasingly entered the physical world through the practical disciplines, and its societal reach expanded with the invention of logarithms. Calculus shifted mathematical reasoning from geometric to algebraic patterns of thought, and trigonometry’s participation in this new mathematical analysis grew, encouraging such innovations as complex numbers and non-Euclidean geometry. Meanwhile in China, trigonometry was evolving rapidly too, sometimes merging with indigenous forms of knowledge, and with Western discoveries. In the nineteenth century, trigonometry became even more integral to science and industry as a fundamental part of the science and engineering toolbox, and a staple subject in high school classrooms. A masterful combination of scholarly rigor and compelling narrative, The Doctrine of Triangles brings trigonometry’s rich historical past full circle into the modern era.

Excursions in the History of Mathematics

Excursions in the History of Mathematics Book
Author : Israel Kleiner
Publisher : Springer Science & Business Media
Release : 2012-02-02
ISBN : 0817682686
Language : En, Es, Fr & De

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Book Description :

This book comprises five parts. The first three contain ten historical essays on important topics: number theory, calculus/analysis, and proof, respectively. Part four deals with several historically oriented courses, and Part five provides biographies of five mathematicians who played major roles in the historical events described in the first four parts of the work. Excursions in the History of Mathematics was written with several goals in mind: to arouse mathematics teachers’ interest in the history of their subject; to encourage mathematics teachers with at least some knowledge of the history of mathematics to offer courses with a strong historical component; and to provide an historical perspective on a number of basic topics taught in mathematics courses.

Emilie du Ch telet between Leibniz and Newton

Emilie du Ch  telet between Leibniz and Newton Book
Author : Ruth Hagengruber
Publisher : Springer Science & Business Media
Release : 2011-10-29
ISBN : 9789400720930
Language : En, Es, Fr & De

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Book Description :

Emilie du Châtelet was one of the most influential woman philosophers of the Enlightenment. Her writings on natural philosophy, physics, and mechanics had a decisive impact on important scientific debates of the 18th century. Particularly, she took an innovative and outstanding position in the controversy between Newton and Leibniz, one of the fundamental scientific discourses of that time. The contributions in this volume focus on this "Leibnitian turn". They analyze the nature and motivation of Emilie du Châtelet's synthesis of Newtonian and Leibnitian philosophy. Apart from the Institutions Physiques they deal with Emilie du Châtelet's annotated translation of Isaac Newton's Principia. The chapters presented here collectively demonstrate that her work was an essential contribution to the mediation between empiricist and rationalist positions in the history of science.

Euler s Pioneering Equation

Euler s Pioneering Equation Book
Author : Robin Wilson
Publisher : Oxford University Press
Release : 2018-02-22
ISBN : 0192514067
Language : En, Es, Fr & De

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Book Description :

In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a 'score for beauty'. While there were many worthy competitors, the winner was 'Euler's equation'. In 2004 Physics World carried out a similar poll of 'greatest equations', and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as "like a Shakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence". What is it that makes Euler's identity, eiπ + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a major development in mathematics, and opened up the idea of negative numbers; π an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Following a chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula.

Euler s Gem

Euler s Gem Book
Author : David S. Richeson
Publisher : Princeton University Press
Release : 2019-07-23
ISBN : 0691191999
Language : En, Es, Fr & De

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Book Description :

How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.

A Cultural History of the Senses in the Age of Enlightenment

A Cultural History of the Senses in the Age of Enlightenment Book
Author : Anne C. Vila
Publisher : Bloomsbury Publishing
Release : 2014-10-23
ISBN : 1474233104
Language : En, Es, Fr & De

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Book Description :

This volume examines the varied ways in which the senses were perceived afresh during the Enlightenment. In addition to introducing new philosophical and scientific models which sometimes upended the classic hierarchy of the senses, this period witnessed major changes in living and working habits, including urbanization, travel and exploration, the invention of new sonic and visual media, and the rise of comfort and pleasure as values that cut across a range of social classes. As this volume shows, those developments inspired a wealth of sensorially stimulating styles of design, art, music, poetry, foodstuffs, material goods and modes of worship and entertainment. The volume also demonstrates the period's countervailing concern with managing the senses, evident in fields like natural philosophy, medicine, education, religion, and public hygiene. Finally, it explores some of the Enlightenment's desensualizing tendencies, like the separation of sensuous body from discerning mind in certain arenas of science and manufacturing, and the late 18th-century shift away from a politics of publicity, or intense visual and aural scrutiny, toward the secret ballot. A Cultural History of the Senses in the Age of Enlightenment presents essays on the following topics: the social life of the senses; urban sensations; the senses in the marketplace; the senses in religion; the senses in philosophy and science; medicine and the senses; the senses in literature; art and the senses; and sensory media.

A Historian Looks Back

A Historian Looks Back Book
Author : Judith V. Grabiner
Publisher : MAA
Release : 2010-10-14
ISBN : 0883855720
Language : En, Es, Fr & De

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Book Description :

Judith Grabiner has written extensively on the history of mathematics, principally for mathematicians rather than historians. This collection of her work highlights the benefits of studying the development of mathematical ideas and the relationship between culture and mathematics. She also considers the struggles and successes of famous mathematicians with the aim of inspiring students and teachers alike. A large part of this book is the author's The Calculus as Algebra: J.-L. Lagrange, 1736-1813 which focuses on Lagrange's pioneering attempt to reduce the calculus to algebra. The nine other articles are on a broad range of other topics such as some widely held myths about the history of mathematics and the work of heavyweight mathematicians such as Descartes, Newton, Maclaurin and Lagrange. Six of these articles have won awards from the MAA for expository excellence. This collection is an inspiring resource for history of mathematics courses.

Ruggiero Boscovich s Theory of Natural Philosophy

Ruggiero Boscovich   s Theory of Natural Philosophy Book
Author : Luca Guzzardi
Publisher : Springer Nature
Release : 2020-08-31
ISBN : 3030520935
Language : En, Es, Fr & De

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Book Description :

Drawing on published works, correspondence and manuscripts, this book offers the most comprehensive reconstruction of Boscovich’s theory within its historical context. It explains the genesis and theoretical as well as epistemological underpinnings in light of the Jesuit tradition to which Boscovich belonged, and contrasts his ideas with those of Newton, Leibniz, and their legacy. Finally, it debates crucial issues in early-modern physical science such as the concept of force, the particle-like structure of matter, the idea of material points and the notion of continuity, and shares novel insights on Boscovich’s alleged influence on later developments in physics. With its attempt to reduce all natural forces to one single law, Boscovich’s Theory of Natural Philosophy, published in 1758, left a lasting impression on scientists and philosophers of every age regarding the fundamental unity of physical phenomena. The theory argues that every pair of material points is subject to one mutual force — and always the same force — which is their propensity to be mutually attracted or repelled, depending on their distance from one another. Furthermore, the action of this unique force is visualized through a famous diagram that fascinated generations of scientists. But his understanding of key terms of the theory — such as the notion of force involved and the very idea of a material point — is only ostensibly similar to our current conceptual framework. Indeed, it needs to be clarified within the plurality of contexts in which it has emerged rather than being considered in view of later developments. The book is recommended for scholars and students interested in the ideas of the early modern period, especially historians and philosophers of science, mathematicians and physicists with an interest in the history of the discipline, and experts on Jesuit science and philosophy.

Calendrical Calculations

Calendrical Calculations Book
Author : Edward M. Reingold,Nachum Dershowitz
Publisher : Cambridge University Press
Release : 2018-04-05
ISBN : 1108548032
Language : En, Es, Fr & De

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Book Description :

An invaluable resource for working programmers, as well as a fount of useful algorithmic tools for computer scientists, astronomers, and other calendar enthusiasts, The Ultimate Edition updates and expands the previous edition to achieve more accurate results and present new calendar variants. The book now includes coverage of Unix dates, Italian time, the Akan, Icelandic, Saudi Arabian Umm al-Qura, and Babylonian calendars. There are also expanded treatments of the observational Islamic and Hebrew calendars and brief discussions of the Samaritan and Nepalese calendars. Several of the astronomical functions have been rewritten to produce more accurate results and to include calculations of moonrise and moonset. The authors frame the calendars of the world in a completely algorithmic form, allowing easy conversion among these calendars and the determination of secular and religious holidays. LISP code for all the algorithms is available in machine-readable form.

Handbook On Timoshenko ehrenfest Beam And Uflyand Mindlin Plate Theories

Handbook On Timoshenko ehrenfest Beam And Uflyand  Mindlin Plate Theories Book
Author : Elishakoff Isaac E
Publisher : World Scientific
Release : 2019-10-29
ISBN : 9813236531
Language : En, Es, Fr & De

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Book Description :

The refined theory of beams, which takes into account both rotary inertia and shear deformation, was developed jointly by Timoshenko and Ehrenfest in the years 1911-1912. In over a century since the theory was first articulated, tens of thousands of studies have been performed utilizing this theory in various contexts. Likewise, the generalization of the Timoshenko-Ehrenfest beam theory to plates was given by Uflyand and Mindlin in the years 1948-1951.The importance of these theories stems from the fact that beams and plates are indispensable, and are often occurring elements of every civil, mechanical, ocean, and aerospace structure.Despite a long history and many papers, there is not a single book that summarizes these two celebrated theories. This book is dedicated to closing the existing gap within the literature. It also deals extensively with several controversial topics, namely those of priority, the so-called 'second spectrum' shear coefficient, and other issues, and shows vividly that the above beam and plate theories are unnecessarily overcomplicated.In the spirit of Einstein's dictum, 'Everything should be made as simple as possible but not simpler,' this book works to clarify both the Timoshenko-Ehrenfest beam and Uflyand-Mindlin plate theories, and seeks to articulate everything in the simplest possible language, including their numerous applications.This book is addressed to graduate students, practicing engineers, researchers in their early career, and active scientists who may want to have a different look at the above theories, as well as readers at all levels of their academic or scientific career who want to know the history of the subject. The Timoshenko-Ehrenfest Beam and Uflyand-Mindlin Plate Theories are the key reference works in the study of stocky beams and thick plates that should be given their due and remain important for generations to come, since classical Bernoulli-Euler beam and Kirchhoff-Love theories are applicable for slender beams and thin plates, respectively.Related Link(s)

Automate This

Automate This Book
Author : Christopher Steiner
Publisher : Penguin
Release : 2012-08-30
ISBN : 1101572159
Language : En, Es, Fr & De

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Book Description :

The rousing story of the last gasp of human agency and how today’s best and brightest minds are endeavoring to put an end to it. It used to be that to diagnose an illness, interpret legal documents, analyze foreign policy, or write a newspaper article you needed a human being with specific skills—and maybe an advanced degree or two. These days, high-level tasks are increasingly being handled by algorithms that can do precise work not only with speed but also with nuance. These “bots” started with human programming and logic, but now their reach extends beyond what their creators ever expected. In this fascinating, frightening book, Christopher Steiner tells the story of how algorithms took over—and shows why the “bot revolution” is about to spill into every aspect of our lives, often silently, without our knowledge. The May 2010 “Flash Crash” exposed Wall Street’s reliance on trading bots to the tune of a 998-point market drop and $1 trillion in vanished market value. But that was just the beginning. In Automate This, we meet bots that are driving cars, penning haiku, and writing music mistaken for Bach’s. They listen in on our customer service calls and figure out what Iran would do in the event of a nuclear standoff. There are algorithms that can pick out the most cohesive crew of astronauts for a space mission or identify the next Jeremy Lin. Some can even ingest statistics from baseball games and spit out pitch-perfect sports journalism indistinguishable from that produced by humans. The interaction of man and machine can make our lives easier. But what will the world look like when algorithms control our hospitals, our roads, our culture, and our national security? What hap­pens to businesses when we automate judgment and eliminate human instinct? And what role will be left for doctors, lawyers, writers, truck drivers, and many others? Who knows—maybe there’s a bot learning to do your job this minute.