Volume 1 was published in 1776, going thru six printings; 2-3 in 1781; 4-6 in 1788-89. It was a major literary achievement of the 18th century, adopted as a model for the methodologies of historians.The books cover the Roman Empire after Marcus Aurelius, from 180 to 1590. They take as their material the behavior & decisions that led to the eventual fall of the Empire in East & West, offering explanations.Gibbon is called the 1st modern historian of ancient Rome. By virtue of its mostly objective approach & accurate use of reference material, his work was adopted as a model for the methodologies of 19-20th century historians. His pessimism & detached irony was common to the historical genre of his era. Although he published other books, Gibbon devoted much of his life (1772-89) to this one work. His Memoirs of My Life & Writings is devoted largely to his reflections on how the book virtually became his life. He compared the publication of each succeeding volume to a newborn.Gibbon offers an explanation for why the Roman Empire fell, a task difficult because of few comprehensive written sources, tho he wasn't the only historian to tackle the subject. Most of his ideas are taken from what few relevant records were available: those of Roman moralists of the 4-5th centuries. According to Gibbon, the Empire succumbed to barbarian invasions because of lost of civic virtue. They'd become weak, outsourcing defence to barbarian mercenaries, who became so numerous & ingrained that they took over. Romans had become effeminate, incapable of tough military lifestyles. In addition, Christianity created belief that a better life existed after death, fostering indifference to the present, sapping patriotism. Its comparative pacifism tended to hamper martial spirit. Lastly, like other Enlightenment thinkers, he held in contempt the Middle Ages as a priest-ridden, superstitious, dark age. It wasn't until his age of reason that history could progress.

    Nobody is perfect. And that includes five of the greatest scientists in history—Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, and Albert Einstein. But the mistakes that these great luminaries made helped advance science. Indeed, as Mario Livio explains, science thrives on error, advancing when erroneous ideas are disproven.As a young scientist, Einstein tried to conceive of a way to describe the evolution of the universe at large, based on General Relativity—his theory of space, time, and gravity. Unfortunately he fell victim to a misguided notion of aesthetic simplicity. Fred Hoyle was an eminent astrophysicist who ridiculed an emerging theory about the origin of the universe that he dismissively called “The Big Bang.” The name stuck, but Hoyle was dead wrong in his opposition.They, along with Darwin (a blunder in his theory of Natural Selection), Kelvin (a blunder in his calculation of the age of the earth), and Pauling (a blunder in his model for the structure of the DNA molecule), were brilliant men and fascinating human beings. Their blunders were a necessary part of the scientific process. Collectively they helped to dramatically further our knowledge of the evolution of life, the Earth, and the universe.

    Even after more than three centuries and the revolutions of Einsteinian relativity and quantum mechanics, Newtonian physics continues to account for many of the phenomena of the observed world, and Newtonian celestial dynamics is used to determine the orbits of our space vehicles.This completely new translation, the first in 270 years, is based on the third (1726) edition, the final revised version approved by Newton; it includes extracts from the earlier editions, corrects errors found in earlier versions, and replaces archaic English with contemporary prose and up-to-date mathematical forms. Newton's principles describe acceleration, deceleration, and inertial movement; fluid dynamics; and the motions of the earth, moon, planets, and comets. A great work in itself, the Principia also revolutionized the methods of scientific investigation. It set forth the fundamental three laws of motion and the law of universal gravity, the physical principles that account for the Copernican system of the world as emended by Kepler, thus effectively ending controversy concerning the Copernican planetary system.The illuminating Guide to the Principia by I. Bernard Cohen, along with his and Anne Whitman's translation, will make this preeminent work truly accessible for today's scientists, scholars, and students.

    H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.

    He discovered the Conway groups in mathematical symmetry, and invented the aptly named surreal numbers, as well as the cult classic Game of Life--more than a cool fad, Life demonstrates how simplicity generates complexity and the game provides an analogy for all mathematics and the entire universe. Moving to Princeton in 1987, as a mathemagician he deployed cards, ropes, dice, coat hangers, and even the odd Slinky as props to extend his winning imagination and share his mathy obsessions with signature contagion. He is a jet-setting ambassador-at-large for the beauties of all things mathematical.Genius At Play is an intimate investigation into the mind of an endearing genius, laying bare Conway's personal and professional idiosyncrasies. The intimacy comes courtesy of the man himself. He generously granted Roberts full access, though not without the occasional grudge and grumble: "Oh hell," he'd say. "You're not going to put that in the book. Are you?!?

    The Text Was Designed To Familiarize Students With The Foundations And Principles Of Computer Science And To Strengthen The Students' Ability To Carry Out Formal And Rigorous Mathematical Arguments. In The New Fourth Edition, Author Peter Linz Has Offered A Straightforward, Uncomplicated Treatment Of Formal Languages And Automata And Avoids Excessive Mathematical Detail So That Students May Focus On And Understand The Underlying Principles. In An Effort To Further The Accessibility And Comprehension Of The Text, The Author Has Added New Illustrative Examples Throughout.

    There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular “Good Math” blog, you’ll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird.Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing.If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark’s book will both entertain and enlighten you.

    Douglas Hubbard helps us create a path to know the answer to almost any question in business, in science, or in life . . . Hubbard helps us by showing us that when we seek metrics to solve problems, we are really trying to know something better than we know it now. How to Measure Anything provides just the tools most of us need to measure anything better, to gain that insight, to make progress, and to succeed." -Peter Tippett, PhD, M.D. Chief Technology Officer at CyberTrust and inventor of the first antivirus software "Doug Hubbard has provided an easy-to-read, demystifying explanation of how managers can inform themselves to make less risky, more profitable business decisions. We encourage our clients to try his powerful, practical techniques." -Peter Schay EVP and COO of The Advisory Council "As a reader you soon realize that actually everything can be measured while learning how to measure only what matters. This book cuts through conventional cliches and business rhetoric and offers practical steps to using measurements as a tool for better decision making. Hubbard bridges the gaps to make college statistics relevant and valuable for business decisions." -Ray Gilbert EVP Lucent "This book is remarkable in its range of measurement applications and its clarity of style. A must-read for every professional who has ever exclaimed, 'Sure, that concept is important, but can we measure it?'" -Dr. Jack Stenner Cofounder and CEO of MetraMetrics, Inc.

    Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.

    Just about everyone has at least heard of Albert Einstein's formulation of 1905, which came into the world as something of an afterthought. But far fewer can explain his insightful linkage of energy to mass. David Bodanis offers an easily grasped gloss on the equation. Mass, he writes, "is simply the ultimate type of condensed or concentrated energy," whereas energy "is what billows out as an alternate form of mass under the right circumstances." Just what those circumstances are occupies much of Bodanis's book, which pays homage to Einstein and, just as important, to predecessors such as Maxwell, Faraday, and Lavoisier, who are not as well known as Einstein today. Balancing writerly energy and scholarly weight, Bodanis offers a primer in modern physics and cosmology, explaining that the universe today is an expression of mass that will, in some vastly distant future, one day slide back to the energy side of the equation, replacing the "dominion of matter" with "a great stillness"--a vision that is at once lovely and profoundly frightening. Without sliding into easy psychobiography, Bodanis explores other circumstances as well; namely, Einstein's background and character, which combined with a sterling intelligence to afford him an idiosyncratic view of the way things work--a view that would change the world. --Gregory McNamee

    Dozens died of radiation poisoning, fallout contaminated half the continent, and thousands fell ill.In Chernobyl, Serhii Plokhy draws on new sources to tell the dramatic stories of the firefighters, scientists, and soldiers who heroically extinguished the nuclear inferno. He lays bare the flaws of the Soviet nuclear industry, tracing the disaster to the authoritarian character of the Communist party rule, the regime's control over scientific information, and its emphasis on economic development over all else.Today, the risk of another Chernobyl looms in the mismanagement of nuclear power in the developing world. A moving and definitive account, Chernobyl is also an urgent call to action.

    As a celebrated cultural critic and a writer for national publications like The Atlantic and Harper's, Alan Jacobs has spent his adult life belonging to communities that often clash in America's culture wars. And in his years of confronting the big issues that divide us--political, social, religious--Jacobs has learned that many of our fiercest disputes occur not because we're doomed to be divided, but because the people involved simply aren't thinking.Most of us don't want to think, Jacobs writes. Thinking is trouble. Thinking can force us out of familiar, comforting habits, and it can complicate our relationships with like-minded friends. Finally, thinking is slow, and that's a problem when our habits of consuming information (mostly online) leave us lost in the spin cycle of social media, partisan bickering, and confirmation bias.In this smart, endlessly entertaining book, Jacobs diagnoses the many forces that act on us to prevent thinking--forces that have only worsened in the age of Twitter, "alternative facts," and information overload--and he also dispels the many myths we hold about what it means to think well. (For example: It's impossible to "think for yourself.")Drawing on sources as far-flung as novelist Marilynne Robinson, basketball legend Wilt Chamberlain, British philosopher John Stuart Mill, and Christian theologian C.S. Lewis, Jacobs digs into the nuts and bolts of the cognitive process, offering hope that each of us can reclaim our mental lives from the impediments that plague us all. Because if we can learn to think together, maybe we can learn to live together, too.

    Drawing heavily on the author's own real-world experiences, the book stresses design and analysis. Coverage is divided into two parts, the first being a general guide to techniques for the design and analysis of computer algorithms. The second is a reference section, which includes a catalog of the 75 most important algorithmic problems. By browsing this catalog, readers can quickly identify what the problem they have encountered is called, what is known about it, and how they should proceed if they need to solve it. This book is ideal for the working professional who uses algorithms on a daily basis and has need for a handy reference. This work can also readily be used in an upper-division course or as a student reference guide. THE ALGORITHM DESIGN MANUAL comes with a CD-ROM that contains: * a complete hypertext version of the full printed book. * the source code and URLs for all cited implementations. * over 30 hours of audio lectures on the design and analysis of algorithms are provided, all keyed to on-line lecture notes.

    This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.

    In this remarkable symphony of essays adapted and expanded from his ground-breaking, critically acclaimed podcast, John Green reviews different facets of the human-centered planet - from the QWERTY keyboard and Halley's Comet to Penguins of Madagascar - on a five-star scale.Complex and rich with detail, the Anthropocene's reviews have been praised as 'observations that double as exercises in memoiristic empathy', with over 10 million lifetime downloads. John Green's gift for storytelling shines throughout this artfully curated collection about the shared human experience; it includes beloved essays along with six all-new pieces exclusive to the book.