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.

    Robert Ferguson's new interpretation of the Viking Age, whilst rejecting the cliches aims to return some of the violence to the mix. He argues that the Viking raids were qualitatively different than anything that had gone before precisely because of this violence, and his largely narrative account gives plentiful details of battles and conquest alongside evidence for their more peaceful activities. The thread which runs through the account though is the confrontation between a Heathen Scandinavia and the Christian kingdoms to its south and west, and the processes whereby the Viking kingdoms came to be Christianised.

    In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.From the Hardcover edition.

    Based on her work at the Santa Fe Institute and drawing on its interdisciplinary strategies, Mitchell brings clarity to the workings of complexity across a broad range of biological, technological, and social phenomena, seeking out the general principles or laws that apply to all of them. Richly illustrated, Complexity: A Guided Tour--winner of the 2010 Phi Beta Kappa Book Award in Science--offers a wide-ranging overview of the ideas underlying complex systems science, the current research at the forefront of this field, and the prospects for its contribution to solving some of the most important scientific questions of our time.

    His vision was soon realized: At its height, the Ottoman realm extended from Hungary to the Persian Gulf, from North Africa to the Caucasus. The Ottoman Empire was one of the largest and most influential empires in world history. For centuries, Europe watched with fear as the Ottomans steadily advanced their rule across the Balkans. Yet travelers and merchants were irresistibly drawn toward Ottoman lands by their fascination with the Orient and the lure of profit. Although it survived for over six centuries, the history of the Ottoman Empire is too often colored by the memory of its bloody final throes. In this magisterial work Caroline Finkel lucidly recounts the epic story of the Ottoman Empire from its origins in the thirteenth century through its destruction on the battlefields of World War I.

    Darrell Huff runs the gamut of every popularly used type of statistic, probes such things as the sample study, the tabulation method, the interview technique, or the way the results are derived from the figures, and points up the countless number of dodges which are used to fool rather than to inform.

    They continue to fascinate & inspire us. Classical art & architecture, drama & epic, philosophy & politics--these are the foundations of Western civilization. In The Classical World, eminent classicist Robin Lane Fox chronicles this vast sweep of history from Homer to the reign of Augustus. From the Peloponnesian War thru the creation of Athenian democracy, from the turbulent empire of Alexander the Great to the creation of the Roman Empire & the emergence of Christianity, he serves as a witty & trenchant guide. He introduces extraordinary heroes & horrific villains, great thinkers & bloodthirsty tyrants.

    As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.

    

    Indeed, he sees the fall of Rome as a time of horror and dislocation that destroyed a great civilization, throwing the inhabitants of the West back to a standard of living typical of prehistoric times. Attacking contemporary theories with relish and making use of modern archaeological evidence, he looks at both the wider explanations for the disintegration of the Roman world and also the consequences for the lives of everyday Romans, who were caught in a world of marauding barbarians, and economic collapse.The book recaptures the drama and violence of the last days of the Roman world, and reminds us of the very real terrors of barbarian occupation. Equally important, Ward-Perkins contends that a key problem with the new way of looking at the end of the ancient world is that all difficulty and awkwardness is smoothed out into a steady and positive transformation of society. Nothing ever goes badly wrong in this vision of the past. The evidence shows otherwise.Up-to-date and brilliantly written, combining a lively narrative with the latest research and thirty illustrations, this superb volume reclaims the drama, the violence, and the tragedy of the fall of Rome.From Back Cover:For decades, the dominant view amongst historians has been that the 'fall of Rome' was a largely peaceful transition to Germanic rule, within a period of positive cultural evolution. Now, Bryan Ward-Perkins argues for what you always thought but didn't dare say: the Roman Empire really did fall to violent invasion; the 'transformation' of the Roman world saw a catastrophic collapse of living standards; and the 'Dark Ages' were genuinely sombre.

    Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

    Written by an author of great repute. The history of the 20th century is Marx's legacy. Not since Jesus Christ has an obscure pauper inspired such global devotion – or been so calamitously misinterpreted. The end of the century is a good moment to strip away the mythology and try to rediscover Marx the man. There have been many thousands of books on Marxism, but almost all are written by academics and zealots for whom it is a near blaspemy to treat him as a figure of flesh and blood.In the past few years there have been excellent and successful biographies of many eminent Victorians and yet the most influential of them has remained untouched. In this book Francis Wheen, for the first time, presens Marx the man in all his brilliance and frailty – as a poverty-stricken Prussian emigre who became a middle-class English gentleman; as an angry agitator who spent much of his adult life in scholarly silence in the British Museum Reading Room; as a gregarious and convivial host who fell out with almost all his friends; as a devoted family man who impregnated his housemaid; as a deeply earnest philosopher who loved drink, cigars and jokes.

    Because it is so thoroughly researched and up-to-date, it is also the kind of indispensable handbook that deserves a place on every early modernist's bookshelf.— American Historical Review

    And two giants at the foundations of modern science were converging, step-by-step, on the answer: Albert Einstein, an young, obscure German physicist experimenting with measuring time using telegraph networks and with the coordination of clocks at train stations; and the renowned mathematician Henri Poincaré, president of the French Bureau of Longitude, mapping time coordinates across continents. Each found that to understand the newly global world, he had to determine whether there existed a pure time in which simultaneity was absolute or whether time was relative.Esteemed historian of science Peter Galison has culled new information from rarely seen photographs, forgotten patents, and unexplored archives to tell the fascinating story of two scientists whose concrete, professional preoccupations engaged them in a silent race toward a theory that would conquer the empire of time.

    Massive in its scope, and yet totally accessible, A HISTORY OF KNOWLEDGE covers not only all the great theories and discoveries of the human race, but also explores the social conditions, political climates, and individual men and women of genius that brought ideas to fruition throughout history."Crystal clear and concise...Explains how humankind got to know what it knows."Clifton FadimanSelected by the Book-of-the-Month Club and the History Book Club