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Fully updated and carefully revised, this new 2nd edition of History by Numbers stands alone as the only textbook on quantitative methods suitable for students of history. Even the numerically challenged will find inspiration. Taking a problem-solving approach and using authentic historical data, it describes each method in turn, including its origin, purpose, usefulness and associated pitfalls. The problems are developed gradually and with narrative skill, allowing readers to experience the moment of discovery for each of the interpretative outcomes. Quantitative methods are essential for the modern historian, and this lively and accessible text will prove an invaluable guide for anyone entering the discipline.
Readable, jargon-free book examines the earliest endeavors to count and record numbers, initial attempts to solve problems by using equations, and origins of infinite cardinal arithmetic. "Surprisingly exciting." — Choice.
The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century. Focusing on both foundational debates and practical use numbers, and showing how the story of numbers is intimately linked to that of the idea of equation, this book provides a valuable insight to numbers for undergraduate students, teachers, engineers, professional mathematicians, and anyone with an interest in the history of mathematics.
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.
Classic study discusses number sequence and language and explores written numerals and computations in many cultures. "The historian of mathematics will find much to interest him here both in the contents and viewpoint, while the casual reader is likely to be intrigued by the author's superior narrative ability." -Library Journal.282 illustrations. 1969 edition.
Every day in the United States, people test their luck in numerous lotteries, from state-run games to massive programs like Powerball and Mega Millions. Yet few are aware that the origins of today’s lotteries can be found in an African American gambling economy that flourished in urban communities in the mid-twentieth century. In Running the Numbers, Matthew Vaz reveals how the politics of gambling became enmeshed in disputes over racial justice and police legitimacy. As Vaz highlights, early urban gamblers favored low-stakes games built around combinations of winning numbers. When these games became one of the largest economic engines in nonwhite areas like Harlem and Chicago’s south side, police took notice of the illegal business—and took advantage of new opportunities to benefit from graft and other corrupt practices. Eventually, governments found an unusual solution to the problems of illicit gambling and abusive police tactics: coopting the market through legal state-run lotteries, which could offer larger jackpots than any underground game. By tracing this process and the tensions and conflicts that propelled it, Vaz brilliantly calls attention to the fact that, much like education and housing in twentieth-century America, the gambling economy has also been a form of disputed terrain upon which racial power has been expressed, resisted, and reworked.
The most ubiquitous feature of Harlem life between the world wars was the game of “numbers.” Thousands of wagers were placed daily. Playing the Numbers tells the story of this illegal form of gambling and the central role it played in the lives of African Americans who flooded into Harlem in the wake of World War I.
Presents available data and statistics on social, economic, political, and cultural developments in such areas as energy, housing, and health care.
Most of us hardly ever think about those ubiquitous things that hang—along with wreaths, light fixtures, and the occasional delivery attempt notice—at our front door: house numbers, our address. Taken for granted in the hustle and bustle of everyday life, house numbers have the crucial burden of organizing the places of the world—and they do it with zero fanfare or appreciation. In this unique illustrated history, Anton Tantner pays long-overdue tribute to those unassuming combinations of digits, showing that house numbers haven’t always existed, and that they have their own interesting history, one he spells out with vivid images from around the world. As Tantner shows, house numbers started their lives in a gray area between the military, tax authorities, and early police forces. With an engaging style, he moves from the introduction of house numbers in European towns in the eighteenth century, through the spread of the numbering system in the nineteenth century, and on into its global adoption today. He uncovers a contentious past, telling the stories of the many people who have resisted having their homes so systematically ordered. Along the way, his visual journey showcases a surprising diversity of house number displays, visiting historic addresses from the London house on Strand-on-the-Green that is numbered “Nought” to 1819 Ruston, Louisiana. The result is a story that will forever change the way you see a city, one that elevates the seemingly insignificant house number to an important place in the history of urban planning.
A landmark work in the field of mathematics, History of the Theory of Numbers - I traces the development of number theory from ancient civilizations to the early 20th century. Written by mathematician Leonard Eugene Dickson, this book is a comprehensive and accessible introduction to the history of one of the most fundamental branches of mathematics. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.