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Author: Stephen Chrisomalis
Publisher: MIT Press
ISBN: 026236087X
Category : Mathematics
Languages : en
Pages : 265
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Book Description
Insights from the history of numerical notation suggest that how humans write numbers is an active choice involving cognitive and social factors. Over the past 5,000 years, more than 100 methods of numerical notation--distinct ways of writing numbers--have been developed and used by specific communities. Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated. In Reckonings, Stephen Chrisomalis considers how humans past and present use numerals, reinterpreting historical and archaeological representations of numerical notation and exploring the implications of why we write numbers with figures rather than words.
Author: Stephen Chrisomalis
Publisher: MIT Press
ISBN: 026236087X
Category : Mathematics
Languages : en
Pages : 265
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Book Description
Insights from the history of numerical notation suggest that how humans write numbers is an active choice involving cognitive and social factors. Over the past 5,000 years, more than 100 methods of numerical notation--distinct ways of writing numbers--have been developed and used by specific communities. Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated. In Reckonings, Stephen Chrisomalis considers how humans past and present use numerals, reinterpreting historical and archaeological representations of numerical notation and exploring the implications of why we write numbers with figures rather than words.
Author: Georges Ifrah
Publisher: Penguin Group
ISBN:
Category : Mathematics
Languages : en
Pages : 530
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Book Description
"Traces the development of numerical systems in Sumerian, Egyptian, Greek, Roman, Chinese, Babylonian, and Mayan cultures, and examines the origins of the Hindu-Arabic numerals we use today"--Back cover.
Author: Caleb Everett
Publisher: Harvard University Press
ISBN: 0674504437
Category : Language Arts & Disciplines
Languages : en
Pages : 308
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Book Description
“A fascinating book.” —James Ryerson, New York Times Book Review A Smithsonian Best Science Book of the Year Winner of the PROSE Award for Best Book in Language & Linguistics Carved into our past and woven into our present, numbers shape our perceptions of the world far more than we think. In this sweeping account of how the invention of numbers sparked a revolution in human thought and culture, Caleb Everett draws on new discoveries in psychology, anthropology, and linguistics to reveal the many things made possible by numbers, from the concept of time to writing, agriculture, and commerce. Numbers are a tool, like the wheel, developed and refined over millennia. They allow us to grasp quantities precisely, but recent research confirms that they are not innate—and without numbers, we could not fully grasp quantities greater than three. Everett considers the number systems that have developed in different societies as he shares insights from his fascinating work with indigenous Amazonians. “This is bold, heady stuff... The breadth of research Everett covers is impressive, and allows him to develop a narrative that is both global and compelling... Numbers is eye-opening, even eye-popping.” —New Scientist “A powerful and convincing case for Everett’s main thesis: that numbers are neither natural nor innate to humans.” —Wall Street Journal
Author: Ekkehard Kopp
Publisher: Open Book Publishers
ISBN: 1800640978
Category : Mathematics
Languages : en
Pages : 282
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Book Description
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.
Author: Matthew Vaz
Publisher: University of Chicago Press
ISBN: 022669044X
Category : History
Languages : en
Pages : 204
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Book Description
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.
Author: Peter S. Rudman
Publisher: Prometheus Books
ISBN: 1615921761
Category : Mathematics
Languages : en
Pages : 316
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Book Description
In this fascinating discussion of ancient mathematics, author Peter Rudman does not just chronicle the archeological record of what mathematics was done; he digs deeper into the more important question of why it was done in a particular way. Why did the Egyptians use a bizarre method of expressing fractions? Why did the Babylonians use an awkward number system based on multiples of 60? Rudman answers such intriguing questions, arguing that some mathematical thinking is universal and timeless. The similarity of the Babylonian and Mayan number systems, two cultures widely separated in time and space, illustrates the argument. He then traces the evolution of number systems from finger counting in hunter-gatherer cultures to pebble counting in herder-farmer cultures of the Nile and Tigris-Euphrates valleys, which defined the number systems that continued to be used even after the invention of writing. With separate chapters devoted to the remarkable Egyptian and Babylonian mathematics of the era from about 3500 to 2000 BCE, when all of the basic arithmetic operations and even quadratic algebra became doable, Rudman concludes his interpretation of the archeological record. Since some of the mathematics formerly credited to the Greeks is now known to be a prior Babylonian invention, Rudman adds a chapter that discusses the math used by Pythagoras, Eratosthenes, and Hippasus, which has Babylonian roots, illustrating the watershed difference in abstraction and rigor that the Greeks introduced. He also suggests that we might improve present-day teaching by taking note of how the Greeks taught math. Complete with sidebars offering recreational math brainteasers, this engrossing discussion of the evolution of mathematics will appeal to both scholars and lay readers with an interest in mathematics and its history.
Author: Denise Schmandt-Besserat
Publisher: University of Texas Press
ISBN: 0292774869
Category : Social Science
Languages : en
Pages : 277
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Book Description
An “utterly lucid, thoughtfully illustrated, and thoroughly convincing” book on the origins of the world’s oldest known system of writing (American Journal of Archaeology). One of American Scientist's Top 100 Books on Science, 2001 In 1992, the University of Texas Press published Before Writing, Volume I: From Counting to Cuneiform and Before Writing, Volume II: A Catalog of Near Eastern Tokens. In these two volumes, Denise Schmandt-Besserat set forth her groundbreaking theory that the cuneiform script invented in the Near East in the late fourth millennium B.C.—the world's oldest known system of writing—derived from an archaic counting device. How Writing Came About draws material from both volumes of this scholarly work to present Schmandt-Besserat’s theory in an abridged version for a wide public and classroom audience. Based on the analysis and interpretation of a selection of 8,000 tokens or counters from 116 sites in Iran, Iraq, the Levant, and Turkey, it documents the immediate precursor of the cuneiform script./DIV
Author: Laurence Sigler
Publisher: Springer Science & Business Media
ISBN: 1461300797
Category : Mathematics
Languages : en
Pages : 736
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Book Description
First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.
Author: Kim Plofker
Publisher: Princeton University Press
ISBN: 9780691120676
Category : History
Languages : en
Pages : 386
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Book Description
Based on extensive research in Sanskrit sources, Mathematics in India chronicles the development of mathematical techniques and texts in South Asia from antiquity to the early modern period. Kim Plofker reexamines the few facts about Indian mathematics that have become common knowledge--such as the Indian origin of Arabic numerals--and she sets them in a larger textual and cultural framework. The book details aspects of the subject that have been largely passed over in the past, including the relationships between Indian mathematics and astronomy, and their cross-fertilizations with Islamic scientific traditions. Plofker shows that Indian mathematics appears not as a disconnected set of discoveries, but as a lively, diverse, yet strongly unified discipline, intimately linked to other Indian forms of learning. Far more than in other areas of the history of mathematics, the literature on Indian mathematics reveals huge discrepancies between what researchers generally agree on and what general readers pick up from popular ideas. This book explains with candor the chief controversies causing these discrepancies--both the flaws in many popular claims, and the uncertainties underlying many scholarly conclusions. Supplementing the main narrative are biographical resources for dozens of Indian mathematicians; a guide to key features of Sanskrit for the non-Indologist; and illustrations of manuscripts, inscriptions, and artifacts. Mathematics in India provides a rich and complex understanding of the Indian mathematical tradition. **Author's note: The concept of "computational positivism" in Indian mathematical science, mentioned on p. 120, is due to Prof. Roddam Narasimha and is explored in more detail in some of his works, including "The Indian half of Needham's question: some thoughts on axioms, models, algorithms, and computational positivism" (Interdisciplinary Science Reviews 28, 2003, 1-13).
Author: David M. Levy
Publisher: Simon and Schuster
ISBN: 1628726989
Category : History
Languages : en
Pages : 302
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Book Description
A fascinating, insightful, and wonderfully written exploration of the document. Like Henry Petroski’s The Pencil, David Levy’s Scrolling Forward takes a common, everyday object, the document, and illuminates what it reveals about us, both in the past and in the digital age. We are surrounded daily by documents of all kinds—letters and credit card receipts, business memos and books, television images and web pages—yet we rarely stop to reflect on their significance. Now, in this period of digital transition, our written forms as well as our reading and writing habits are being disturbed and transformed by new technologies and practices. An expert on information and written forms, and a former researcher for the document pioneer Xerox, Levy masterfully navigates these concerns, offering reassurance while sharing his own excitement about many of the new kinds of emerging documents. He demonstrates how today’s technologies, particularly the personal computer and the World Wide Web, are having analogous effects to past inventions—such as paper, the printing press, writing implements, and typewriters—in shaping how we use documents and the forms those documents take. Scrolling Forward lets us see the continuity between the written forms of today and those of the past. Skyhorse Publishing, as well as our Arcade imprint, are proud to publish a broad range of books for readers interested in history--books about World War II, the Third Reich, Hitler and his henchmen, the JFK assassination, conspiracies, the American Civil War, the American Revolution, gladiators, Vikings, ancient Rome, medieval times, the old West, and much more. While not every title we publish becomes a New York Times bestseller or a national bestseller, we are committed to books on subjects that are sometimes overlooked and to authors whose work might not otherwise find a home.
