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From One to Zero

Author : Georges Ifrah
Publisher : Penguin Group
Page : 530 pages
File Size : 20,97 MB
Release : 1987
Category : Mathematics
ISBN :

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"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.

The Universal History of Numbers

Author : Georges Ifrah
Publisher : Wiley
Page : 660 pages
File Size : 32,34 MB
Release : 2000-10-09
Category : Mathematics
ISBN : 9780471393405

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"Georges Ifrah is the man. This book, quite simply, rules. . . . It is outstanding . . . a mind-boggling and enriching experience." –The Guardian (London) "Monumental. . . . a fascinating journey taking us through many different cultures."–The Times (London)"Ifrah’s book amazes and fascinates by the scope of its scholarship. It is nothing less than the history of the human race told through figures." –International Herald Tribune Now in paperback, here is Georges Ifrah’s landmark international bestseller–the first complete, universal study of the invention and evolution of numbers the world over. A riveting history of counting and calculating, from the time of the cave dwellers to the twentieth century, this fascinating volume brings numbers to thrilling life, explaining their development in human terms, the intriguing situations that made them necessary, and the brilliant achievements in human thought that they made possible. It takes us through the numbers story from Europe to China, via ancient Greece and Rome, Mesopotamia, Latin America, India, and the Arabic countries. Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought–and into how our understanding of numbers and the ways they shape our lives have changed and grown over thousands of years. "Dazzling."–Kirkus Reviews "Sure to transfix readers."–PublishersWeekly

The Universal History Of Numbers 1: The Worlds First Number-Systems

Author : Georges Ifrah
Publisher :
Page : 0 pages
File Size : 31,27 MB
Release : 2005
Category : Numerals
ISBN : 9780143032571

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Numbers Are One Of Two Creations (The Other Being The Alphabet) Of The Human Spirit Which Have Given Us Today S World. The Three Volumes Of The Universal History Of Numbers Are Probably The First Comprehensive History Of Numbers And Of Counting From Prehistory To The Modern Age. They Are Also The Story Of How The Human Race Has Learnt To Think Logically. In Volume 1, Georges Ifrah Leads The Reader Through The Whole Art And Science Of Numeration As It Has Developed All Over The World, From The Court Sages Of Mesopotamia And Egypt To The Priests And Astronomers Who Perfected The Mayan Calendar. We Meet Those Who Count To Four Anything More Is Lots ; We Discover The First Use Of Fingers And Toes For Counting; We Follow The Sequence Of Trial And Error That Chose A Number Of Bases For Counting Until Base 10, The Metric System, Was Put In Place. In The Far East They Perfected Many Centuries Ago A Method Of Counting With The Abacus That Remains Astonishing In Its Speed And Sophistication. Yet It Still Begs The Intriguing Question: How Did They Manage For All Those Hundreds Of Years Without The Zero? Amazing, Captivating And Enriching, The Universal History Of Numbers Is A Must Read Not Only For Specialists And Academics, But Also For The Average Reader Who Is Interested In The Development Of Civilization.

The Universal History of Numbers

Author : Georges Ifrah
Publisher : Harvill Press
Page : 410 pages
File Size : 25,81 MB
Release : 2000
Category : Mathematics
ISBN : 9781860467387

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First published in France in 1994.

Number Words and Number Symbols

Author : Karl Menninger
Publisher : Courier Corporation
Page : 514 pages
File Size : 43,42 MB
Release : 2013-04-10
Category : Mathematics
ISBN : 0486319776

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Classic study discusses number sequence and number language, then explores written numerals and computations in a wide range of cultures. 282 illustrations. "Superior narrative ability." — Library Journal.

The Universal History Of Numbers 2: The Modern Number-System

Author : Georges Ifrah
Publisher :
Page : 0 pages
File Size : 31,4 MB
Release : 2005
Category :
ISBN : 9780143032588

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Numbers Are One Of Two Creations (The Other Being The Alphabet) Of The Human Spirit Which Have Given Us Today S World. The Three Volumes Of The Universal History Of Numbers Are Probably The First Comprehensive History Of Numbers And Of Counting From Prehistory To The Modern Age. They Are Also The Story Of How The Human Race Has Learnt To Think Logically. In Volume 2, Georges Ifrah Continues The Story Of The Invention Of The Modern Number-System By Telling Us How Indian Civilization Became The Cradle Of Modern Numerals With The Invention Of The Place Value System And Of Zero. Twenty-One Geographically Different Indian Numerical Notations Of The Nine Numerals And The Zero Are Explained Individually With Illustrations. A Detailed Dictionary Of Indian Numerical Symbols, Recorded Alphabetically, Gives The Reader A Better Idea Of The Subtle And Complicated World Of Numbers Which Derived From The Genius Of Indian Mathematicians Working In The Late Middle Ages. It Was Arab Scholars Who Brought The System To The West. If Western Mathematical Progress Today Looks Dazzling, It Is Because It Stands On A Solid Non-Western Foundation. Amazing, Captivating And Enriching, The Universal History Of Numbers Is A Must Read Not Only For Specialists And Academics, But Also For The Average Reader Who Is Interested In The Development Of Civilization.

A Universal History of the Destruction of Books

Author : Fernando Báez
Publisher :
Page : 392 pages
File Size : 47,63 MB
Release : 2008
Category : History
ISBN :

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Examines the many reasons and motivations for the destruction of books throughout history, citing specific acts from the smashing of ancient Sumerian tablets to the looting of libraries in post-war Iraq.

The Universal History of Stepʻanos Tarōnecʻi

Author : Tim Greenwood
Publisher : Oxford University Press
Page : 375 pages
File Size : 16,37 MB
Release : 2017-06-02
Category : History
ISBN : 0192511068

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The Universal History (Patmutʻiwn tiezerakan) of Stepʻanos Tarōnecʻi is a history of the world in three books, composed by the Armenian scholar at the end of the tenth century and extending from the era of Abraham to the turn of the first millennium. It was completed in 1004/5 CE, at a time when the Byzantine Empire was expanding eastwards across the districts of historic Armenia and challenging key aspects of Armenian identity. Stepʻanos responded to these changing circumstances by looking to the past and fusing Armenian tradition with Persian, Roman, and Islamic history, thereby asserting that Armenia had a prominent and independent place in world history. The Universal History was intended to affirm and reinforce Armenian cultural memory. As well as assembling and revising extracts from existing Armenian texts, Stepʻanos also visited monastic communities where he learned about prominent Armenian scholars and ascetics who feature in his construction of the Armenian past. During his travels he gathered stories about local Armenian, Georgian, Persian, and Kurdish lords, which were then repeated in his composition. The Universal History therefore preserves a valuable narrative of events in Byzantium, Armenia, and the wider Middle East in the second half of the tenth century. This volume presents the first ever English translation of this work, drawing upon Manukyan's 2012 critical edition of the text, and is also the first study and translation of the Universal History to be published outside Armenia for a century. Fully annotated and with a substantial introduction, it not only provides an accessible guide to the text, drawing on the most up-to-date scholarship available, but also offers valuable new insights into the significance of an often overlooked work, the intellectual and literary contexts within which it was composed, and its place in the Armenian tradition.

The Universal History of Computing

Author : Georges Ifrah
Publisher :
Page : 424 pages
File Size : 47,68 MB
Release : 2001
Category : Computers
ISBN :

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A brilliant follow-up to a landmark international bestseller "Suppose every instrument could by command or by anticipation of need execute its function on its own; suppose that spindles could weave of their own accord, and plectra strike the strings of zithers by themselves; then craftsmen would have no need of hand-work, and masters have no need of slaves." –Aristotle Called the Indiana Jones of arithmetic, Georges Ifrah embarked in 1974 on a ten-year quest to discover where numbers come from and what they say about us. His first book, the highly praised Universal History of Numbers, drew from this remarkable journey, presented the first complete account of the invention and evolution of numbers the world over–and became an international bestseller. In The Universal History of Computing, Ifrah continues his exhilarating exploration into the fascinating world of numbers. In this fun, engaging but no less learned book, he traces the development of computing from the invention of the abacus to the creation of the binary system three centuries ago to the incredible conceptual, scientific, and technical achievements that made the first modern computers possible. He shows us how various cultures, scientists, and industries across the world struggled to break free of the tedious labor of mental calculation and, as a result, he reveals the evolution of the human mind. Evoking the excitement and joy that accompanied the grand mathematical undertakings throughout history, Ifrah takes us along as he revisits a multitude of cultures, from Roman times and the Chinese Common Era to twentieth-century England and America. We meet mathematicians, visionaries, philosophers, and scholars from every corner of the world and from every period of history. We witness the dead ends and regressions in the computer’s development, as well as the advances and illuminating discoveries. We learn about the births of the pocket calculator, the adding machine, the cash register, and even automata. We find out how the origins of the computer can be found in the European Renaissance, along with how World War II influenced the development of analytical calculation. And we explore such hot topics as numerical codes and the recent discovery of new kinds of number systems, such as "surreal" numbers. Adventurous and enthralling, The Universal History of Computing is an astonishing achievement that not only unravels the epic tale of computing, but also tells the compelling story of human intelligence–and how much farther we still have to go. GEORGES IFRAH is an independent scholar and former math teacher. E. F. Harding, the primary translator, is a statistician and mathematician who has taught at Aberdeen, Edinburgh, and Cambridge Universities. SOPHIE WOOD, cotranslator, is a specialist in technical translation from French. Ian Monk, cotranslator, has translated the works of Georges Perec and Daniel Pennac. ELIZABETH CLEGG, cotranslator, is also an interpreter who has worked on a number of government and international agency projects. Guido Waldman, cotranslator, has translated several classic literary works. In this engaging successor to The Universal History of Numbers, you’ll discover the entire story of the calculation of yesteryear and the computation of today. From the invention of the abacus to the creation of the binary system three centuries ago to the conceptual, scientific, and technical achievements that made the earliest computers possible, highly acclaimed author and mathematician Georges Ifrah provides an illuminating glimpse into humankind’s greatest intellectual tale: the story of computing. PRAISE FOR GEORGES IFRAH’S The Universal History of Numbers "Georges Ifrah is the man. This book, quite simply, rules. . . . It is outstanding . . . a mind-boggling and enriching experience." –The Guardian (London) "Monumental . . . a fascinating journey taking us through many different cultures."–The Times (London) "Ifrah’s book amazes and fascinates by the scope of its scholarship. It is nothing less than the history of the human race told through figures."–International Herald Tribune "Dazzling."–Kirkus Reviews "Sure to transfix readers."–Publishers Weekly

Numbers and the Making of Us

Author : Caleb Everett
Publisher : Harvard University Press
Page : 308 pages
File Size : 36,65 MB
Release : 2017-03-13
Category : Language Arts & Disciplines
ISBN : 0674504437

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“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