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The Universal History of Numbers
From Prehistory to the Invention of the Computer
by Georges Ifrah
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A riveting history of counting and calculating from the time of the cave dwellers to the late twentieth century, The Universal History of Numbers is the first complete account of the invention and evolution of numbers the world over. As different cultures around the globe struggled with problems of harvests, constructing buildings, educating their citizens, and exploring the wonders of science, each civilization created its own unique and wonderful mathematical system.
Dubbed the "Indiana Jones of numbers," Georges Ifrah traveled all over the world for ten years to uncover the little-known details of this amazing story. From India to China, and from Egypt to Chile, Ifrah talked to mathematicians, historians, archaeologists, and philosophers. He deciphered ancient writing on crumbling walls; scrutinized stones, tools, cylinders, and cones; and examined carved bones, elaborately knotted counting strings, and X-rays of the contents of never-opened ancient clay accounting balls. Conveying all the excitement and joy of the process of discovery, Ifrah writes in a delightful storytelling style, recounting a plethora of intriguing and amusing anecdotes along the way.
From the stories of the various ingenious ways in which different early cultures used their bodies to count and perfected the use of the first calculating machine-the hand-to the invention of different styles of tally sticks, up through the creation of alphabetic numbers, the Greek and Roman numeric systems, and the birth of modern numerals in ancient India, we are taken on a marvelous journey through humankind's grand intellectual epic.
We meet those who only count to four-anything more is "a lot"; discover the first uses of counting fingers and toes; learn of the amazing ability of abacus users to calculate with brilliant efficiency; and ponder the intriguing question: How did many cultures manage to calculate for all those centuries without a zero? Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought-and into the ways our understanding of numbers and how they shape our lives has slowly changed and grown over thousands of years.
In this illuminating and entertaining work, you'll learn about:
The earliest calculating machine--the hand
Tally sticks--accounting for beginners
How the Sumerians did their sums
Greek and Roman numerals
The invention of alphabetic numerals
The achievements of the Mayan civilization
India and the birth of modern numbers
Indo-Arabic numerals and how they reached the West
The final stage of numerical notation
Praise for The Universal History of Numbers
"Let us start the year with a bang. Georges Ifrah is the man. This book, quite simply, rules. . . . It is outstanding, and not least because it has been written from first principles, for people like you and me, curious but by no means expert . . . a mind-boggling and enriching experience."-The Guardian
"Pursuing the invention of numbers across civilizations, Georges Ifrah has written the grand story of human ingenuity. . . . His amazing undertaking, describing humankind's relationship with numbers from Paleolithic times to the computer age, spans the world from Mayan ruins to Indian museums, from Egyptian hieroglyphics to Greek philosophers to Chinese libraries."-Le Figaro
"Follow the astonishing path of Georges Ifrah, the Indiana Jones of arithmetic . . . who decided in 1974 to begin the search for his Grail, the origin of numbers. Journeying over mountains and across valleys, he discovered how-from Mayan to Chinese, from Indian to Egyptian-humankind has juggled numbers."-Express
"Ifrah's book amazes and fascinates . . . It is nothing less than thehistory of the human race told through figures."-International Herald Tribune
Subjects
math, numbers, history, Numeration, HistoryShowing 3 featured editions. View all 3 editions?
Edition | Availability |
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1
The Universal History of Numbers: From Prehistory to the Invention of the Computer
2000, John Wiley & Sons Inc, Wiley
Hardcover
0471375683 9780471375685
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aaaa
Libraries near you:
WorldCat
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2
Universal History of Numbers: The Modern Number System
2000, Penguin Random House
in English
1860467911 9781860467912
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zzzz
Libraries near you:
WorldCat
|
3
Universal History of Numbers: The World's First Number Systems
2000, Penguin Random House
in English
1860467903 9781860467905
|
zzzz
Libraries near you:
WorldCat
|
Book Details
Published in
New York, USA
Table of Contents
Foreward | v | |
List of Abbreviations | vi | |
Introduction - Where "Numbers" Come From | xv | |
Chapter 1 - Explaining the Origins: Ethnological and Psychological Approaches to the Sources of Numbers | 3 | |
Chapter 2 - Base Numbers and the Birth of Number-systems | 23 | |
Chapter 3 - The Earliest Calculating Machine - The Hand | 47 | |
Chapter 4 - How Cro-Magnon Man Counted | 62 | |
Chapter 5 - Tally Sticks: Accounting for Beginners | 64 | |
Chapter 6 - Numbers on Strings | 68 | |
Chapter 7 - Number, Value and Money | 72 | |
Chapter 8 - Numbers of Sumer | 77 | |
Chapter 9 - The Enigma of the Sexagesimal Base | 91 | |
Chapter 10 - The Development of Written Numerals in Elam and Mesopotamia | 96 | |
Chapter 11 - The Decipherment of a Five-thousand-year-old System | 109 | |
Chapter 12 - How the Sumerians Did Their Sums | 121 | |
Chapter 13 - Mesopotamian Numbering after the Eclipse of Sumer | 134 | |
Chapter 14 - The Numbers of Ancient Egypt | 162 | |
Chapter 15 - Counting in the Times of the Cretan and Hittite Kings | 178 | |
Chapter 16 - Greek and Roman Numerals | 182 | |
Chapter 17 - Letters and Numbers | 212 | |
Chapter 18 - The Invention of Alphabetic Numerals | 227 | |
Chapter 19 - Other Alphabetic Number-systems | 240 | |
Chapter 20 - Magic, Mysticism, Divination, and Other Secrets | 248 | |
Chapter 21 - The Numbers of Chinese Civilisation | 263 | |
Chapter 22 - The Amazing Achievements of the Maya | 297 | |
Chapter 23 - The Final State of Numerical Notation | 323 | |
Chapter 24 - Part I - Indian Civilisation: the Cradle of Modern Numerals | 356 | |
Chapter 24 - Part II - Dictionary of the Numeral Symbols of Indian Civilisation | 440 | |
Chapter 25 - Indian Numerals and Calculation in the Islamic World | 511 | |
Chapter 26 - The Slow Progress of Indo-Arabic Numerals in Western Europe | 577 | |
Chapter 27 - Beyond Perfection | 592 | |
Bibliography | 601 | |
Index of Names and Subjects | 616 |
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