From One to Zero

From One to Zero
Author: Georges Ifrah
Publisher: Penguin Group
Total Pages: 530
Release: 1987
Genre: Mathematics
ISBN:

"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

The Universal History of Numbers
Author: Georges Ifrah
Publisher: Wiley
Total Pages: 660
Release: 2000-10-09
Genre: Mathematics
ISBN: 9780471393405

"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

The Universal History Of Numbers 1: The Worlds First Number-Systems
Author: Georges Ifrah
Publisher:
Total Pages: 0
Release: 2005
Genre: Numerals
ISBN: 9780143032571

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

The Universal History of Numbers
Author: Georges Ifrah
Publisher: Wiley
Total Pages: 656
Release: 1999-12-06
Genre: Mathematics
ISBN: 9780471375685

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

Number Words and Number Symbols

Number Words and Number Symbols
Author: Karl Menninger
Publisher: Courier Corporation
Total Pages: 514
Release: 2013-04-10
Genre: Mathematics
ISBN: 0486319776

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 Stepʻanos Tarōnecʻi

The Universal History of Stepʻanos Tarōnecʻi
Author: Tim Greenwood
Publisher: Oxford University Press
Total Pages: 375
Release: 2017-06-02
Genre: History
ISBN: 0192511068

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.

A Universal History of the Destruction of Books

A Universal History of the Destruction of Books
Author: Fernando Báez
Publisher:
Total Pages: 392
Release: 2008
Genre: History
ISBN:

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 Numbers 2: The Modern Number-System

The Universal History Of Numbers 2: The Modern Number-System
Author: Georges Ifrah
Publisher:
Total Pages: 0
Release: 2005
Genre:
ISBN: 9780143032588

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.

Uncountable

Uncountable
Author: David Nirenberg
Publisher: University of Chicago Press
Total Pages: 429
Release: 2021-10-20
Genre: History
ISBN: 022664698X

"From the time of Pythagoras, we have been tempted to treat numbers as the ultimate or only truth. This book tells the history of that habit of thought. But more, it argues that the logic of counting sacrifices much of what makes us human, and that we have a responsibility to match the objects of our attention to the forms of knowledge that do them justice. Humans have extended the insights and methods of number and mathematics to more and more aspects of the world, even to their gods and their religions.Today those powers are greater than ever, as computation is applied to virtually every aspect of human activity.But the rules of mathematics do not strictly apply to many things-from elementary particles to people-in the world.By subjecting such things to the laws of logic and mathematics, we gain some kinds of knowledge, but we also lose others. How do our choices about what parts of the world to subject to the logics of mathematics affect how we live and how we die?This question is rarely asked, but it is urgent, because the sciences built upon those laws now govern so much of our knowledge, from physics to psychology.Number and Knowledge sets out to ask it. In chapters proceeding chronologically from Ancient Greek philosophy and the rise of monotheistic religions to the emergence of modern physics and economics, the book traces how ideals, practices, and habits of thought formed over millennia have turned number into the foundation-stone of human claims to knowledge and certainty.But the book is also a philosophical and poetic exhortation to take responsibility for that history, for the knowledge it has produced, and for the many aspects of the world and of humanity that it ignores or endangers.To understand what can be counted and what can't is to embrace the ethics of purposeful knowing"--