From One to Zero PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download From One to Zero PDF full book. Access full book title From One to Zero by Georges Ifrah. Download full books in PDF and EPUB format.
Author: Georges Ifrah
Publisher: Penguin Group
ISBN:
Category : Mathematics
Languages : en
Pages : 530
Get Book Here
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: Georges Ifrah
Publisher: Penguin Group
ISBN:
Category : Mathematics
Languages : en
Pages : 530
Get Book Here
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: Georges Ifrah
Publisher: Harvill Press
ISBN:
Category : Mathematics
Languages : en
Pages : 666
Get Book Here
Book Description
The book explores the science of numeration as it has developed all over the world, from Europe to China, via the Classical World, Mesopotamia, South America and, above all, India and the Arab lands.
Author: Georges Ifrah
Publisher:
ISBN: 9780143032571
Category : Numerals
Languages : en
Pages : 0
Get Book Here
Book Description
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.
Author: Georges Ifrah
Publisher: Wiley
ISBN: 9780471393405
Category : Mathematics
Languages : en
Pages : 660
Get Book Here
Book Description
"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
Author: Ekkehard Kopp
Publisher: Open Book Publishers
ISBN: 1800640978
Category : Mathematics
Languages : en
Pages : 280
Get Book Here
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: Caleb Everett
Publisher: Harvard University Press
ISBN: 0674504437
Category : Language Arts & Disciplines
Languages : en
Pages : 308
Get Book Here
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: David Nirenberg
Publisher: University of Chicago Press
ISBN: 022664703X
Category : Science
Languages : en
Pages : 429
Get Book Here
Book Description
Ranging from math to literature to philosophy, Uncountable explains how numbers triumphed as the basis of knowledge—and compromise our sense of humanity. Our knowledge of mathematics has structured much of what we think we know about ourselves as individuals and communities, shaping our psychologies, sociologies, and economies. In pursuit of a more predictable and more controllable cosmos, we have extended mathematical insights and methods to more and more aspects of the world. Today those powers are greater than ever, as computation is applied to virtually every aspect of human activity. Yet, in the process, are we losing sight of the human? When we apply mathematics so broadly, what do we gain and what do we lose, and at what risk to humanity? These are the questions that David and Ricardo L. Nirenberg ask in Uncountable, a provocative account of how numerical relations became the cornerstone of human claims to knowledge, truth, and certainty. There is a limit to these number-based claims, they argue, which they set out to explore. The Nirenbergs, father and son, bring together their backgrounds in math, history, literature, religion, and philosophy, interweaving scientific experiments with readings of poems, setting crises in mathematics alongside world wars, and putting medieval Muslim and Buddhist philosophers in conversation with Einstein, Schrödinger, and other giants of modern physics. The result is a powerful lesson in what counts as knowledge and its deepest implications for how we live our lives.
Author: Georges Ifrah
Publisher:
ISBN:
Category : Computers
Languages : en
Pages : 424
Get Book Here
Book Description
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
Author: Jacob Klein
Publisher: Courier Corporation
ISBN: 0486319814
Category : Mathematics
Languages : en
Pages : 246
Get Book Here
Book Description
Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.
Author: Stephen Chrisomalis
Publisher: Cambridge University Press
ISBN: 0521878187
Category : Mathematics
Languages : en
Pages : 497
Get Book Here
Book Description
This book is a cross-cultural reference volume of all attested numerical notation systems, encompassing more than 100 such systems used over the past 5,500 years. Using a typology that defies unilinear evolutionary models, Stephen Chrisomalis identifies five basic types of numerical notation systems, tracks relationships between systems, and creates a general model of change that incorporates social, historical, and cognitive factors.
