History Of Number

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History of Number

Author : Kay Owens,Glen Lean,Patricia Paraide,Charly Muke
Publisher : Springer
Page : 461 pages
File Size : 51,6 Mb
Release : 2017-10-24
Category : Education
ISBN : 9783319454832

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History of Number by Kay Owens,Glen Lean,Patricia Paraide,Charly Muke Pdf

This unique volume presents an ecocultural and embodied perspective on understanding numbers and their history in indigenous communities. The book focuses on research carried out in Papua New Guinea and Oceania, and will help educators understand humanity's use of numbers, and their development and change. The authors focus on indigenous mathematics education in the early years and shine light on the unique processes and number systems of non-European styled cultural classrooms. This new perspective for mathematics education challenges educators who have not heard about the history of number outside of Western traditions, and can help them develop a rich cultural competence in their own practice and a new vision of foundational number concepts such as large numbers, groups, and systems. Featured in this invaluable resource are some data and analyses that chief researcher Glendon Angove Lean collected while living in Papua New Guinea before his death in 1995. Among the topics covered: The diversity of counting system cycles, where they were established, and how they may have developed. A detailed exploration of number systems other than base 10 systems including: 2-cycle, 5-cycle, 4- and 6-cycle systems, and body-part tally systems. Research collected from major studies such as Geoff Smith's and Sue Holzknecht’s studies of Morobe Province's multiple counting systems, Charly Muke's study of counting in the Wahgi Valley in the Jiwaka Province, and Patricia Paraide's documentation of the number and measurement knowledge of her Tolai community. The implications of viewing early numeracy in the light of this book’s research, and ways of catering to diversity in mathematics education. In this volume Kay Owens draws on recent research from diverse fields such as linguistics and archaeology to present their exegesis on the history of number reaching back ten thousand years ago. Researchers and educators interested in the history of mathematical sciences will find History of Number: Evidence from Papua New Guinea and Oceania to be an invaluable resource.

The History of Number Systems: Place Value

Author : Gabriel Esmay
Publisher : Teacher Created Materials
Page : 35 pages
File Size : 46,8 Mb
Release : 2017-06-01
Category : Juvenile Nonfiction
ISBN : 9781480757943

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The History of Number Systems: Place Value by Gabriel Esmay Pdf

Learn the history of number systems with this engaging book! This text combines mathematics and literacy skills, and uses practical, real-world examples of problem solving to teach math and language arts content. Students will learn place value while reading about the number systems of the Egyptians and Romans, and also learn important vocabulary terms like cuneiform, binary systems, roman numerals, and more! The full-color images, math charts, and practice problems make learning math easy and fun. The table of contents, glossary, and index will further understanding of math and reading concepts. The Math Talk problems and Explore Math sidebars provide additional learning opportunities while developing students’ higher-order thinking skills.

Number Theory and Its History

Author : Oystein Ore
Publisher : Courier Corporation
Page : 400 pages
File Size : 42,8 Mb
Release : 2012-07-06
Category : Mathematics
ISBN : 9780486136431

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Number Theory and Its History by Oystein Ore Pdf

Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

Uncountable

Author : David Nirenberg,Ricardo L. Nirenberg
Publisher : University of Chicago Press
Page : 429 pages
File Size : 49,8 Mb
Release : 2024-05-09
Category : History
ISBN : 9780226828367

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Uncountable by David Nirenberg,Ricardo L. Nirenberg Pdf

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.

The History of Zero

Author : Tika Downey
Publisher : The Rosen Publishing Group, Inc
Page : 36 pages
File Size : 40,5 Mb
Release : 2010-01-01
Category : Juvenile Nonfiction
ISBN : 0823988694

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The History of Zero by Tika Downey Pdf

Looks at counting systems and the history of the number zero.

Number Words and Number Symbols

Author : Karl Menninger
Publisher : Courier Corporation
Page : 512 pages
File Size : 40,5 Mb
Release : 2013-04-10
Category : Mathematics
ISBN : 9780486319773

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Number Words and Number Symbols by Karl Menninger Pdf

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.

Numbers

Author : Graham Flegg
Publisher : Courier Corporation
Page : 304 pages
File Size : 44,5 Mb
Release : 2013-05-13
Category : Mathematics
ISBN : 9780486166513

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Numbers by Graham Flegg Pdf

Readable, jargon-free book examines the earliest endeavors to count and record numbers, initial attempts to solve problems by using equations, and origins of infinite cardinal arithmetic. "Surprisingly exciting." — Choice.

The Nothing that is

Author : Anonim
Publisher : Oxford University Press, USA
Page : 238 pages
File Size : 53,9 Mb
Release : 2000
Category : Mathematics
ISBN : 9780195128420

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The Nothing that is by Anonim Pdf

In the tradition of "Longitude, " a small and engagingly written book on the history and meaning of zero--a "tour de force" of science history that takes us through the hollow circle that leads to infinity. 32 illustrations.

History of the Theory of Numbers

Author : Leonard Eugene Dickson
Publisher : Courier Corporation
Page : 514 pages
File Size : 40,5 Mb
Release : 2012-01-27
Category : Mathematics
ISBN : 9780486154596

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History of the Theory of Numbers by Leonard Eugene Dickson Pdf

This 1st volume in the series History of the Theory of Numbers presents the material related to the subjects of divisibility and primality. This series is the work of a distinguished mathematician who taught at the University of Chicago for 4 decades and is celebrated for his many contributions to number theory and group theory. 1919 edition.

The Universal History of Numbers

Author : Georges Ifrah
Publisher : Wiley
Page : 660 pages
File Size : 53,6 Mb
Release : 2000-10-09
Category : Mathematics
ISBN : 0471393401

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The Universal History of Numbers by Georges Ifrah Pdf

"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 modern number system

Author : Georges Ifrah
Publisher : Harvill Press
Page : 1262 pages
File Size : 51,6 Mb
Release : 2000
Category : Computers
ISBN : 1860467911

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The modern number system by Georges Ifrah Pdf

From One to Zero

Author : Georges Ifrah
Publisher : Penguin Group
Page : 530 pages
File Size : 54,5 Mb
Release : 1987
Category : Numerals
ISBN : UVA:X001174557

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From One to Zero by Georges Ifrah Pdf

"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.

Number Words and Number Symbols

Author : Karl Menninger
Publisher : Unknown
Page : 480 pages
File Size : 50,8 Mb
Release : 1969
Category : Abacus
ISBN : OCLC:1014648256

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Number Words and Number Symbols by Karl Menninger Pdf

Number Theory

Author : André Weil
Publisher : Birkhäuser
Page : 377 pages
File Size : 41,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 1489904328

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Number Theory by André Weil Pdf

This book presents a historical overview of number theory. It examines texts that span some thirty-six centuries of arithmetical work, from an Old Babylonian tablet to Legendre’s Essai sur la Théorie des Nombres, written in 1798. Coverage employs a historical approach in the analysis of problems and evolving methods of number theory and their significance within mathematics. The book also takes the reader into the workshops of four major authors of modern number theory: Fermat, Euler, Lagrange and Legendre and presents a detailed and critical examination of their work.

A Mathematical History of the Golden Number

Author : Roger Herz-Fischler
Publisher : Courier Corporation
Page : 228 pages
File Size : 48,9 Mb
Release : 2013-12-31
Category : Mathematics
ISBN : 9780486152325

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A Mathematical History of the Golden Number by Roger Herz-Fischler Pdf

This comprehensive study traces the historic development of division in extreme and mean ratio ("the golden number") from its first appearance in Euclid's Elements through the 18th century. Features numerous illustrations.