Numerical Notation
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Numerical Notation
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Author : Stephen Chrisomalis
language : en
Publisher: Cambridge University Press
Release Date : 2010-01-18
Numerical Notation written by Stephen Chrisomalis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-18 with Mathematics categories.
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.
Systems Of Numerical Notation
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Author : S. S. Harris
language : en
Publisher:
Release Date : 1958
Systems Of Numerical Notation written by S. S. Harris and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with Computer programming categories.
Reckonings
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Author : Stephen Chrisomalis
language : en
Publisher: MIT Press
Release Date : 2020-12-15
Reckonings written by Stephen Chrisomalis and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-15 with Mathematics categories.
Insights from the history of numerical notation suggest that how humans write numbers is an active choice involving cognitive and social factors. Over the past 5,000 years, more than 100 methods of numerical notation--distinct ways of writing numbers--have been developed and used by specific communities. Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated. In Reckonings, Stephen Chrisomalis considers how humans past and present use numerals, reinterpreting historical and archaeological representations of numerical notation and exploring the implications of why we write numbers with figures rather than words.
The Comparative History Of Numerical Notation
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Author : Stephen Chrisomalis
language : en
Publisher:
Release Date : 2003
The Comparative History Of Numerical Notation written by Stephen Chrisomalis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Numeration categories.
The Ciphers Of The Monks
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Author : David A. King
language : en
Publisher: Franz Steiner Verlag
Release Date : 2001
The Ciphers Of The Monks written by David A. King and has been published by Franz Steiner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Astrolabes categories.
This is the first comprehensive study of an ingenious number-notation from the Middle Ages that was devised by monks and mainly used in monasteries. A simple notation for representing any number up to 99 by a single cipher, somehow related to an ancient Greek shorthand, first appeared in early-13th-century England, brought from Athens by an English monk. A second, more useful version, due to Cistercian monks, is first attested in the late 13th century in what is today the border country between Belgium and France: with this any number up to 9999 can be represented by a single cipher. The ciphers were used in scriptoria - for the foliation of manuscripts, for writing year-numbers, preparing indexes and concordances, numbering sermons and the like, and outside the scriptoria - for marking the scales on an astronomical instrument, writing year-numbers in astronomical tables, and for incising volumes on wine-barrels. Related notations were used in medieval and Renaissance shorthands and coded scripts. This richly-illustrated book surveys the medieval manuscripts and Renaissance books in which the ciphers occur, and takes a close look at an intriguing astrolabe from 14th-century Picardy marked with ciphers. With Indices. "Mit Kings luzider Beschreibung und Bewertung der einzelnen Funde und ihrer Beziehungen wird zugleich die Forschungsgeschichte - die bis dato durch Widerspruechlichkeit und Diskontinuit�t gepr�gt ist - umfassend aufgearbeitet." Zeitschrift fuer Germanistik.
A Brief History Of Systems Of Numerical Notation And Methods Of Computation
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Author : Helen Winton Davis
language : en
Publisher:
Release Date : 1955
A Brief History Of Systems Of Numerical Notation And Methods Of Computation written by Helen Winton Davis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Mathematical notation categories.
Number Notation Or Singing Made Easy With An Equally Simple Scheme Of Abbreviated Long Hand Writing To Save Space When Writing Words Under The Number Notes To Which Is Added An Illustrated Chapter On The Penny Whistle By Pater Pagi
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Author :
language : en
Publisher:
Release Date : 1884
Number Notation Or Singing Made Easy With An Equally Simple Scheme Of Abbreviated Long Hand Writing To Save Space When Writing Words Under The Number Notes To Which Is Added An Illustrated Chapter On The Penny Whistle By Pater Pagi written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1884 with categories.
Enlightening Symbols
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Author : Joseph Mazur
language : en
Publisher: Princeton University Press
Release Date : 2016-12-06
Enlightening Symbols written by Joseph Mazur and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-06 with Mathematics categories.
An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted. Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics. From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.
Number Notation Or Singing Made Easy
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Author : Pater Pagi
language : en
Publisher: Forgotten Books
Release Date : 2017-07-20
Number Notation Or Singing Made Easy written by Pater Pagi and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-20 with Music categories.
Excerpt from Number-Notation, or Singing Made Easy: A Simple System for the Use of Elementary (and Other) Vocalists, With an Equally Simple Scheme of Abbreviated Long-Hand Writing; Designed Also for the Use of the Same Persons to Enable Them to Save Space When Writing Words Under the Number-Notes I am not aware that he was ever accustomed or enabled to dispense with the use of notes scored in the usual manner (in his Hallelujah he merely figures the various notes according to the respective Keys); but in my System of number-notation I do altogether dispense with the established usage of notes, and score by numbers. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Material Cultures Of Music Notation
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Author : Floris Schuiling
language : en
Publisher: Routledge
Release Date : 2022-05-16
Material Cultures Of Music Notation written by Floris Schuiling and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-16 with Music categories.
Material Cultures of Music Notation brings together a collection of essays that explore a fundamental question in the current landscape of musicology: how can writing and reading music be understood as concrete, material practices in a wider cultural context? Drawing on interdisciplinary approaches from musicology, media studies, performance studies, and more, the chapters in this volume offer a wide array of new perspectives that foreground the materiality of music notation. From digital scores to the transmission of manuscripts in the Middle Ages, the volume deliberately disrupts boundaries of discipline, historical period, genre, and tradition, by approaching notation's materiality through four key interrelated themes: knowledge, the body, social relations, and technology. Together, the chapters capture vital new work in an essential emerging area of scholarship.