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Book Numerical Notation

    Book Details:
  • Author : Stephen Chrisomalis
  • Publisher : Cambridge University Press
  • Release : 2010-01-18
  • ISBN : 0521878187
  • Pages : 497 pages

Download or read book Numerical Notation written by Stephen Chrisomalis and published by Cambridge University Press. This book was released on 2010-01-18 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Numerical Notation

    Book Details:
  • Author : Stephen Chrisomalis
  • Publisher : Cambridge University Press
  • Release : 2010-01-18
  • ISBN : 1139485334
  • Pages : 497 pages

Download or read book Numerical Notation written by Stephen Chrisomalis and published by Cambridge University Press. This book was released on 2010-01-18 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a cross-cultural reference volume of all attested numerical notation systems (graphic, non-phonetic systems for representing numbers), encompassing more than 100 such systems used over the past 5,500 years. Using a typology that defies progressive, unilinear evolutionary models of change, Stephen Chrisomalis identifies five basic types of numerical notation systems, using a cultural phylogenetic framework to show relationships between systems and to create a general theory of change in numerical systems. Numerical notation systems are primarily representational systems, not computational technologies. Cognitive factors that help explain how numerical systems change relate to general principles, such as conciseness or avoidance of ambiguity, which apply also to writing systems. The transformation and replacement of numerical notation systems relates to specific social, economic, and technological changes, such as the development of the printing press or the expansion of the global world-system.

Book Reckonings

    Book Details:
  • Author : Stephen Chrisomalis
  • Publisher : MIT Press
  • Release : 2020-12-15
  • ISBN : 026236087X
  • Pages : 265 pages

Download or read book Reckonings written by Stephen Chrisomalis and published by MIT Press. This book was released on 2020-12-15 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book Source Book of Proposed Music Notation Reforms

Download or read book Source Book of Proposed Music Notation Reforms written by Gardner Read and published by Greenwood. This book was released on 1987-04-03 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to examine comprehensively the major systems of musical notation proposed during the past three centuries. Illustrating the many attempts to improve upon or replace the traditional system, this important work chronologically lists, describes, and critically analyzes the majority of the proposed reforms that have appeared over the years. No other book now available covers the subject in such depth or detail. It is not only a repository of suggested improvements in notation, but also a historical survey of the efforts made to simplify the standard practices.

Book Material Cultures of Music Notation

Download or read book Material Cultures of Music Notation written by Floris Schuiling and published by Routledge. This book was released on 2022-05-16 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book The British Chess Magazine

Download or read book The British Chess Magazine written by and published by . This book was released on 1910 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Ciphers of the Monks

Download or read book The Ciphers of the Monks written by David A. King and published by Franz Steiner Verlag. This book was released on 2001 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Book In Search of Juli  n Carrillo and Sonido 13

Download or read book In Search of Juli n Carrillo and Sonido 13 written by Alejandro L. Madrid and published by Currents in Latin American and. This book was released on 2015 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1920s, Mexican composer Julián Carrillo (1875-1965) developed a microtonal system he metaphorically called El Sonido 13 (The 13th Sound). Although his pioneering role as one of the first proponents of microtonality gave him a cult figure status among European avant-garde circles in the 1960s and 1970s, his music and legacy have remained largely ignored by scholars and critics. This book explores his ideas not only in relation to the historical moments of their inception but also in relation to the various cultural projects that kept them alive and resignified them into the 21st century.

Book The Number Sense

    Book Details:
  • Author : Stanislas Dehaene
  • Publisher : Oxford University Press
  • Release : 2011-04-29
  • ISBN : 0199910391
  • Pages : 352 pages

Download or read book The Number Sense written by Stanislas Dehaene and published by Oxford University Press. This book was released on 2011-04-29 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of how the human brain performs mathematical calculations is far from complete, but in recent years there have been many exciting breakthroughs by scientists all over the world. Now, in The Number Sense, Stanislas Dehaene offers a fascinating look at this recent research, in an enlightening exploration of the mathematical mind. Dehaene begins with the eye-opening discovery that animals--including rats, pigeons, raccoons, and chimpanzees--can perform simple mathematical calculations, and that human infants also have a rudimentary number sense. Dehaene suggests that this rudimentary number sense is as basic to the way the brain understands the world as our perception of color or of objects in space, and, like these other abilities, our number sense is wired into the brain. These are but a few of the wealth of fascinating observations contained here. We also discover, for example, that because Chinese names for numbers are so short, Chinese people can remember up to nine or ten digits at a time--English-speaking people can only remember seven. The book also explores the unique abilities of idiot savants and mathematical geniuses, and we meet people whose minute brain lesions render their mathematical ability useless. This new and completely updated edition includes all of the most recent scientific data on how numbers are encoded by single neurons, and which brain areas activate when we perform calculations. Perhaps most important, The Number Sense reaches many provocative conclusions that will intrigue anyone interested in learning, mathematics, or the mind. "A delight." --Ian Stewart, New Scientist "Read The Number Sense for its rich insights into matters as varying as the cuneiform depiction of numbers, why Jean Piaget's theory of stages in infant learning is wrong, and to discover the brain regions involved in the number sense." --The New York Times Book Review "Dehaene weaves the latest technical research into a remarkably lucid and engrossing investigation. Even readers normally indifferent to mathematics will find themselves marveling at the wonder of minds making numbers." --Booklist

Book International Critical Tables of Numerical Data  Physics  Chemistry and Technology  X ray data

Download or read book International Critical Tables of Numerical Data Physics Chemistry and Technology X ray data written by National Research Council (U.S.) and published by . This book was released on 1928 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Oxford Handbook of Numerical Cognition

Download or read book The Oxford Handbook of Numerical Cognition written by Roi Cohen Kadosh and published by Oxford Library of Psychology. This book was released on 2015 with total page 1217 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do we understand numbers? Do animals and babies have numerical abilities? Why do some people fail to grasp numbers, and how we can improve numerical understanding? Numbers are vital to so many areas of life: in science, economics, sports, education, and many aspects of everyday life from infancy onwards. Numerical cognition is a vibrant area that brings together scientists from different and diverse research areas (e.g., neuropsychology, cognitive psychology, developmental psychology, comparative psychology, anthropology, education, and neuroscience) using different methodological approaches (e.g., behavioral studies of healthy children and adults and of patients; electrophysiology and brain imaging studies in humans; single-cell neurophysiology in non-human primates, habituation studies in human infants and animals, and computer modeling). While the study of numerical cognition had been relatively neglected for a long time, during the last decade there has been an explosion of studies and new findings. This has resulted in an enormous advance in our understanding of the neural and cognitive mechanisms of numerical cognition. In addition, there has recently been increasing interest and concern about pupils' mathematical achievement in many countries, resulting in attempts to use research to guide mathematics instruction in schools, and to develop interventions for children with mathematical difficulties. This handbook brings together the different research areas that make up the field of numerical cognition in one comprehensive and authoritative volume. The chapters provide a broad and extensive review that is written in an accessible form for scholars and students, as well as educationalists, clinicians, and policy makers. The book covers the most important aspects of research on numerical cognition from the areas of development psychology, cognitive psychology, neuropsychology and rehabilitation, learning disabilities, human and animal cognition and neuroscience, computational modeling, education and individual differences, and philosophy. Containing more than 60 chapters by leading specialists in their fields, the Oxford Handbook of Numerical Cognition is a state-of-the-art review of the current literature.

Book The Chess Amateur

Download or read book The Chess Amateur written by and published by . This book was released on 1914 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The China Review  Or  Notes and Queries on the Far East

Download or read book The China Review Or Notes and Queries on the Far East written by Nicholas Belfield Dennys and published by . This book was released on 1881 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Index to Punjab Notes and Queries  V  I III

Download or read book Index to Punjab Notes and Queries V I III written by Asiatic Society of Bengal and published by . This book was released on 1910 with total page 1020 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Sociolinguistics   Soziolinguistik  Volume 3

Download or read book Sociolinguistics Soziolinguistik Volume 3 written by Ulrich Ammon and published by Walter de Gruyter. This book was released on 2008-07-14 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "SOCIOLINGUISTICS (AMMON) 3.TLBD HSK 3.3 2A E-BOOK".

Book A History of Greek Mathematics

Download or read book A History of Greek Mathematics written by Sir Thomas Little Heath and published by . This book was released on 1921 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book A History of Greek Mathematics

Download or read book A History of Greek Mathematics written by Sir Thomas Little Heath and published by . This book was released on 1921 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: