Author: Stephen Chrisomalis
Publisher: Cambridge University Press
ISBN: 0521878187
Category : Mathematics
Languages : en
Pages : 497
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.
Numerical Notation
Author: Stephen Chrisomalis
Publisher: Cambridge University Press
ISBN: 0521878187
Category : Mathematics
Languages : en
Pages : 497
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.
Publisher: Cambridge University Press
ISBN: 0521878187
Category : Mathematics
Languages : en
Pages : 497
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.
Reckonings
Author: Stephen Chrisomalis
Publisher: MIT Press
ISBN: 026236087X
Category : Mathematics
Languages : en
Pages : 265
Book Description
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 Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated.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.
Publisher: MIT Press
ISBN: 026236087X
Category : Mathematics
Languages : en
Pages : 265
Book Description
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.
Source Book of Proposed Music Notation Reforms
Author: Gardner Read
Publisher: Greenwood
ISBN:
Category : Music
Languages : en
Pages : 504
Book Description
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.
Publisher: Greenwood
ISBN:
Category : Music
Languages : en
Pages : 504
Book Description
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.
Enlightening Symbols
Author: Joseph Mazur
Publisher: Princeton University Press
ISBN: 1400850118
Category : Mathematics
Languages : en
Pages : 311
Book Description
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.
Publisher: Princeton University Press
ISBN: 1400850118
Category : Mathematics
Languages : en
Pages : 311
Book Description
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.
The Ciphers of the Monks
Author: David A. King
Publisher: Franz Steiner Verlag
ISBN: 9783515076401
Category : Astrolabes
Languages : en
Pages : 518
Book Description
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.
Publisher: Franz Steiner Verlag
ISBN: 9783515076401
Category : Astrolabes
Languages : en
Pages : 518
Book Description
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.
International Critical Tables of Numerical Data, Physics, Chemistry and Technology: X-ray data
Author: National Research Council (U.S.)
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 496
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 496
Book Description
Library Association Record
Author: Library Association
Publisher:
ISBN:
Category : Bibliography
Languages : en
Pages : 746
Book Description
Proceedings of the 22d-33d annual conference of the Library Association in v. 1-12; proceedings of the 34th-44th, 47th-57th annual conference issued as a supplement to v. 13-23, new ser. v. 3-ser. 4, v. 1.
Publisher:
ISBN:
Category : Bibliography
Languages : en
Pages : 746
Book Description
Proceedings of the 22d-33d annual conference of the Library Association in v. 1-12; proceedings of the 34th-44th, 47th-57th annual conference issued as a supplement to v. 13-23, new ser. v. 3-ser. 4, v. 1.
Writing Around the Ancient Mediterranean
Author: Philippa M. Steele
Publisher:
ISBN: 1789258529
Category : Language Arts & Disciplines
Languages : en
Pages : 273
Book Description
Writing in the ancient Mediterranean existed against a backdrop of very high levels of interaction and contact. In the societies around its shores, writing was a dynamic practice that could serve many purposes from a tool used by elites to control resources and establish their power bases to a symbol of local identity and a means of conveying complex information and ideas. This volume presents a group of papers by members of the Contexts of and Relations between Early Writing Systems (CREWS) research team and visiting fellows, offering a range of different perspectives and approaches to problems of writing in the ancient Mediterranean. They focus on practices, viewing writing as something that people do within a wider social and cultural context, and on adaptations, considering the ways in which writing changed and was changed by the people using it.
Publisher:
ISBN: 1789258529
Category : Language Arts & Disciplines
Languages : en
Pages : 273
Book Description
Writing in the ancient Mediterranean existed against a backdrop of very high levels of interaction and contact. In the societies around its shores, writing was a dynamic practice that could serve many purposes from a tool used by elites to control resources and establish their power bases to a symbol of local identity and a means of conveying complex information and ideas. This volume presents a group of papers by members of the Contexts of and Relations between Early Writing Systems (CREWS) research team and visiting fellows, offering a range of different perspectives and approaches to problems of writing in the ancient Mediterranean. They focus on practices, viewing writing as something that people do within a wider social and cultural context, and on adaptations, considering the ways in which writing changed and was changed by the people using it.
Principles of Speech and Vocal Physiology
Author: Alexander Melville Bell
Publisher:
ISBN:
Category : English language
Languages : en
Pages : 268
Book Description
Publisher:
ISBN:
Category : English language
Languages : en
Pages : 268
Book Description
The Insects of Australia and New Zealand
Author: Robin John Tillyard
Publisher:
ISBN:
Category : Entomology
Languages : en
Pages : 714
Book Description
Publisher:
ISBN:
Category : Entomology
Languages : en
Pages : 714
Book Description