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Reckonings

Reckonings PDF 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 Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated.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.

Reckonings

Reckonings PDF 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 Most of these are barely known today; where they are known, they are often derided as cognitively cumbersome and outdated.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.

The Book of Numbers

The Book of Numbers PDF Author: John Goodman
Publisher: Createspace Independent Publishing Platform
ISBN: 9781979614849
Category :
Languages : en
Pages : 434

Book Description
This book displays large images of numerals used in all of the world's major numbering systems from antiquity to the present. Numbers 1 to 20 are displayed in almost all of these numbering systems, and the tens, hundreds, thousands and beyond are displayed where place value systems with zero are not used. These images are greatly enlarged so that those newly encountering them can appreciate and remember them more easily. Numbers are very important in almost every branch of learning. They are the basic essentials of trade and commerce as well as architecture, building and construction. Then there are the fields of mathematics and astronomy as well as almost every other branch of learning. The book begins with the numbering systems of the ancient Inca and Maya and then progresses to the numerals etched on oracle bones in China 3,400 years ago. The Chinese use of zero and negative numbers in rod numerals is also covered. Following this are the Babylonian cuneiform numbers and Egyptian hieroglyphic and hieratic numbers. Then the first European numbering system from Minoan Crete is followed by Phoenician, Attic and Etruscan numerals. Roman numerals and Ionian Greek alphabetic numerals are presented with an explanation of how they had their origin in the Phoenician alphabet. Then we move on to the partly Greek-derived numerals used by the Ethiopians who speak the Semitic Amharic language. The alphabetic Hebrew numerals of Greek inspiration are followed by the Arabic abjad numerals which assign numbers to the letters of the Arabic alphabet. Armenian and Georgian numbers are also displayed and then the Kharosthi numerals of Afghanistan and India. Emphasis is then placed on the Brahmi numerals of 4th century BC India which gave rise to all of the numbering systems of modern India and Southeast Asia as well as Tibet and Mongolia and even Europe. The Indian development of the concept of zero and a place value system is also covered in detail. Dozens of images are shown of numbers in the Devanagari, Gujarati, Punjabi, Bengali, Odiya, Telugu, Kannada, Tamil and Malayalam scripts. Then the stylistic but obsolete Sinhala numerals of Sri Lanka are followed by the Javanese, Burmese, Khmer, Thai and Lao numerals. Finally the Eastern Arabic numerals used in modern Arabic speaking countries appear with Persian variants. Next are the medieval European variants of Western Arabic numbers, including those from the Codex Vigilanus of the year 976 and numerals from 11th century France. The numerals of Bernelinus, a pupil of Pope Sylvester II, are followed by the 12th century numerals of Gerlandus of Besancon and the 13th century numerals of the English scholar Roger Bacon.

Numeral Types and Changes Worldwide

Numeral Types and Changes Worldwide PDF Author: Jadranka Gvozdanovic
Publisher: Walter de Gruyter
ISBN: 3110811197
Category : Language Arts & Disciplines
Languages : en
Pages : 289

Book Description
TRENDS IN LINGUISTICS is a series of books that open new perspectives in our understanding of language. The series publishes state-of-the-art work on core areas of linguistics across theoretical frameworks as well as studies that provide new insights by building bridges to neighbouring fields such as neuroscience and cognitive science. TRENDS IN LINGUISTICS considers itself a forum for cutting-edge research based on solid empirical data on language in its various manifestations, including sign languages. It regards linguistic variation in its synchronic and diachronic dimensions as well as in its social contexts as important sources of insight for a better understanding of the design of linguistic systems and the ecology and evolution of language. TRENDS IN LINGUISTICS publishes monographs and outstanding dissertations as well as edited volumes, which provide the opportunity to address controversial topics from different empirical and theoretical viewpoints. High quality standards are ensured through anonymous reviewing.

A Manual for Writers of Research Papers, Theses, and Dissertations, Eighth Edition

A Manual for Writers of Research Papers, Theses, and Dissertations, Eighth Edition PDF Author: Kate L. Turabian
Publisher: University of Chicago Press
ISBN: 0226816397
Category : Reference
Languages : en
Pages : 465

Book Description
A little more than seventy-five years ago, Kate L. Turabian drafted a set of guidelines to help students understand how to write, cite, and formally submit research writing. Seven editions and more than nine million copies later, the name Turabian has become synonymous with best practices in research writing and style. Her Manual for Writers continues to be the gold standard for generations of college and graduate students in virtually all academic disciplines. Now in its eighth edition, A Manual for Writers of Research Papers, Theses, and Dissertations has been fully revised to meet the needs of today’s writers and researchers. The Manual retains its familiar three-part structure, beginning with an overview of the steps in the research and writing process, including formulating questions, reading critically, building arguments, and revising drafts. Part II provides an overview of citation practices with detailed information on the two main scholarly citation styles (notes-bibliography and author-date), an array of source types with contemporary examples, and detailed guidance on citing online resources. The final section treats all matters of editorial style, with advice on punctuation, capitalization, spelling, abbreviations, table formatting, and the use of quotations. Style and citation recommendations have been revised throughout to reflect the sixteenth edition of The Chicago Manual of Style. With an appendix on paper format and submission that has been vetted by dissertation officials from across the country and a bibliography with the most up-to-date listing of critical resources available, A Manual for Writers remains the essential resource for students and their teachers.

Cardinal Numerals

Cardinal Numerals PDF Author: Ferdinand von Mengden
Publisher: Walter de Gruyter
ISBN: 3110220342
Category : Language Arts & Disciplines
Languages : en
Pages : 344

Book Description
"The book embeds an analysis of the Old English numeral system and its particularities into a broader, cross-linguistic discussion and provides a theoretical framework for the general study of numeral systems. A novel perspective on the morphosyntactic behaviour of numerals allows the author to test and refine some long standing tenets in the study of numerals." --Book Jacket.

Indo-European Numerals

Indo-European Numerals PDF Author: Jadranka Gvozdanović
Publisher: Walter de Gruyter
ISBN: 9783110113228
Category : Foreign Language Study
Languages : en
Pages : 964

Book Description
TRENDS IN LINGUISTICS is a series of books that open new perspectives in our understanding of language. The series publishes state-of-the-art work on core areas of linguistics across theoretical frameworks, as well as studies that provide new insights by approaching language from an interdisciplinary perspective. TRENDS IN LINGUISTICS considers itself a forum for cutting-edge research based on solid empirical data on language in its various manifestations, including sign languages. It regards linguistic variation in its synchronic and diachronic dimensions as well as in its social contexts as important sources of insight for a better understanding of the design of linguistic systems and the ecology and evolution of language. TRENDS IN LINGUISTICS publishes monographs and outstanding dissertations as well as edited volumes, which provide the opportunity to address controversial topics from different empirical and theoretical viewpoints. High quality standards are ensured through anonymous reviewing. To discuss your book idea or submit a proposal, please contact Birgit Sievert.

A Typology of Numeral Systems in South Asian Languages

A Typology of Numeral Systems in South Asian Languages PDF Author: Kumari Mamta
Publisher: Cambridge Scholars Publishing
ISBN: 1036402274
Category : Language Arts & Disciplines
Languages : en
Pages : 238

Book Description
This book takes a journey into the fascinating world of numerical systems in South Asian languages, offering a unique exploration of the intricate patterns, cultural nuances, and historical significance embedded within the numerical frameworks of the given languages. It blends the discovery of new facts with the reinterpretation of existing ones, while developing a methodology for investigating number systems that can be applied to languages around the world. It is a groundbreaking study that unveils the complex linguistic patterns and socio-cultural significance of numerical systems in South Asian languages, offering valuable insights for researchers, linguists, anthropologists, and language enthusiasts alike. By bridging the gap between linguistics, anthropology, cultural studies, and mathematics, this book encourages interdisciplinary dialogue and collaboration by examining numeral systems from multiple angles.

Numerical Notation

Numerical Notation PDF 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.

The Numeral Systems of Nigerian Languages

The Numeral Systems of Nigerian Languages PDF Author: Ndimele, Ozo-mekuri
Publisher: M & J Grand Orbit Communications
ISBN: 9785412741
Category : Language Arts & Disciplines
Languages : en
Pages : 384

Book Description
The papers in this collection present the numeral systems of more than twenty Nigerian languages. The papers mainly emanate from a workshop on the numeral systems of Nigerian languages organised by the Linguistic Association of Nigeria during its 23rd Annual Conference which was held at the University of Port Harcourt, Nigeria. The workshop arose from awareness created by Dr. Eugene S.L. Chan on the need for Nigerian linguists to document this severely endangered but very important aspect of natural languages. The quantum of mathematical computations - addition, multiplication, subtraction, or a combination of two or all of these - involved in the numeral systems of Nigerian languages is remarkable. The papers reveal that a variety of numeral systems do exist, such as: binary, decimal, incomplete decimal, duodecimal, quinary, quaternary, ternary, mixed, body-part tally systems, and much more. The book is a resource about how different languages manipulate their numeral systems.

The numeral system of Proto-Niger-Congo

The numeral system of Proto-Niger-Congo PDF Author: Konstantin Pozdniakov
Publisher: Language Science Press
ISBN: 3961100985
Category : Language Arts & Disciplines
Languages : en
Pages : 435

Book Description
This book proposes the reconstruction of the Proto-Niger-Congo numeral system. The emphasis is placed on providing an exhaustive account of the distribution of forms by families, groups, and branches. The big data bases used for this purpose open prospects for both working with the distribution of words that do exist and with the distribution of gaps in postulated cognates. The distribution of filled cells and gaps is a useful tool for reconstruction. Following an introduction in the first chapter, the second chapter of this book is devoted to the study of various uses of noun class markers in numeral terms. The third chapter deals with the alignment by analogy in numeral systems. Chapter 4 offers a step-by-step reconstruction of number systems of the proto-languages underlying each of the twelve major NC families, on the basis of the step-by-step-reconstruction of numerals within each family. Chapter 5 deals with the reconstruction of the Proto-Niger-Congo numeral system on the basis of the step-by-step-reconstructions offered in Chapter 4. Chapter 6 traces the history of the numerals of Proto-Niger-Congo, reconstructed in Chapter 5, in each individual family of languages.