Relevant bibliographies by topics / Hindu-Arabic numbers

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Hindu-Arabic numbers'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Hindu-Arabic numbers"

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Cooper, Linda L., and Ming C. Tomayko. "Understanding place value." Teaching Children Mathematics 17, no. 9 (2011): 558–68. http://dx.doi.org/10.5951/teacchilmath.17.9.0558.

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Eludiora, Safiriyu Ijiyemi, and Muhammad Auwal Abubakar. "A HINDU-ARABIC TO HAUSA NUMBER TRANSCRIPTION SYSTEM." MALAYSIAN JOURNAL OF COMPUTING 6, no. 1 (2021): 727. http://dx.doi.org/10.24191/mjoc.v6i1.11526.

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The invention of numeration system is regarded as one of the great accomplishments of man, as it greatly assist man in expressing his communication needs and also serve as an important tool in language pedagogy, historical linguistics, comparative study of African languages and computational linguistics. However, numeral system is reported to be an endangered area being identified in the use and study of language, and in no distant time, the traditional number system of the African indigenous counting systems may lose its contact with the new generation. This paper presents a Hindu-Arabic to H
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Zaslavsky, Claudia, and Bianka Crespo. "The Inka Quipu: Positional Notation on a Knotted Cord." Mathematics Teaching in the Middle School 6, no. 3 (2000): 164–84. http://dx.doi.org/10.5951/mtms.6.3.0164.

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WE INHERITED A MARVELOUS SYSTEM of numeration from India by way of the Arab world. The Indo-Arabic (also called Hindu-Arabic, or, simply, Arabic) system of number notation is considered one of the most important inventions in the history of humankind. The amazingly efficient system encompasses the following features: (1) distinct symbols for the numbers from 1 to 9, (2) a symbol for 0, (3) place value for successive powers of base ten, and (4) the ability to write any numeral with just ten symbols.
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Walmsley, Angela L. E. "Math Roots: Understanding Aztec and Mayan Numeration Systems." Mathematics Teaching in the Middle School 12, no. 1 (2006): 55–62. http://dx.doi.org/10.5951/mtms.12.1.0055.

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Numbers have been recorded in a variety of ways throughout time. For example, the Babylonians used marks pressed in clay; the Egyptians used papyrus and ink brushes to create tally marks; and the Maya introduced a symbol for zero (Billstein, Libeskind, and Lott 2001). All these ancient peoples used numerals, or written symbols, to express what they meant mathematically. They created their own numeration system, which is a collection of uniform symbols and properties to express numbers systematically. The Hindu- Arabic system is one such numeration method; however, understanding others can reve
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Lauber, Murray. "Casting Out Nines: An Explanation and Extensions." Mathematics Teacher 83, no. 8 (1990): 661–65. http://dx.doi.org/10.5951/mt.83.8.0661.

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The method of casting out 9s has been used for centuries, perhaps even as long as a millenium, for checking computations with integers involving the four mathematical operations. According to Eves (1980, 160–68) it was used by Hindu-Arabic scholars in the Middle Ages. It appears to have been imbibed by Western culture as a part of the decimal system of representation of numbers. With the invention of the electronic calculator its practical value has diminished. However, it is still an intriguing application of modular arithmetic that can be generalized to arithmetic in other bases. This articl
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Chrisomalis, Stephen. "A Cognitive Typology for Numerical Notation." Cambridge Archaeological Journal 14, no. 1 (2004): 37–52. http://dx.doi.org/10.1017/s0959774304000034.

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The numerical notation associated with texts and other representational media used in ancient societies is an important means by which past cognitive processes may be reconstructed. No satisfactory typology exists, however, to help understand the relationship between numerical symbols and cognitive processes. As a result, theories concerning the development of numeration remain mired in a unilinear and ethnocentric framework in which our own (Hindu-Arabic or Western) numerals are seen as the ultimate stage of evolution. It is suggested herein that there are two separate dimensions that need to
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Holloway, Ian D., Christian Battista, Stephan E. Vogel, and Daniel Ansari. "Semantic and Perceptual Processing of Number Symbols: Evidence from a Cross-linguistic fMRI Adaptation Study." Journal of Cognitive Neuroscience 25, no. 3 (2013): 388–400. http://dx.doi.org/10.1162/jocn_a_00323.

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The ability to process the numerical magnitude of sets of items has been characterized in many animal species. Neuroimaging data have associated this ability to represent nonsymbolic numerical magnitudes (e.g., arrays of dots) with activity in the bilateral parietal lobes. Yet the quantitative abilities of humans are not limited to processing the numerical magnitude of nonsymbolic sets. Humans have used this quantitative sense as the foundation for symbolic systems for the representation of numerical magnitude. Although numerical symbol use is widespread in human cultures, the brain regions in
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Dissertations / Theses on the topic "Hindu-Arabic numbers"

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Santos, Alberto Tadeu Acaiaba dos. "Das "trevas" à luz de Fibonacci: uma visão histórica." Pontifícia Universidade Católica de São Paulo, 2009. https://tede2.pucsp.br/handle/handle/13439.

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Made available in DSpace on 2016-04-28T14:16:42Z (GMT). No. of bitstreams: 1 Alberto Tadeu Acaiaba dos Santos.pdf: 1898301 bytes, checksum: dff408eb33e28cabba94fce850811da9 (MD5) Previous issue date: 2009-10-15<br>Coordenação de Aperfeiçoamento de Pessoal de Nível Superior<br>The contribution of Leonardo de Pisa for the commercial mathematics of XIII century, from the publication of the Líber Abacci and the spreading of the hindu arabian numbers in the Europe in substitution to the Roman numbers, thus facilitating the commercial transactions between the peoples after the opening of the por
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Andrade, Felipe Pelluso. "A criação dos números e sua evolução Matemática: de escrava a rainha das ciências." Universidade do Estado do Rio de Janeiro, 2015. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=8567.

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Este trabalho aborda, de maneira bem sucinta e objetiva, a história da evolução dos números desde o primeiro risco em um osso, até chegar na forma atual como os conhecemos. Ao longo de aproximadamente 30.000 anos de existência, os sistemas de numeração, suas bases e representações sofreram inúmeras modificações, adequando-se ao contexto histórico vigente. Podemos citar a mentalidade científica da época, a necessidade da conquista de territórios, religiões e crenças e necessidades básicas da vida cotidiana. Deste modo, mostramos uma corrente histórica que tenta explicar como e porque a ideia de
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"COLD AND WET, HOT AND DRY: THE KNOWING OF WOMAN’S KIND IN CHILDING, A FOURTEENTH CENTURY VERNACULAR OBSTETRICAL AND GYNECOLOGICAL TREATISE." Thesis, 2013. http://hdl.handle.net/10388/ETD-2013-09-1236.

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This thesis presents a single witness edition of The Knowing of Woman’s Kind in Childing, which is a 14th century vernacular obstetrical and gynaecological treatise found in British Library MS Additional 12195. Purported to be emulating medical texts of French and Latin origin, The Knowing of Woman's Kind in Childing is “a novel fusing of several different texts and theoretical traditions into a single work” (Green, “Obstetrical” 64). The Knowing of Woman’s Kind in Childing is an important and significant medieval medical text because it has a self-identified female audience and a female-orien
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Book chapters on the topic "Hindu-Arabic numbers"

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"Arithmetic: Hindu-Arabic Numbers and the Rise of Commerce." In The Great Rift. Harvard University Press, 2018. http://dx.doi.org/10.4159/9780674985186-009.

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Mazur, Joseph. "Refuting Origins." In Enlightening Symbols. Princeton University Press, 2016. http://dx.doi.org/10.23943/princeton/9780691173375.003.0008.

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This chapter discusses the debate among experts over the origins of the Hindu-Arabic numerals. One such expert was the French mathematician and historian Michel Chasles, who argued that by the fifth century, France already had a decimal place-value system for computations documented in Boethius's Arithmetic, which seemed to use a multiplication table with Arabic numbers. For much of the nineteenth century, the Indian origin of positional decimal notation had been challenged. The chapter also considers the claim made by George Rusby Kaye in 1907 that the numerals and the decimal system could not have been Indian in origin and that the history of Hindu-Arabic number representation was complicated by the existence of so many forgeries of the time. Whatever the truth, it is quite likely that sometime in the fifth century, Indian numbers had come to Alexandria via a trade route through Syria before moving westward.
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Mazur, Joseph. "The Indian Gift." In Enlightening Symbols. Princeton University Press, 2016. http://dx.doi.org/10.23943/princeton/9780691173375.003.0004.

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This chapter discusses the legacy of Indian mathematics. With very few archaeological clues, the origins of the Indian numbers must rely on a small wealth of writing that survives almost exclusively in the form of stone inscriptions. Some of those stone epigraphs used decimal place-value numerals, providing some evidence that ancient India was familiar with a kind of place-value numerical system. Some letter combinations of the Sanskrit words for numbers probably contributed suggestive shapes early in the morphographic history of our current script. The chapter first considers the Brahmi number system before turning to modern Hindu-Arabic numerals. It also examines how the Western system of numerals with zero came to be by focusing on finger counting, the dust boards, and the abacus.
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Mazur, Joseph. "Arrival in Europe." In Enlightening Symbols. Princeton University Press, 2016. http://dx.doi.org/10.23943/princeton/9780691173375.003.0005.

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This chapter examines how our current number system reached Europe. There is a dispute over whether or not the person most responsible for introducing Hindu-Arabic numerals to Europe was Leonardo Pisano Bigollo, also known as Leonardo Fibonacci. One of the great mathematicians of his time, Fibonacci gained fame for the problem of how rabbits multiply. As a young man, Fibonacci traveled with his father around the Mediterranean, meeting priests, scholars, and merchants in Egypt, Syria, Greece, and Provence. He learned the number systems used in trade. In 1202, he wrote Liber abbaci (Book of the Calculations), a book about how to calculate without an abacus. The chapter also considers the Ta'rikh al-hukama (Chronology of the Scholars), a mid-thirteenth-century book written by Ibn al-Qifti that tells the story of how the Indian numbers came to the Arabs.
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"The Hindu-Arabic number system." In Making Sense of Number. Cambridge University Press, 2021. http://dx.doi.org/10.1017/9781009006743.004.

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Mee, Nicholas. "Burning Down the House." In Celestial Tapestry. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198851950.003.0008.

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Algorithms are important in the modern world, but what is an algorithm? At school we learn algorithms called arithmetic, which is much easier in Hindu–Arabic rather than Roman numerals. Chaucer calls them augrim numbers. Augrim is a variant of algorithm and derives from the name of the ninth-century Persian mathematician al-Khwārizmī. In ‘The Miller’s Tale’ Chaucer tells of the scholar Nicholas with his augrim stones and astrolabe. This could be a caricature of Nicholas of Lynn. There was a long rivalry between those who performed calculations using arithmetic and those who used a counting table. The Exchequer gets its name from the similarity between a chess board and the counting table used to calculate taxes. For many centuries, debts were recorded on tally sticks. In 1834 the Houses of Parliament were destroyed when the vast collection of accumulated tally sticks were burnt, and the fire was immortalized by J. M. W. Turner.
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Mee, Nicholas. "Rampant Rabbits." In Celestial Tapestry. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198851950.003.0009.

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Fibonacci’s Liber Abaci (The Book of Calculation) is the most important book of mathematics from the Middle Ages. The book was dedicated to Michael Scott, a Scottish scholar who was the Imperial Astrologer to the Holy Roman Emperor Frederick II. He was later described as a necromancer and was consigned to the eighth circle of Hell by Dante. Chapter 8 outlines the lives of Fibonacci and Michael Scott. Liber Abaci was key to the spread of Hindu–Arabic numerals through the Mediterranean and into Europe, and the book also includes a number of puzzles, the most famous of which is about breeding rabbits. The solution involves the number sequence now known as the Fibonacci sequence, which has many interesting properties that are still being studied.
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