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dc.contributor.authorKopp, Ekkehard
dc.date.accessioned2021-02-10T14:59:20Z
dc.date.available2021-02-10T14:59:20Z
dc.date.issued2020
dc.identifierhttps://library.oapen.org/handle/20.500.12657/42727
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/38852
dc.description.abstract"Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject."
dc.languageEnglish
dc.rightsopen access
dc.subject.classificationbic Book Industry Communication::P Mathematics & science::PB Mathematics
dc.subject.classificationbic Book Industry Communication::Y Children's, Teenage & educational::YQ Educational material::YQM Educational: Mathematics & numeracy
dc.subject.classificationbic Book Industry Communication::P Mathematics & science::PB Mathematics::PBK Calculus & mathematical analysis
dc.subject.othermathematical ideas
dc.subject.otherdevelopment of numbers
dc.subject.otherdevelopment number systems
dc.subject.othernegative numbers
dc.subject.otherirrationals numbers
dc.subject.othercomplex numbers
dc.titleMaking up Numbers
dc.title.alternativeA History of Invention in Mathematics
dc.typebook
oapen.identifier.doi10.11647/OBP.0236
oapen.relation.isPublishedByb014b543-78bd-4c3b-bc71-b68e2ac855b9
virtual.oapen_relation_isPublishedBy.publisher_nameOpen Book Publishers
virtual.oapen_relation_isPublishedBy.publisher_websitehttps://www.openbookpublishers.com
oapen.relation.isbn9781800640955
oapen.relation.isbn9781800640962
oapen.collectionScholarLed
oapen.pages280
dc.dateSubmitted2020-10-28T10:07:13Z


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Except where otherwise noted, this item's license is described as open access