Making up Numbers
"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 develo...
-д хадгалсан:
| Үндсэн зохиолч: | |
|---|---|
| Формат: | Online |
| Хэл сонгох: | англи |
| Хэвлэсэн: |
Open Book Publishers
2021
|
| Нөхцлүүд: | |
| Онлайн хандалт: | OCN: 1229814540 |
| Шошгууд: |
Шошго байхгүй, Энэхүү баримтыг шошголох эхний хүн болох!
|
| _version_ | 1869527521854226432 |
|---|---|
| author | Kopp, Ekkehard |
| author_browse | Kopp, Ekkehard |
| author_facet | Kopp, Ekkehard |
| author_sort | Kopp, Ekkehard |
| collection | Directory of Open Access Books |
| description | "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." |
| format | Online |
| id | doab-20.500.12854ir-38852 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | Open Book Publishers |
| publisherStr | Open Book Publishers |
| record_format | ojs |
| spelling | doab-20.500.12854ir-388522025-06-11T08:07:51Z Making up Numbers Kopp, Ekkehard mathematical ideas development of numbers development number systems negative numbers irrationals numbers complex numbers thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis "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." 2021-02-10T14:59:20Z 2021-02-10T14:59:20Z 2020-10-28T10:07:13Z 2020 book OCN: 1229814540 https://library.oapen.org/handle/20.500.12657/42727 9781800640955 9781800640962 9781800640962 https://directory.doabooks.org/handle/20.500.12854/38852 eng open access image/jpeg image/jpeg image/jpeg image/jpeg Attribution 4.0 International Attribution 4.0 International Attribution 4.0 International Attribution 4.0 International https://library.oapen.org/bitstream/20.500.12657/42727/1/9781800640979.pdf https://library.oapen.org/bitstream/20.500.12657/42727/1/9781800640979.pdf https://library.oapen.org/bitstream/20.500.12657/42727/1/9781800640979.pdf https://library.oapen.org/bitstream/20.500.12657/42727/1/9781800640979.pdf Open Book Publishers 10.11647/OBP.0236 10.11647/OBP.0236 b014b543-78bd-4c3b-bc71-b68e2ac855b9 9781800640955 9781800640962 9781800640962 ScholarLed 280 open access |
| spellingShingle | mathematical ideas development of numbers development number systems negative numbers irrationals numbers complex numbers thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis Kopp, Ekkehard Making up Numbers |
| title | Making up Numbers |
| title_full | Making up Numbers |
| title_fullStr | Making up Numbers |
| title_full_unstemmed | Making up Numbers |
| title_short | Making up Numbers |
| title_sort | making up numbers |
| topic | mathematical ideas development of numbers development number systems negative numbers irrationals numbers complex numbers thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis |
| topic_facet | mathematical ideas development of numbers development number systems negative numbers irrationals numbers complex numbers thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::Y Children’s, Teenage and Educational::YP Educational material::YPM Educational: Mathematics, science and technology, general::YPMF Educational: Mathematics and numeracy thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis |
| url | OCN: 1229814540 |
| work_keys_str_mv | AT koppekkehard makingupnumbers |