The Essence of Mathematics Through Elementary Problems
"It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, pa...
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| Glavni autori: | , |
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| Format: | Online |
| Jezik: | engleski |
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Open Book Publishers
2021
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| Teme: | |
| Online pristup: | 33631 |
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| _version_ | 1869519841264664576 |
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| author | Gardiner, Tony (Author) Borovik, Alexandre (Author) |
| author_browse | Borovik, Alexandre (Author) Gardiner, Tony (Author) |
| author_facet | Gardiner, Tony (Author) Borovik, Alexandre (Author) |
| author_sort | Gardiner, Tony (Author) |
| collection | Directory of Open Access Books |
| description | "It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside. The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works." |
| format | Online |
| id | doab-20.500.12854ir-46853 |
| 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-468532023-12-20T18:40:34Z The Essence of Mathematics Through Elementary Problems Gardiner, Tony (Author) Borovik, Alexandre (Author) QA1-939 Geometry mathematics beyond the classroom make sense of the world Word Problems Algebra Infinity Mathematics Elementary Problems Mental Skills Arithmetic bic Book Industry Communication::P Mathematics & science "It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside. The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works." 2021-02-11T12:57:27Z 2021-02-11T12:57:27Z 2019-06-25 18:14:54 2019 book 33631 2397-1126/2397-1134 0 9781783747016 9781783746996 https://directory.doabooks.org/handle/20.500.12854/46853 eng OBP Series in Mathematics image/jpeg Attribution 4.0 International https://www.openbookpublishers.com/product/979 https://www.openbookpublishers.com/product/824 Open Book Publishers https://doi.org/10.11647/OBP.0168 https://doi.org/10.11647/OBP.0168 b014b543-78bd-4c3b-bc71-b68e2ac855b9 9781783747016 9781783746996 open access |
| spellingShingle | QA1-939 Geometry mathematics beyond the classroom make sense of the world Word Problems Algebra Infinity Mathematics Elementary Problems Mental Skills Arithmetic bic Book Industry Communication::P Mathematics & science Gardiner, Tony (Author) Borovik, Alexandre (Author) The Essence of Mathematics Through Elementary Problems |
| title | The Essence of Mathematics Through Elementary Problems |
| title_full | The Essence of Mathematics Through Elementary Problems |
| title_fullStr | The Essence of Mathematics Through Elementary Problems |
| title_full_unstemmed | The Essence of Mathematics Through Elementary Problems |
| title_short | The Essence of Mathematics Through Elementary Problems |
| title_sort | essence of mathematics through elementary problems |
| topic | QA1-939 Geometry mathematics beyond the classroom make sense of the world Word Problems Algebra Infinity Mathematics Elementary Problems Mental Skills Arithmetic bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Geometry mathematics beyond the classroom make sense of the world Word Problems Algebra Infinity Mathematics Elementary Problems Mental Skills Arithmetic bic Book Industry Communication::P Mathematics & science |
| url | 33631 |
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