Street-Fighting Mathematics
An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a cor...
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| Format: | Online |
| Jezik: | engleski |
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The MIT Press
2022
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| Teme: | |
| Online pristup: | ONIX_20220125_9780262265881_25 |
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| _version_ | 1869529778435915776 |
|---|---|
| author | Mahajan, Sanjoy |
| author_browse | Mahajan, Sanjoy |
| author_facet | Mahajan, Sanjoy |
| author_sort | Mahajan, Sanjoy |
| collection | Directory of Open Access Books |
| description | An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license. |
| format | Online |
| id | doab-20.500.12854ir-77878 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | The MIT Press |
| publisherStr | The MIT Press |
| record_format | ojs |
| spelling | doab-20.500.12854ir-778782024-04-04T19:18:45Z Street-Fighting Mathematics Mahajan, Sanjoy Education Mathematics thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDZ Popular science::PDZM Popular and recreational mathematics An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation. In problem solving, as in street fighting, rules are for fools: do whatever works—don't just stand there! Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation. In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge—from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool—the general principle—from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems. Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license. 2022-01-25T15:07:58Z 2022-01-25T15:07:58Z 2010 book ONIX_20220125_9780262265881_25 9780262265881 9780262514293 https://directory.doabooks.org/handle/20.500.12854/77878 eng image/jpeg n/a http://mitpress.mit.edu/9780262514293 The MIT Press The MIT Press ae0cf962-f685-4933-93d1-916defa5123d 9780262265881 9780262514293 The MIT Press 152 Cambridge open access |
| spellingShingle | Education Mathematics thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDZ Popular science::PDZM Popular and recreational mathematics Mahajan, Sanjoy Street-Fighting Mathematics |
| title | Street-Fighting Mathematics |
| title_full | Street-Fighting Mathematics |
| title_fullStr | Street-Fighting Mathematics |
| title_full_unstemmed | Street-Fighting Mathematics |
| title_short | Street-Fighting Mathematics |
| title_sort | street fighting mathematics |
| topic | Education Mathematics thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDZ Popular science::PDZM Popular and recreational mathematics |
| topic_facet | Education Mathematics thema EDItEUR::P Mathematics and Science::PD Science: general issues::PDZ Popular science::PDZM Popular and recreational mathematics |
| url | ONIX_20220125_9780262265881_25 |
| work_keys_str_mv | AT mahajansanjoy streetfightingmathematics |