How round is your circle?: Where engineering and mathematics meet
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[2008]
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FAB01 FAW01 FCO01 FHA01 FKE01 FLA01 UPA01 Volltext Volltext |
| Beschreibung: | Main description: How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things |
| Beschreibung: | 1 Online-Ressource (352 S.) |
| ISBN: | 9781400837953 |
| DOI: | 10.1515/9781400837953 |
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Datensatz im Suchindex
| _version_ | 1804153276066693120 |
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| any_adam_object | |
| author | Bryant, John 1934- Sangwin, Christopher J. 1973- |
| author_GND | (DE-588)1019609540 (DE-588)135825954 |
| author_facet | Bryant, John 1934- Sangwin, Christopher J. 1973- |
| author_role | aut aut |
| author_sort | Bryant, John 1934- |
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| collection | ZDB-23-DGG ebook |
| ctrlnum | (ZDB-23-DGG)9781400837953 (OCoLC)909959718 (DE-599)BVBBV042522848 |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400837953 |
| format | Electronic eBook |
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| id | DE-604.BV042522848 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:24:02Z |
| institution | BVB |
| isbn | 9781400837953 |
| language | English |
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| spelling | Bryant, John 1934- Verfasser (DE-588)1019609540 aut How round is your circle? Where engineering and mathematics meet John Bryant and Chris Sangwin Princeton, N.J. Princeton University Press [2008] 1 Online-Ressource (352 S.) txt rdacontent c rdamedia cr rdacarrier Main description: How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things Elementargeometrie (DE-588)4137488-5 gnd rswk-swf Planimetrie (DE-588)4046223-7 gnd rswk-swf Ingenieurwissenschaften (DE-588)4137304-2 gnd rswk-swf Elementargeometrie (DE-588)4137488-5 s Ingenieurwissenschaften (DE-588)4137304-2 s Planimetrie (DE-588)4046223-7 s DE-604 Sangwin, Christopher J. 1973- Verfasser (DE-588)135825954 aut Erscheint auch als Druck-Ausgabe 9780691149929 https://doi.org/10.1515/9781400837953 Verlag URL des Erstveröffentlichers Volltext http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400837953&searchTitles=true Verlag Volltext |
| spellingShingle | Bryant, John 1934- Sangwin, Christopher J. 1973- How round is your circle? Where engineering and mathematics meet Elementargeometrie (DE-588)4137488-5 gnd Planimetrie (DE-588)4046223-7 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| subject_GND | (DE-588)4137488-5 (DE-588)4046223-7 (DE-588)4137304-2 |
| title | How round is your circle? Where engineering and mathematics meet |
| title_auth | How round is your circle? Where engineering and mathematics meet |
| title_exact_search | How round is your circle? Where engineering and mathematics meet |
| title_full | How round is your circle? Where engineering and mathematics meet John Bryant and Chris Sangwin |
| title_fullStr | How round is your circle? Where engineering and mathematics meet John Bryant and Chris Sangwin |
| title_full_unstemmed | How round is your circle? Where engineering and mathematics meet John Bryant and Chris Sangwin |
| title_short | How round is your circle? |
| title_sort | how round is your circle where engineering and mathematics meet |
| title_sub | Where engineering and mathematics meet |
| topic | Elementargeometrie (DE-588)4137488-5 gnd Planimetrie (DE-588)4046223-7 gnd Ingenieurwissenschaften (DE-588)4137304-2 gnd |
| topic_facet | Elementargeometrie Planimetrie Ingenieurwissenschaften |
| url | https://doi.org/10.1515/9781400837953 http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400837953&searchTitles=true |
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