How round is your circle? : where engineering and mathematics meet

How round is your circle? : where engineering and mathematics meet

Enregistré dans:
Détails bibliographiques
Auteur principal: Sangwin, Christopher J. (1973-....). (Auteur)
Autres auteurs: Bryant, John (1934-....). (Auteur)
Support: E-Book
Langue: Anglais
Publié: Princeton ; N.J : Princeton University Press, 2011.
Sujets:
MATHEMATICS > Measurement.
Applied Mathematics.
Circle.
Engineering mathematics.
Geometrical models.
Geometry, Algebraic.
Geometry, Plane.
Mathematics.
Mathematik.
TECHNOLOGY &amp > ENGINEERING > Mechanical.
Géométrie plane.
Modèles géométriques.
Géométrie algébrique.
Autres localisations: Voir dans le Sudoc
Résumé: 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
Accès en ligne: Accès à l'E-book
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245 1 0 |a How round is your circle? :  |b where engineering and mathematics meet   |c Chris Sangwin, John Bryant. 
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264 1 |a Princeton ;  |a N.J :  |b Princeton University Press,  |c 2011. 
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520 |a 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 
538 |a Nécessite un navigateur et un lecteur de fichier PDF. 
650 0 |a MATHEMATICS  |x Measurement.  |2 lc 
650 0 |a Applied Mathematics.  |2 lc 
650 0 |a Circle.  |2 lc 
650 0 |a Engineering mathematics.  |2 lc 
650 0 |a Geometrical models.  |2 lc 
650 0 |a Geometry, Algebraic.  |2 lc 
650 0 |a Geometry, Plane.  |2 lc 
650 0 |a Mathematics.  |2 lc 
650 0 |a Mathematik.  |2 lc 
650 7 |a TECHNOLOGY &amp  |x ENGINEERING  |x Mechanical.  |2 bisacsh 
650 0 |a Engineering mathematics.  |2 lc 
650 0 |a Geometrical models.  |2 lc 
650 0 |a Geometry, Algebraic.  |2 lc 
650 0 |a Geometry, Plane.  |2 lc 
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