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Record Nr. |
UNINA9910819769603321 |
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Autore |
Barbeau Edward <1938-> |
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Titolo |
Mathematical fallacies, flaws, and flimflam / / Edward J. Barbeau [[electronic resource]] |
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Pubbl/distr/stampa |
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Washington : , : Mathematical Association of America, , 2000 |
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ISBN |
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Descrizione fisica |
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1 online resource (xvi, 167 pages) : digital, PDF file(s) |
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Collana |
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Spectrum, , 2638-9045 ; ; v. 25 |
Spectrum series |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 02 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Numbers -- Algebra and trignometry -- Geometry -- Finite mathematics -- Probability -- Calculus: limits and derivatives -- Calculus: integrations and differential equations -- Calculus: multivariate and applications -- Linear and modern algebra -- Advanced undergraduate mathematics -- Parting shots. |
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Sommario/riassunto |
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Through hard experience, mathematicians have learned to subject even the most evident assertions to rigorous scrutiny, as intuition and facile reasoning can often lead them astray. However, the impossibility and impracticality of completely watertight arguments make it possible for errors to slip by the most watchful eye. They are often subtle and difficult of detection. When found, they can teach us a lot and can present a real challenge to straighten out. Presenting students with faulty arguments to troubleshoot can be an effective way of helping them critically understand material, and it is for this reason that I began to compile fallacies and publish them first in the Notes of the Canadian Mathematical Society and later in the College Mathematics Journal in the Fallacies, Flaws and Flimflam section. I hoped to challenge and amuse readers, as well as to provide them with material suitable for teaching and student assignments. This book collects the items from the first eleven years of publishing in the CMJ. One source of such errors is the work of students. Occasionally, a text book will weigh in with a specious result or solution. Nonprofessional sources, such as newspapers, are responsible for a goodly number of mishaps, |
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particularly in arithmetic (especially percentages) and probability; their use in classrooms may help students become critical readers and listeners of the media. Quite a few items come from professional mathematicians. The reader will find in this book some items that are not erroneous but seem to be. These need a fuller analysis to clarify the situation. All the items are presented for your entertainment and use. The mathematical topics covered include algebra, trigonometry, geometry, probability, calculus, linear algebra, and modern algebra. |
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