LEADER 03874nam 22005652 450 001 9910790892303321 005 20151002020706.0 010 $a1-61444-518-4 035 $a(CKB)2550000001143323 035 $a(EBL)3330449 035 $a(SSID)ssj0000577696 035 $a(PQKBManifestationID)12185542 035 $a(PQKBTitleCode)TC0000577696 035 $a(PQKBWorkID)10577370 035 $a(PQKB)10872261 035 $a(UkCbUP)CR9781614445180 035 $a(MiAaPQ)EBC3330449 035 $a(Au-PeEL)EBL3330449 035 $a(CaPaEBR)ebr10781607 035 $a(OCoLC)929120404 035 $a(RPAM)11807758 035 $a(EXLCZ)992550000001143323 100 $a20131011d2000|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical fallacies, flaws, and flimflam /$fEdward J. Barbeau$b[electronic resource] 210 1$aWashington :$cMathematical Association of America,$d2000. 215 $a1 online resource (xvi, 167 pages) $cdigital, PDF file(s) 225 1 $aSpectrum, $x2638-9045 ; $vv. 25 225 0$aSpectrum series 300 $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015). 311 $a0-88385-529-1 320 $aIncludes bibliographical references and index. 327 $aNumbers -- 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. 330 $aThrough hard experience, mathematicians have learned to subject even the most evident assertions to rigorous scrutiny, as intuition and facile reasoning can often lead them astray. However, the impossibility and impracticality of completely watertight arguments make it possible for errors to slip by the most watchful eye. They are often subtle and difficult of detection. When found, they can teach us a lot and can present a real challenge to straighten out. Presenting students with faulty arguments to troubleshoot can be an effective way of helping them critically understand material, and it is for this reason that I began to compile fallacies and publish them first in the Notes of the Canadian Mathematical Society and later in the College Mathematics Journal in the Fallacies, Flaws and Flimflam section. I hoped to challenge and amuse readers, as well as to provide them with material suitable for teaching and student assignments. This book collects the items from the first eleven years of publishing in the CMJ. One source of such errors is the work of students. Occasionally, a text book will weigh in with a specious result or solution. Nonprofessional sources, such as newspapers, are responsible for a goodly number of mishaps, particularly in arithmetic (especially percentages) and probability; their use in classrooms may help students become critical readers and listeners of the media. Quite a few items come from professional mathematicians. The reader will find in this book some items that are not erroneous but seem to be. These need a fuller analysis to clarify the situation. All the items are presented for your entertainment and use. The mathematical topics covered include algebra, trigonometry, geometry, probability, calculus, linear algebra, and modern algebra. 410 0$aSpectrum 517 3 $aMathematical Fallacies, Flaws, & Flimflam 606 $aMathematics$vMiscellanea 615 0$aMathematics 676 $a510 700 $aBarbeau$b Edward$f1938-$067749 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910790892303321 996 $aMathematical fallacies, flaws, and flimflam$93759394 997 $aUNINA