LEADER 02606nam 2200601 a 450 001 9910463457003321 005 20200520144314.0 010 $a1-61444-107-3 035 $a(CKB)2670000000386401 035 $a(EBL)3330327 035 $a(SSID)ssj0000746395 035 $a(PQKBManifestationID)11468382 035 $a(PQKBTitleCode)TC0000746395 035 $a(PQKBWorkID)10861680 035 $a(PQKB)11582203 035 $a(UkCbUP)CR9781614441076 035 $a(MiAaPQ)EBC3330327 035 $a(Au-PeEL)EBL3330327 035 $a(CaPaEBR)ebr10722438 035 $a(OCoLC)817966939 035 $a(EXLCZ)992670000000386401 100 $a20120412d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aWhich numbers are real?$b[electronic resource] /$fMichael Henle 210 $aWashington, D.C. $cMathematical Association of America$dc2012 215 $a1 online resource (0 p.) 225 1 $aClassroom resource materials 300 $aDescription based upon print version of record. 311 $a0-88385-777-4 320 $aIncludes bibliographical references (p. 205-208) and index. 327 $apt. 1. The reals -- pt. 2. Multi-dimensional numbers -- pt. 3. Alternative lines. 330 $aWhich Numbers are Real? surveys alternative real number systems: systems that generalize and extend the real numbers while staying close to the properties that make the reals central to mathematics. These systems include, for example, multi-dimensional numbers (the complex numbers, the quaternions, and others), systems that include infinitely small and infinitely large numbers (the hyperreal numbers and the surreal numbers), and numbers that represent positions in games (the surreal numbers). All the systems presented have applications and several are the subject of current mathematical research. Which Numbers are Real? will be of interest to anyone who likes numbers, but particularly upper-level undergraduates, graduate students, and mathematics teachers at all levels. 410 0$aClassroom resource materials (Unnumbered) 606 $aNumbers, Real 606 $aNumbers, Complex 606 $aNumber theory 608 $aElectronic books. 615 0$aNumbers, Real. 615 0$aNumbers, Complex. 615 0$aNumber theory. 676 $a512.786 700 $aHenle$b Michael$0725877 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910463457003321 996 $aWhich numbers are real$92459330 997 $aUNINA