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035   $a(UkCbUP)CR9781614441076
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101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aWhich numbers are real? /$fMichael Henle$b[electronic resource]
210  1$aWashington :$cMathematical Association of America,$d2012.
215   $a1 online resource (x, 219 pages) $cdigital, PDF file(s)
225 1 $aClassroom resource materials
300   $aTitle from publisher's bibliographic system (viewed on 02 Oct 2015).
311   $a0-88385-777-4 
320   $aIncludes bibliographical references (p. 205-208) and index.
327   $a[Pt.] I. The reals. Axioms for the reals -- Construction of the reals -- [pt.] II. Multi-dimensional numbers. The complex numbers -- The quaternions -- [pt.] III. Alternative lines. The constructive reals -- The hyperreals -- The surreals.
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   $aNumber theory
615  0$aNumbers, Real.
615  0$aNumbers, Complex.
615  0$aNumber theory.
676   $a512.786
700   $aHenle$b Michael$0725877
801  0$bUkCbUP
801  1$bUkCbUP
906   $aBOOK
912   $a9910786846203321
996   $aWhich numbers are real?$93759339
997   $aUNINA