LEADER 02752nam 22005292 450 001 9910791744103321 005 20230621212734.0 010 $a0-88385-924-6 035 $a(CKB)2560000000081418 035 $a(SSID)ssj0000744696 035 $a(PQKBManifestationID)11429188 035 $a(PQKBTitleCode)TC0000744696 035 $a(PQKBWorkID)10851504 035 $a(PQKB)10161873 035 $a(UkCbUP)CR9780883859247 035 $a(MiAaPQ)EBC3330398 035 $a(Au-PeEL)EBL3330398 035 $a(CaPaEBR)ebr10729369 035 $a(OCoLC)929120302 035 $a(RPAM)2639396 035 $a(EXLCZ)992560000000081418 100 $a20111006d1962|||| uy 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aUses of Infinity /$fLeo Zippin 210 1$aWashington :$cMathematical Association of America,$d1962. 215 $a1 online resource (vii, 151 pages) $cdigital, PDF file(s) 225 0 $aAnneli Lax New Mathematical Library ;$v7 311 0 $a0-88385-607-7 320 $aIncludes bibliographical references. 327 $aFront Cover Uses of Infinity Copyright Page Contents Preface Chapter 1. Popular and Mathematical Infinities Chapter 2. From Natural Numbers to a??s?2Chapter 3. From a??s?2 to the Transfinite Chapter 4. Zig-Zags: To the Limit if the Limit Exists Chapter 5. The Self Perpetuating Golden Rectangle Chapter 6. Constructions and Proofs Solutions to Problems Bibliography 330 $aThe word 'infinity' usually elicits feelings of awe, wonder, and admiration; the concept infinity has fascinated philosophers and theologians. The author shows how professional mathematicians tame this unwieldy concept, come to terms with it, and use its various aspects as their most powerful tools of the trade. The early chapters are descriptive and intuitive, full of examples that not only illustrate some infinite processes, but that are worth studying for their own sake. Many questions are raised in the beginning, partially answered in various contexts throughout the book, and finally treated with the precision necessary to give the reader an excellent grasp of the fundamental notions used in the calculus as well as in virtually all other mathematical disciplines. The text is peppered with challenging problems whose solutions appear at the end of the book. 606 $aProcesses, Infinite 606 $aInfinite 615 0$aProcesses, Infinite. 615 0$aInfinite. 676 $a512.83 700 $aZippin$b Leo$049388 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910791744103321 996 $aUses of Infinity$93694320 997 $aUNINA