LEADER 02527oam 2200613I 450 001 9910788193103321 005 20230803200108.0 010 $a0-429-17192-7 010 $a1-4822-4668-6 024 7 $a10.1201/b17404 035 $a(CKB)2670000000593889 035 $a(EBL)1683505 035 $a(SSID)ssj0001443665 035 $a(PQKBManifestationID)12605742 035 $a(PQKBTitleCode)TC0001443665 035 $a(PQKBWorkID)11430260 035 $a(PQKB)10780071 035 $a(MiAaPQ)EBC1683505 035 $a(MiAaPQ)EBC4742722 035 $a(OCoLC)908079550 035 $a(EXLCZ)992670000000593889 100 $a20180706d2014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCounterexamples $efrom elementary calculus to the beginnings of analysis /$fby Andrei Bourchtein and Ludmila Bourchtein 205 $aFirst edition. 210 1$aBoca Raton, FL :$cChapman and Hall/CRC, an imprint of Taylor and Francis,$d2014. 215 $a1 online resource (358 p.) 225 1 $aTextbooks in Mathematic 300 $a"A Chapman & Hall Book." 311 $a1-4822-4667-8 311 $a1-322-63392-4 320 $aIncludes bibliographical references and index. 327 $aFront Cover; Contents; Preface; List of Figures; Introduction; I. Functions of one real variable; 1. Elementary properties of functions; 2. Limits; 3. Continuity; 4. Differentiation; 5. Integrals; 6. Sequences and series; II. Functions of two real variables; 7. Limits and continuity; 8. Differentiability; 9. Integrability; Bibliography; Symbol Description 330 3 $aThis book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to reveal common errors in many examples. 410 0$aTextbooks in mathematics (Boca Raton, Fla.) 606 $aFunctional analysis$vTextbooks 606 $aCalculus$vTextbooks 615 0$aFunctional analysis 615 0$aCalculus 676 $a515 686 $aMAT000000$aMAT028000$aMAT037000$2bisacsh 700 $aBourchtein$b Andrei$01051999 702 $aBourchtein$b Ludmila 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788193103321 996 $aCounterexamples$93687274 997 $aUNINA