02729oam 2200697I 450 991114738410332120251116161213.097810402137281040213723978042917192504291719279781482246681148224668610.1201/b17404 (CKB)2670000000593889(EBL)1683505(SSID)ssj0001443665(PQKBManifestationID)12605742(PQKBTitleCode)TC0001443665(PQKBWorkID)11430260(PQKB)10780071(MiAaPQ)EBC1683505(MiAaPQ)EBC4742722(OCoLC)908079550(FlBoTFG)9780429171925(EXLCZ)99267000000059388920180706d2014 uy 0engur|n|---|||||txtccrCounterexamples from elementary calculus to the beginnings of analysis /by Andrei Bourchtein and Ludmila BourchteinFirst edition.Boca Raton, FL :Chapman and Hall/CRC, an imprint of Taylor and Francis,2014.1 online resource (358 p.)Textbooks in Mathematic"A Chapman & Hall Book."9781482246674 1482246678 9781322633923 1322633924 Includes bibliographical references and index.Front 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 DescriptionThis 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.Textbooks in mathematics (Boca Raton, Fla.)Functional analysisTextbooksCalculusTextbooksFunctional analysisCalculus515MAT000000MAT028000MAT037000bisacshBourchtein Andrei1051999Bourchtein LudmilaMiAaPQMiAaPQMiAaPQBOOK9911147384103321Counterexamples4862009UNINA