LEADER 03740nam 22006975 450 001 9910437870803321 005 20200702223113.0 010 $a1-4614-6271-1 024 7 $a10.1007/978-1-4614-6271-2 035 $a(CKB)2670000000355590 035 $a(EBL)1106192 035 $a(SSID)ssj0000880455 035 $a(PQKBManifestationID)11484976 035 $a(PQKBTitleCode)TC0000880455 035 $a(PQKBWorkID)10896942 035 $a(PQKB)10809982 035 $a(DE-He213)978-1-4614-6271-2 035 $a(MiAaPQ)EBC6315707 035 $a(MiAaPQ)EBC1106192 035 $a(Au-PeEL)EBL1106192 035 $a(CaPaEBR)ebr10970518 035 $a(OCoLC)841905489 035 $a(PPN)169136019 035 $a(EXLCZ)992670000000355590 100 $a20130417d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aElementary Analysis $eThe Theory of Calculus /$fby Kenneth A. Ross 205 $a2nd ed. 2013. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2013. 215 $a1 online resource (416 p.) 225 1 $aUndergraduate Texts in Mathematics,$x0172-6056 300 $aDescription based upon print version of record. 311 $a1-4939-0128-1 311 $a1-4614-6270-3 320 $aIncludes bibliographical references (pages [397]-401) and indexes. 327 $aPreface -- 1 Introduction -- 2 Sequences -- 3 Continuity -- 4 Sequences and Series of Functions -- 5 Differentiation -- 6 Integration -- 7 Capstone -- Appendix on Set Notation -- Selected Hints and Answers -- References -- Index. 330 $aFor over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging. The second edition preserves the book?s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions. Review from the first edition: "This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis.... The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and ... has succeeded admirably." ?MATHEMATICAL REVIEWS. 410 0$aUndergraduate Texts in Mathematics,$x0172-6056 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aFunctions of real variables 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 0$aFunctions of real variables. 615 14$aAnalysis. 615 24$aReal Functions. 676 $a515 700 $aRoss$b Kenneth A$4aut$4http://id.loc.gov/vocabulary/relators/aut$041192 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910437870803321 996 $aElementary analysis$983073 997 $aUNINA