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010   $a3-319-27807-X
024 7 $a10.1007/978-3-319-27807-0
035   $a(CKB)3710000000627477
035   $a(SSID)ssj0001656926
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035   $a(PQKBTitleCode)TC0001656926
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035   $a(DE-He213)978-3-319-27807-0
035   $a(MiAaPQ)EBC6311415
035   $a(MiAaPQ)EBC5586418
035   $a(Au-PeEL)EBL5586418
035   $a(OCoLC)946011318
035   $a(PPN)192774239
035   $a(EXLCZ)993710000000627477
100   $a20160330d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aAdvanced Calculus of a Single Variable /$fby Tunc Geveci
205   $a1st ed. 2016.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016.
215   $a1 online resource (XII, 382 p. 88 illus., 77 illus. in color.) 
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-27806-1 
327   $aPreface -- Real Numbers, Sequences and Limits -- Limits and Continuity of Functions -- The Derivative -- The Riemann Integral -- Infinite Series -- Sequences and Series of Functions. Index. .
330   $aThis advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years. The aim of this classroom-tested book is to deliver a rigorous discussion of the concepts and theorems that are dealt with informally in the first two semesters of a beginning calculus course. As such, students are expected to gain a deeper understanding of the fundamental concepts of calculus, such as limits (with an emphasis on ?-? definitions), continuity (including an appreciation of the difference between mere pointwise and uniform continuity), the derivative (with rigorous proofs of various versions of L?Hôpital?s rule) and the Riemann integral (discussing improper integrals in-depth, including the comparison and Dirichlet tests). Success in this course is expected to prepare students for more advanced courses in real and complex analysis and this book will help to accomplish this. The first semester of advanced calculus can be followed by a rigorous course in multivariable calculus and an introductory real analysis course that treats the Lebesgue integral and metric spaces, with special emphasis on Banach and Hilbert spaces.
606   $aIntegral transforms
606   $aCalculus, Operational
606   $aFunctional analysis
606   $aIntegral Transforms, Operational Calculus$3https://scigraph.springernature.com/ontologies/product-market-codes/M12112
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
615  0$aIntegral transforms.
615  0$aCalculus, Operational.
615  0$aFunctional analysis.
615 14$aIntegral Transforms, Operational Calculus.
615 24$aFunctional Analysis.
676   $a515
700   $aGeveci$b Tunc$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755794
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254067603321
996   $aAdvanced calculus of a single variable$91523063
997   $aUNINA