LEADER 02996nam 22006375 450 001 9910299774403321 005 20200705003445.0 010 $a3-319-13641-0 024 7 $a10.1007/978-3-319-13641-7 035 $a(CKB)3710000000379575 035 $a(SSID)ssj0001465514 035 $a(PQKBManifestationID)11919366 035 $a(PQKBTitleCode)TC0001465514 035 $a(PQKBWorkID)11472153 035 $a(PQKB)10977923 035 $a(DE-He213)978-3-319-13641-7 035 $a(MiAaPQ)EBC5610463 035 $a(PPN)184888530 035 $a(EXLCZ)993710000000379575 100 $a20150321d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aFrom Calculus to Analysis /$fby Steen Pedersen 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XIX, 342 p. 48 illus., 14 illus. in color.) 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-13640-2 327 $aPart I -- Limits -- Introduction to Continuity -- Sets of Real Numbers -- Counting -- Continuity -- Derivatives and their Applications -- The Riemann Integral -- The Logarithm and the Exponential Function -- Part II -- Convergence of Sequences -- Series -- Trigonometric Functions and Applications -- Fourier Series -- Topology -- Appendices. 330 $aThis textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers.  In addition to the standard results of advanced calculus, the book  contains several interesting applications of these results. The text is intended to form a bridge between calculus and analysis. It is based on the authors lecture notes used and revised nearly every year over the last decade. The book contains numerous illustrations and cross references throughout, as well as exercises with solutions at the end of each section. 606 $aIntegral equations 606 $aAlgebra 606 $aMathematical analysis 606 $aAnalysis (Mathematics) 606 $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090 606 $aAlgebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11000 606 $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007 615 0$aIntegral equations. 615 0$aAlgebra. 615 0$aMathematical analysis. 615 0$aAnalysis (Mathematics). 615 14$aIntegral Equations. 615 24$aAlgebra. 615 24$aAnalysis. 676 $a512.9 700 $aPedersen$b Steen$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721072 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299774403321 996 $aFrom calculus to analysis$91522540 997 $aUNINA LEADER 00858nam0 22002411i 450 001 UON00049881 005 20231205102221.288 100 $a20020107d1978 |0itac50 ba 101 $arus 102 $aSU 105 $a|||| 1|||| 200 1 $aDvadsat' tri Nasreddina 210 $aMoskva$cIzd. "Nauka"$d1978 215 $a582 p.$d; 22 cm 620 $aRU$dMoskva$3UONL003152 686 $aINT XIV$cINTERAREALE - ANTROP., ETNOL., FOLKLORE, SPORT$2A 712 $aAkademija Nauk SSSR$3UONV247334$4650 801 $aIT$bSOL$c20241213$gRICA 899 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$2UONSI 912 $aUON00049881 950 $aSIBA - SISTEMA BIBLIOTECARIO DI ATENEO$dSI INT XIV 008 $eSI SA 37611 5 008 996 $aDvadsat' tri Nasreddina$91147314 997 $aUNIOR