LEADER 03150nam 22006375 450 001 9910962859003321 005 20250730120411.0 010 $a3-642-58604-X 024 7 $a10.1007/978-3-642-58604-0 035 $a(CKB)3400000000104519 035 $a(SSID)ssj0001297188 035 $a(PQKBManifestationID)11735221 035 $a(PQKBTitleCode)TC0001297188 035 $a(PQKBWorkID)11374802 035 $a(PQKB)11360113 035 $a(DE-He213)978-3-642-58604-0 035 $a(MiAaPQ)EBC3069321 035 $a(PPN)237917289 035 $a(EXLCZ)993400000000104519 100 $a20121227d1999 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aIntroduction to Calculus and Analysis I /$fby Richard Courant, Fritz John 205 $a1st ed. 1999. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1999. 215 $a1 online resource (XXIII, 661 p. 184 illus.) 225 1 $aClassics in Mathematics,$x2512-5257 300 $aBased on the first author's Vorlesungen uber Differential- und Integralrechnung. 300 $aReprint. Originally published: New York : Interscience Publishers, 1965. 311 08$a3-540-65058-X 327 $a1 Introduction -- 2 The Fundamental Ideas of the Integral and Differential Calculus -- 3 The Techniques of Calculus -- 4 Applications in Physics and Geometry -- 5 Taylor?s Expansion -- 6 Numerical Methods -- 7 Infinite Sums and Products -- 8 Trigonometric Series -- 9 Differential Equations for the Simplest Types of Vibration -- List of Biographical Dates. 330 $aFrom the reviews: "Volume 1 covers a basic course in real analysis of one variable and Fourier series. It is well-illustrated, well-motivated and very well-provided with a multitude of unusually useful and accessible exercises. (...) There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry. The exercises in Courant and John are put together purposefully, and either look numerically interesting, or are intuitively significant, or lead to applications. It is the best text known to the reviewer for anyone trying to make an analysis course less abstract. (...)" The Mathematical Gazette (75.1991.471). 410 0$aClassics in Mathematics,$x2512-5257 606 $aFunctions of real variables 606 $aFunctions, Special 606 $aReal Functions 606 $aSpecial Functions 615 0$aFunctions of real variables. 615 0$aFunctions, Special. 615 14$aReal Functions. 615 24$aSpecial Functions. 676 $a515 676 $a515 700 $aCourant$b Richard$f1888-1972.$0447721 701 $aJohn$b Fritz$f1910-1994.$01725550 701 2$aCourant$b Richard$f1888-1972.$0447721 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910962859003321 996 $aIntroduction to Calculus and Analysis I$94411771 997 $aUNINA