03150nam 22006375 450 991096285900332120250730120411.03-642-58604-X10.1007/978-3-642-58604-0(CKB)3400000000104519(SSID)ssj0001297188(PQKBManifestationID)11735221(PQKBTitleCode)TC0001297188(PQKBWorkID)11374802(PQKB)11360113(DE-He213)978-3-642-58604-0(MiAaPQ)EBC3069321(PPN)237917289(EXLCZ)99340000000010451920121227d1999 u| 0engurnn#008mamaatxtccrIntroduction to Calculus and Analysis I /by Richard Courant, Fritz John1st ed. 1999.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,1999.1 online resource (XXIII, 661 p. 184 illus.)Classics in Mathematics,2512-5257Based on the first author's Vorlesungen uber Differential- und Integralrechnung.Reprint. Originally published: New York : Interscience Publishers, 1965.3-540-65058-X 1 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.From 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 There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry.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).Classics in Mathematics,2512-5257Functions of real variablesFunctions, SpecialReal FunctionsSpecial FunctionsFunctions of real variables.Functions, Special.Real Functions.Special Functions.515515Courant Richard1888-1972.447721John Fritz1910-1994.1725550Courant Richard1888-1972.447721MiAaPQMiAaPQMiAaPQBOOK9910962859003321Introduction to Calculus and Analysis I4411771UNINA