000			02053nmm a22002535i 4500
005			20230705150643.0
008			121227s1999 gw | s |||| 0|eng d
020			_a9783642586040 _9978-3-642-58604-0
082			_a515.8 _223
100			_aCourant, Richard. _920794
245			_aIntroduction to Calculus and Analysis I _h[electronic resource] / _cby Richard Courant, Fritz John.
250			_a1st ed. 1999.
260			_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1999.
300			_aXXIII, 661 p. 184 illus. _bonline resource.
505			_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.
520			_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 There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry.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).
650			_aFunctions of real variables. _920795
650			_aSpecial functions. _920796
650			_aReal Functions. _920797
650			_aSpecial Functions. _920798
700			_aJohn, Fritz. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _920799
856			_uhttps://doi.org/10.1007/978-3-642-58604-0
942			_cEBK
999			_c13680 _d13680