---

＜E-Book＞
Introduction to Calculus and Analysis I / by Richard Courant, Fritz John
(Classics in Mathematics. ISSN:25125257)

Edition	1st ed. 1999.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	1999
Size	XXIII, 661 p. 184 illus : online resource
Authors	*Courant, Richard author John, Fritz author SpringerLink (Online service)
Subjects	LCSH:Functions of real variables LCSH:Special functions FREE:Real Functions FREE:Special Functions
Notes	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 There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry.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) HTTP:URL=https://doi.org/10.1007/978-3-642-58604-0

 Similar Items