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

1st ed. 1999.
出版者 (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年 1999
大きさ XXIII, 661 p. 184 illus : online resource
著者標目 *Courant, Richard author
John, Fritz author
SpringerLink (Online service)
件 名 LCSH:Functions of real variables
LCSH:Special functions
FREE:Real Functions
FREE:Special Functions
一般注記 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 There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry.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
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データ種別 電子ブック
分 類 LCC:QA331.5
DC23:515.8
書誌ID 4000110033
ISBN 9783642586040

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