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

データ種別 電子ブック
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1999
本文言語 英語
大きさ XXIII, 661 p. 184 illus : online resource

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EB0094764

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内容注記 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
一般注記 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 There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry.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)
著者標目 *Courant, Richard author
John, Fritz author
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Functions of real variables
LCSH:Special functions
FREE:Mathematics
FREE:Real Functions
FREE:Special Functions
分 類 DC23:515.8
巻冊次 ISBN:9783642586040 REFWLINK
ISBN 9783642586040
URL http://dx.doi.org/10.1007/978-3-642-58604-0
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