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Titlebook: Introduction to Calculus and Analysis I; Richard Courant,Fritz John Book 1999 Springer-Verlag Berlin Heidelberg 1999 Fourier series.calcul

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书目名称Introduction to Calculus and Analysis I
编辑Richard Courant,Fritz John
视频video
概述It is the best known textbook to the reviewer for anyone trying to make an analysis course less abstract.".This book is highly recommended both to instructors and students."
丛书名称Classics in Mathematics
图书封面Titlebook: Introduction to Calculus and Analysis I;  Richard Courant,Fritz John Book 1999 Springer-Verlag Berlin Heidelberg 1999 Fourier series.calcul
描述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 There are three aspects of Courant and John in which it outshines (some) contemporaries: (i) the extensive historical references, (ii) the chapter on numerical methods, and (iii) the two chapters on physics and geometry.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)
出版日期Book 1999
关键词Fourier series; calculus; differential equation; numerical methods; real analysis
版次1
doihttps://doi.org/10.1007/978-3-642-58604-0
isbn_softcover978-3-540-65058-4
isbn_ebook978-3-642-58604-0Series ISSN 1431-0821 Series E-ISSN 2512-5257
issn_series 1431-0821
copyrightSpringer-Verlag Berlin Heidelberg 1999
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Numerical Methods,ly considered satisfactory, but relevant questions always remain to be answered. Thus, when the solution is defined by a limit process, for example by an integral, the problem arises of actually finding approximations to this limit and of estimating the accuracy of these approximations. Not only are
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Richard Courant,Fritz Johns the Rubicon into differential calculus. The first, and crucial, step is to introduce first-order differential forms on a noncommutative space defined by a (complex) pre-C*-algebra .. We say crucial because, in most developed differential calculi (e.g., the usual de Rham complex of differential for
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