Fundamental ideas of analysis

Michael C. Reed

The ideas and methods of mathematics, long central to the physical sciences, now play an increasingly important role in a wide variety of disciplines. Analysis provides theorems that prove that results are true and provides techniques to estimate the errors in approximate calculations. The ideas and methods of analysis play a fundamental role in ordinary differential equations, probability theory, differential geometry, numerical analysis, complex analysis, partial differential equations, as well as in most areas of applied mathematics.

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  • Preliminaries. Sequences. The Riemann Integral. Differentiation. Sequences of Functions. Series of Functions. Differential Equations. Complex Analysis. Fourier Series. Probability Theory. Bibliography. Indexes.

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書名 Fundamental ideas of analysis
著作者等 Reed Michael
Reed Michael C.
出版元 Wiley
刊行年月 c1998
ページ数 413 p.
大きさ 26 cm
ISBN 0471159964
NCID BA34402789
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言語 英語
出版国 アメリカ合衆国