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Fundamental Ideas of Analysis

ISBN: 978-0-471-15996-4
432 pages
August 1997, ©1998
Fundamental Ideas of Analysis (0471159964) cover image
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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The Riemann Integral.


Sequences of Functions.

Series of Functions.

Differential Equations.

Complex Analysis.

Fourier Series.

Probability Theory.


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