ENGLISH

Real Analysis with Real Applications

By Kenneth R. Davidson , Allan P. Donsig

Book information

Year
2001
ISBN
0130416479, 9780130416476
Open Library ID
OL7331676M
Language
english
Format
PDF
Filesize
4 MB (3681873 bytes)
Pages
624\642
Time added
2011-06-04 13:46:07
Математика;Математический анализ

Description

Using a progressive but flexible format, this book contains a series of independent chapters that show how the principles and theory of real analysis can be applied in a variety of settings—in subjects ranging from Fourier series and polynomial approximation to discrete dynamical systems and nonlinear optimization. Users will be prepared for more intensive work in each topic through these applications and their accompanying exercises. Chapter topics under the abstract analysis heading include: the real numbers, series, the topology of R^n, functions, normed vector spaces, differentiation and integration, and limits of functions. Applications cover approximation by polynomials, discrete dynamical systems, differential equations, Fourier series and physics, Fourier series and approximation, wavelets, and convexity and optimization. For math enthusiasts with a prior knowledge of both calculus and linear algebra.

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