Real Analysis with Real Applications by Allan P. Donsig,Kenneth R. Davidson

**Author:**Allan P. Donsig,Kenneth R. Davidson**Title:**Real Analysis with Real Applications**Size PDF ver:**1723 kb**Size ePUB ver:**1207 kb**Size Fb2 ver:**1686 kb**ISBN:**0130416479**ISBN13:**978-0130416476**Pages:**624**Other formats:**lrf rtf docx azw**Category:**Science & Math**Subcat:**Mathematics**Language:**English**Rating:**4.3 of 5**Votes:**518**Publisher:**Prentice Hall (December 30, 2001)**Hardcover:**Here

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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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