Real Analysis and Applications Theory in Practice /

• Main Authors: Davidson, Kenneth R. (Author), Donsig, Allan P. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Global analysis (Mathematics).; Analysis.; Applications of Mathematics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-387-98098-0

This new approach to real analysis stresses the use of the subject in applications, showing how the principles and theory of real analysis can be applied in various settings. Applications cover approximation by polynomials, discrete dynamical systems, differential equations, Fourier series and physi...

Table of Contents:

• Preface
• Review
• The Real Numbers
• Series
• Topology of Rn
• Functions
• Differentiation and Integration
• Norms and Inner Products
• Limits of Functions
• Metric Spaces
• Approximation by Polynomials
• Discrete Dynamical Systems
• Differential Equations
• Fourier Series and Physics
• Fourier Series and Approximation
• Wavelets
• Convexity and Optimization
• References
• Index.