Real Analysis and Applications

Theory in Practice
2010. Auflage 2009
ISBN: 978-0-387-98097-3
Verlag: Springer

Buch, Englisch, 513 Seiten, Format (B × H): 164 mm x 243 mm, Gewicht: 2010 g

Reihe: Undergraduate Texts in Mathematics

This new approach to real analysis stresses the use of the subject with respect to applications, i.e., 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. This book is appropriate for math enthusiasts with a prior knowledge of both calculus and linear algebra.

Zielgruppe

Graduate

Autoren/Hrsg.

Davidson, Kenneth R

Donsig, Allan P

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

Analysis.- Review.- The Real Numbers.- Series.- Topology of.- Functions.- Differentiation and Integration.- Norms and Inner Products.- Limits of Functions.- Metric Spaces.- Applications.- Approximation by Polynomials.- Discrete Dynamical Systems.- Differential Equations.- Fourier Series and Physics.- Fourier Series and Approximation.- Wavelets.- Convexity and Optimization.