Real Analysis and Applications

Download or read book Real Analysis and Applications written by Kenneth R. Davidson and published by Springer Science & Business Media. This book was released on 2009-10-13 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.