Metrics, Norms, Inner Products, and Operator Theory – eBook PDF This ebook is a self-contained introduction to the three main families that we face in analysis – normed spaces, metric spaces, and inner product spaces– and to the operators that change objects in one into objects in another. With a focus on the fundamental properties defining the spaces, this ebook guides readers to a deeper understanding of analysis and an understanding of the field as the “science of functions.” Many crucial topics that are hardly presented in an accessible way to undergraduate students are included, such as unconditional convergence of series, the...
Metrics, Norms, Inner Products, and Operator Theory – eBook PDF
