Metrics, Norms And Integrals: An Introduction To Contemporary Analysis

Download or read book Metrics, Norms And Integrals: An Introduction To Contemporary Analysis written by Jerry J Koliha and published by World Scientific Publishing Company. This book was released on 2008-11-11 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metrics, Norms and Integrals is a textbook on contemporary analysis based on the author's lectures given at the University of Melbourne for over two decades. It covers three main topics: metric and topological spaces, functional analysis, and the theory of the Lebesgue integral on measure spaces. This self-contained text contains a number of original presentations, including an early introduction of pseudometric spaces to motivate general topologies, an innovative introduction to the Lebesgue integral, and a discussion on the use of the Newton integral. It is thus a valuable book to inform and stimulate both undergraduate and graduate students.