<p>This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics.</p><p>Motivated by a brief review of Riemann integration and its deficiencies, the text begins by immersing students in the concepts of measure and integration. Lebesgue measure and abstract measures are developed together, with each providing key insight into the main ideas of the other approach. Lebesgue integration links into results such as the Lebesgue Differentiation Theorem. The development of products of abstract measures leads to Lebesgue measure on <b>R</b><i><sup>n</sup></i>.</p><p>Chapters on Banach spaces, <i>L<sup>p</sup></i> spaces, and H
Pris: kr 589.00 fra Norli
Butikk | Pris | |
---|---|---|
kr 589.00 | Besøk butikk |
Offers a treatment of measure and integration that begins with a brief review of the Riemann integral and proceeds to a construction of Lebesgue measure on the real line. This text also treats probabilistic concepts, in chapters on ergodic theory, probability...
kr 1149.00
Mer informasjon
This paperback, gives a self-contained treatment of the theory of finite measures in general spaces at the undergraduate level.
kr 619.00
Mer informasjon