Can I read Real Analysis : Measure and Integration on EtoBox?

Real Analysis : Measure and Integration by Marat V. Markin is a nonfiction available to read on EtoBox.

What is Real Analysis : Measure and Integration about?

<P>The philosophy of the book, which makes it quite distinct from many existing texts on the subject, is based on treating the concepts of measure and integration starting with the most general abstract setting and then introducing and studying the Lebesgue measure and integration on the real line as an important particular case.　 </P> <P></P> <P>The book consists of <EM>nine chapters</EM> and <EM>appendix,</EM> with the material flowing from the <EM>basic set classes</EM>, through　<EM>measures</EM>, <EM>outer measures </EM>and the general procedure of <EM>measure extension, </EM>through <EM>measurable functions</EM>　and　<EM>various types of convergence </EM>of sequences of such based on the idea of measure, to the fundamentals of the abstract Lebesgue integration, the basic <EM>limit theorems</EM>, and the comparison of the Lebesgue and Riemann integrals. Also, studied are <EM>Lp spaces, </EM>the basics of normed vector spaces, and <EM>signed </EM><EM>measures</EM>. The novel approach based on the Lebesgue measure and integration theory is applied to develop a better understanding of differentiation and extend the classical <EM>total change formula </EM>linking differentiation wit

Who reads Real Analysis : Measure and Integration?

Author

Marat V. Markin

Publisher

Saur, K. G., Verlag. ein Imprint der Walter de Gruyter GmbH

Published

2019

Language

EN

ISBN

9783110600971

Category

nonfiction

Subjects

Mathematics, Stem