Basic Analysis IV (eBook)

Measure Theory and Integration

James K. Peterson (Autor)

eBook Download: EPUB

2020
500 Seiten
CRC Press (Verlag)
978-1-351-67923-7 (ISBN)

Infos

Basic Analysis IV: Measure Theory and Integration introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides.Features* Can be used as a traditional textbook as well as for self-study * Suitable for advanced students in mathematics and associated disciplines* Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions

Produkt-Details

• Erscheint lt. Verlag: 12.8.2020
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Technik ► Umwelttechnik / Biotechnologie
• ISBN-10: 1-351-67923-6 / 1351679236
• ISBN-13: 978-1-351-67923-7 / 9781351679237