Basic analysis IV : measure theory and integration
Peterson, James K.
Basic analysis IV : measure theory and integration - Boca Raton : CRC Press/Taylor & Francis Group, 2020. - xi, 488 pages : 13 B/W Illustrations
Includes bibliographical references.
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
9781138055117
Integrals
Measure theory
Functional Analysis
Mathematical analysis--Textbooks.
517 / PET-B
Basic analysis IV : measure theory and integration - Boca Raton : CRC Press/Taylor & Francis Group, 2020. - xi, 488 pages : 13 B/W Illustrations
Includes bibliographical references.
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
9781138055117
Integrals
Measure theory
Functional Analysis
Mathematical analysis--Textbooks.
517 / PET-B
