Basic analysis IV : measure theory and integration
Material type:
TextPublication details: Boca Raton : CRC Press/Taylor & Francis Group, 2020. Description: xi, 488 pages : 13 B/W IllustrationsISBN: 9781138055117Subject(s): Integrals | Measure theory | Functional Analysis | Mathematical analysis -- TextbooksDDC classification: 517 Online resources: Table of contents | Reviews Summary: 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
| Item type | Current library | Call number | Status | Date due | Barcode |
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Book
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NISER LIBRARY | 517 PET-B (Browse shelf(Opens below)) | Available | 25600 |
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
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