Basic analysis IV : measure theory and integration / James K. Peterson.
Peterson, James K. (James Kent)| Call Number | 515.42 |
| Author | Peterson, James K. author. |
| Title | Basic analysis IV : measure theory and integration / James K. Peterson. |
| Edition | First edition. |
| Physical Description | 1 online resource (xi, 488 pages) : illustrations |
| 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 |
| Subject | MEASURE THEORY. INTEGRALS. MATHEMATICS / Functional Analysis MATHEMATICS / Applied |
| Multimedia |
Total Ratings:
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| 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 |
| Subject | MEASURE THEORY. INTEGRALS. MATHEMATICS / Functional Analysis MATHEMATICS / Applied |
| Multimedia |