Measure theory and integral : theory and practice
著者
書誌事項
Measure theory and integral : theory and practice
（Textbooks in mathematics）（A Chapman & Hall book）
CRC Press, [2025]
Seventh edition
- : hbk
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注記
Includes bibliographical references and index
Summary:"This accessible introduction to the topic covers the theory of measure and integral, as introduced by Lebesgue and developed in the first half of the 20th century. It leads naturally to Banach spaces of functions and linear operators acting on them. This material is typically covered in a graduate course and is almost always treated in an abstract way, with little or no motivation. The author employs a plethora of examples and exercises and strives to motivate every concept with its historical background. This textbook is accessible to a wider range of students, including at the undergraduate level. A major problem facing anyone teaching measure theory is how to combine the elementary approach (measure on the real line or in the plane) and the abstract measure theory. The author develops a theory of measure in the plane, then show how to generalize these ideas to an abstract setting. The result is a textbook accessible to a wider range of students. The material requires a good understanding of topics
Content Type: text (ncrcontent), Media Type: unmediated (ncrmedia), Carrier Type: volume (ncrcarrier)
