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Cover image for book A Concise Introduction to Measure Theory

A Concise Introduction to Measure Theory

By:Satish Shirali
Publisher:Springer Nature
Print ISBN:9783030032401
eText ISBN:9783030032418
Edition:0
Copyright:2018
Format:Reflowable

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This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration. The author takes an approach to integration based on the notion of distribution. This approach relies on deeper properties of the Riemann integral which may not be covered in standard undergraduate courses. It has certain advantages, notably simplifying the extension to "fuzzy" measures, which is one of the many topics covered in the book. This book will be accessible to undergraduate students who have completed a first course in the foundations of analysis. Containing numerous examples as well as fully solved exercises, it is exceptionally well suited for self-study or as a supplement to lecture courses.