An introduction to measure theory
von Terence Tao- Erstmals veröffentlicht
- 2011
- Verlage
- American Mathematical Society
- Sprache
- English
Almost perfect mathematical introduction: concise but the concepts are well motivated. Perhaps not usual request for a graduate book, but pictures may help for easier understanding.
The explanations are very clear. The text begins from the Lebesgue theory and builds up to more general measure theory, which will be helpful to people who are new to the area.
This text adopts the "bottoms-up" approach of starting with elementary measure and working through Jordan measure to Lebesgue outer measure, and finally Lebesgue measure itself. In my opinion, measure theory (at least in concrete cases) is a fairly intuitive subject, but it does have a tendency to get a little messy.
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