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Measure, Integral and Probability13 reviews
Marek Capinski, Peter E. Kopp

Springer, 2007

Very good introduction to measure theory
Very good intro for first encounters with measure theory. Throughout the application in probability theory is emphasized. The necessity of each concept introduced is motivated with clear examples. Interesting problem sets are provided after each section; their solutions are given in the appendix.
  
  











  







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