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Title: Concise, lucid and elegant
Review: Why books as good as this one, risk to disappear forever?It is a tiny set of lecture notes, dealing with sigma algebras, measures and the integration process associated. It's quite thin, but much detailed, covering Fubini and Radon-Nykodim theorems (no Riesz representation though). The geometric side of measure theory is limited to differentiation of measures. The book ends with a brief chapter on Fourier series. It compares well with later bigger introductions like Rudin'sReal and Complex Analysis (International Series in Pure and Applied Mathematics)first chapters or Aliprantis'Principles of Real Analysis, Third Edition. No exercises, but who need them? Great writing.
