This is a curated math column: practical notes that summarize a whole book into a usable reference.

Note: the series below is written as my own study notes from the textbook; it is not a reproduction of the book.

Series: The Lebesgue–Stieltjes Integral (Carter & van Brunt)

  1. Lebesgue–Stieltjes Integral: Chapter 1 — Real Numbers Chapter 1
  2. Lebesgue–Stieltjes Integral: Chapter 2 — Some Analytic Preliminaries Chapter 2
  3. Lebesgue–Stieltjes Integral: Chapter 3 — The Riemann Integral Chapter 3
  4. Lebesgue–Stieltjes Integral: Chapter 4 — The Lebesgue–Stieltjes Integral Chapter 4
  5. Lebesgue–Stieltjes Integral: Chapter 5 — Properties of the Integral Chapter 5
  6. Lebesgue–Stieltjes Integral: Chapter 6 — Integral Calculus Chapter 6
  7. Lebesgue–Stieltjes Integral: Chapter 7 — Double and Repeated Integrals Chapter 7
  8. Lebesgue–Stieltjes Integral: Chapter 8 — The Lebesgue Spaces L^p Chapter 8
  9. Lebesgue–Stieltjes Integral: Chapter 9 — Hilbert Spaces and L² Chapter 9
  10. Lebesgue–Stieltjes Integral: Chapter 10 — Epilogue Chapter 10

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