Measure, Integration & Real Analysis — Axler

Sheldon Axler, 1st Edition (open access)

Lebesgue measure and integration built from scratch, \(L^p\) spaces, Banach and Hilbert spaces, linear maps on Hilbert spaces, and Fourier analysis. The layer between the Riemann-based real analysis in Ross and the functional-analytic machinery behind signals, transforms, and distribution theory.

Chapters

Exercises added as I work through each chapter.