terrytao.wordpress.com/analysis
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Terence Tao's Analysis blog is an extensive collection of expository articles, lecture notes, and discussions centered on real analysis and its connections to harmonic analysis, PDE, and additive combinatorics. It features accessible explanations, rigorous proofs, and problem-style posts that illustrate key concepts and techniques in analysis.
More resources on Real Analysis
ocw.mit.edu/analysis
MIT OpenCourseWare's Analysis page offers free, self-contained course materials from MIT's real analysis courses, including lecture notes, problem sets, assignments, and exams. It covers topics in real analysis (such as sequences, convergence, and measure theory) for self-paced study.
analysiswebnotes.com
AnalysisWebNotes is a study resource for Real Analysis, offering lecture notes, tutorials, and worked examples. It covers core topics such as sequences and series, continuity, metric spaces, and measure and Lebesgue integration, with explanations and practice problems.