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First Analysis Lecture - Sequences, Series, Limits, and Continuity

Simons Foundation via YouTube

Overview

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Attend the first analysis lecture in a comprehensive mathematics formalization workshop designed to train PhD students and postdocs in Lean theorem proving. Learn fundamental analysis concepts including sequences and series, limits of real-valued functions, and continuity through a bilingual approach that seamlessly integrates traditional mathematical instruction with Lean formalization techniques. Develop proficiency in formalizing undergraduate-level mathematical solutions while gaining hands-on experience with the Mathlib library. This lecture serves as the foundation for a two-week intensive program where participants will progress from basic formalization skills to advanced collaborative projects, including contributions to major mathematical formalization efforts like the Fermat's Last Theorem and Prime Number Theorem projects.

Syllabus

Alex Kontorovich: First Analysis Lecture (June 16, 2025)

Taught by

Simons Foundation

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