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The Essence of Calculus: Discovering the Fundamental Theorem

Grant SandersonDistinguished3Blue1Brown

Mathematician & Educator

17:04·2017·introductory level·Standalone Lecture

Strips away rote differentiation rules by slicing concentric rings of radius r and thickness dr so the Fundamental Theorem of Calculus emerges visually before a single formula.

MathematicsCalculus & AnalysisFinancial Theory & MarketsFundamental TheoremReal Analysis

Unpacks the area of a circle via concentric thin rings to reveal how integrals and derivatives emerge as exact inverses—making you feel you could have invented calculus yourself.

Source: 3Blue1Brown via YouTubeWatch on YouTube
LecturerAll lecturers →
Grant SandersonDistinguished

Creator of 3Blue1Brown & Sanderson Mathematical Exposition

Mathematician and educator who created 3Blue1Brown and the Manim mathematical animation engine.

14 lecturesCanon

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