#proofUnmoderated tag#proofHotmes in # math • 15 days ago • 2 min readHarmonic Series: Proving it diverges via an ingenious methodIn this video, I show that the harmonic series, 1 + 1/2 + 1/3 + 1/4 + ..., diverges by showing its even power partial sums are greater than a similar but smaller series involving repeating 1/2 terms. This is a very clever derivation, and it was due to the French scholar Nicole Oresme from the 14th century. 3Speak - YouTube - Telegram…mes in # math • 1 mo. ago • 3 min readKepler's First Law: Planets Revolve around the Sun in an Ellipse3Speak - YouTube - Telegram - Summary - Notes - Sections playlist - Vector Functions playlist - MES Links In this video, I derive Kepler's 1st law of planetary motion entirely from Newton's second law of motion and Newton's law of universal gravitation, while making extensive use of the calculus of vector functions…
