Galileo Galilei • Freier Fall • Linearisierung • Ableitung • #vAzS004 Remastered | Josef M. Gaßner

Galileo Galilei developed essential conceptual cornerstones of classical mechanics. Furthermore, his observations of Jupiter's moons dramatically changed our understanding of the universe. Using Galileo's experiments with falling bodies as examples, Josef M. Gaßner also introduces the fundamentals of infinitesimal calculus and linearization—which we will need for more complex theories. REMASTERED refers to the remastering, supplementation, and correction of the original playlist "From Aristotle to String Theory." As a companion and supplement to the video series, you will find the books "Can We Understand the World?" and "Cosmology—The Greatest Story of All Time," with over a thousand pages and hundreds of illustrations, at www.urknall-weltall-leben.de. The videos are linked via QR codes. 00:00 - Welcome: Galileo Galilei and Jupiter's Moons 00:53 - Simon Marius & the Plagiarism Controversy 01:46 - Conflict with the Church: House Arrest for Life 02:46 - The Birth of Modern Science 02:54 - Aristotle's Error: Do Heavy Masses Fall Faster? 03:14 - Benedetti's Thought Experiment on the Speed ​​of Falling 04:23 - Galileo's Problem: How Do You Measure Time Without a Stopwatch? 05:13 - The ingenious solution: The inclined plane in slow motion 06:03 - Experimental data: Quadratic growth of the path 08:21 - The realization: Constant acceleration in free fall 09:14 - Outlook on Newton and calculus 13:23 - The concept of the derivative (differential calculus) explained clearly 16:48 - The slope as a measure of change (dy/dx) 19:51 - From distance to velocity and acceleration 24:44 - Calculation rules: Differentiation of polynomials explained simply 27:31 - Drop test on the moon: The Apollo 15 mission 28:51 - The pendulum: Period of oscillation and string length 30:14 - Restoring force & geometry of the pendulum 32:25 - The process of linearization: Sine Alpha ≈ Alpha 38:09 - Closing remarks: Tycho Brahe's legacy & Galileo's rehabilitation 1992 #vAzS #vAzS004 #Science #Physics #Learning #Universe #Cosmology Big Bang, Universe, and Life (www.urknall-weltall-leben.de) Scientists explain science Books related to the channel ► https://urknall-weltall-leben.de/shop... Live lectures ► https://www.josef-gassner.de/veransta... Donate ► https://urknall-weltall-leben.de/spen... Subscribe ► https://www.youtube.com/user/UrknallW... Thank you to everyone who supports our project!