Anti-Shapeshifters - Easy Visual Logs and Hyperbolic Trig
Offered By: Mathologer via YouTube
Course Description
Overview
Explore visual logarithms and hyperbolic trigonometry in this 33-minute video lecture. Delve into fascinating mathematical concepts, starting with a Rubik's cube demonstration and progressing through area calculations, infinite series sums, and logarithmic bases. Discover the visual representation of logarithms and investigate the properties of circles in different coordinate systems. Examine the relationship between exponential and hyperbolic functions, culminating in a proof of the equation e^a = cosh(a) + sinh(a). Gain insights into the connections between these mathematical ideas and their applications in physics, including Lorentz transformations in special relativity.
Syllabus
Intro
Rubik's cube and drill
What's the area?
Sum of 1+1/2+1/3+...
Mystery sum
What base?
What is Log_bx?
Is this a circle?
Proof that e^a = cosha + sinha
Thanks
Taught by
Mathologer
Related Courses
Pre-Calculus: TrigonometryUniversity of California, Irvine via Coursera Invitation to Mathematics הזמנה למתמטיקה
Hebrew University of Jerusalem via Coursera Cours préparatoire: Fonctions Trigonométriques, Logarithmiques et Exponentielles
École Polytechnique Fédérale de Lausanne via edX On-Ramp to AP* Calculus
Weston High School via edX Pre-Calculus
Universitat Autònoma de Barcelona (Autonomous University of Barcelona) via Coursera