S3E32. Hyperbolically speaking
In this episode, while evaluating a seemingly trivial integral, we learn a valuable lesson in the words of a mathematician, Michael Atiyah (1929 - 2019), who received both the Fields Medal and the Abel's Prize: the devil will take your soul. The only question then is whether you can get your soul back or not. In another historically sweeping chain of events, there was a mathematician who never gave up his soul to the devil. Leonard Euler (1707 - 1783), a master craftsman of creatively spinning seemingly childish observations seven ways to Sunday into something that is not so trivial in the end. Thus, the moral of this story is: think before you shuffle (symbols). Separately, in this episode we also setup the stage for an introduction of the four popular hyperbolic functions by a direct analogy with their circular cousins.
S3E38. What mathematicians do all day or Euler-Poisson integral evaluation via the Squeeze Theorem
S3E27. Narayana's next linear permutation algorithm
S3E30. A Loxodrome, a deduction of an equation
S3E33. Recurrence relations evaluate integrals
S3E39. A bead sliding off of a massless rod that rotates with a decreasing angular velocity
We're 99.9% sure this pattern is true, but no one can prove it
Mathe-News! 🚨 Die Jacobi-Vermutung wurde mit einem Tweet widerlegt!
How Bees CRACKED a 2,000-Year-Old Math PROBLEM!
Why you don't understand GREEN'S THEOREM -- Geometric Algebra, Calculus 3, Vector Calculus
S3E25. A divisibility-by-7 test design via Reduce-And-Conquer
S3E28. In Like A Lion, Out Like A Lamb
Nobody Explained the Schrödinger Equation Like THIS!
2026 Fields Medal: Yu Deng
A Top Mathematician's 9 Lessons for Anyone Who Feels Behind | Ken Ono, Axiom Math
S3E24. Three creative evaluations of ubiquitous integrals
S3E34. Hyperbolic functions defined by a direct analogy with circular functions
MORNING PRAYER | Surrender Your Family to God with Faith and Walk this Day in His Peace and Prote...
Cauchy Residue Theorem, Introduction
S3E37. Sine as an infinite product and its three applications
