Basel Problem: Euler's Proof

Related lectures (31)

Page 2 of 4

Explores Cartesian equations of tangents, vector equations, and rules for doubling and duplication in circles.

Covers the definitions of convergent and divergent series and explores the harmonic series and alternating series.

Explores circles, tangents, right lines, planes, and vector products in analytical geometry.

Covers convergence theorems and integrable functions, including the Lebesgue integral and Borel-Cantelli sets.

Covers regular curves and constant speed, with examples of circles and helices.

Covers the equivalence criterion for series convergence and provides illustrative examples.

Explores the Cauchy-Hadamard theorem on convergence radius of power series and real analytical solutions.

Explores series convergence criteria, generalized integrals, and Taylor series applications.

Explores the definitions, properties, and symmetry of spheres, including tangent planes and section circles.

Explores curves with Poritsky property, Birkhoff integrability, and Liouville nets in billiards.