It’s ELLIPTIC! (Part I : The Ellipse & Elliptic Functions )

The study of the ellipse sparked a scientific revolution which continues today!
Part I explores the properties of the Ellipse and the evolution of Elliptic Integrals as well as Elliptic functions.
#artofproblemsolving #mathematics #calculus #integral #integralcalculus #integration #physics #lawsofmotion
#ellipse #keplerslaws #ellipticorbits #newton #leibniz #arclength #complexnumbers #eulersformula #ellipticintegrals
#ellipticfunctions #circularfunctions #trigonometry #trigonometricidentities #euler #jacobi #legendre #cassini #copernicus
#geocentric #heliocentric #geomcentrism #heliocentrism #galileo #pythagoreantheorem #differentialequations #modularsurface
#cassiniancurves #cassinianoval #coordinategeometry #descartes #fermat #complexanalysis