Departure question
Catch change and accumulationPort 6 of 18Follow the languages built to calculate a world that will not stand still, from planets and fluids to waves, optimization, and chaos.
This voyage is an editorial path for understanding, not a claim of direct historical influence or sole invention.
Write relations among rates of change as equations. Differential equations model population growth, radioactive decay, planetary motion, and epidemic spread. Newtonian mechanics, Schrödinger's equation, Maxwell's equations, and Navier–Stokes are prominent examples, while some phenomena are better described by stochastic, discrete, or data-driven models.
Equations relating functions to their derivatives — the language of laws of change.
Ports in time
Follow the scenes to see problems, notation, standards of proof, and applications changing across different times and places.
Newton’s laws of motion and universal gravitation made changing quantities and their rates the language of mechanics, opening the age of differential equations in physics.
No reliable place is given, so time continues without an invented pin
Continue through the world of this yeard’Alembert derived a partial differential equation for a vibrating string, beginning the mathematical description of waves in sound and light.
No reliable place is given, so time continues without an invented pin
Continue through the world of this yearMaxwell’s theory unified electricity, magnetism, and optics in a system of differential equations and predicted that light is an electromagnetic wave.
No reliable place is given, so time continues without an invented pin
Continue through the world of this yearThe Black–Scholes model used a differential equation to describe option prices, helping launch modern quantitative finance.
No reliable place is given, so time continues without an invented pin
Continue through the world of this yearNewtonian mechanics, Maxwell’s equations, the Schrödinger equation, Navier–Stokes fluids, Black–Scholes option pricing, and SIR epidemic models — the basic language of models across nature and society.
Curated sources and problems. Bring one discovery back from OEIS, Project Euler, MathOverflow, or arXiv.
No concept belongs to one person
These are not inventor credits. They are different ports: opening a problem, sharpening a language, or carrying it into another world.
Number lenses
These numbers are editorial lenses for the voyage, not required prerequisites.
Follow the languages built to calculate a world that will not stand still, from planets and fluids to waves, optimization, and chaos.
Open the number voyage
Follow the languages built to calculate a world that will not stand still, from planets and fluids to waves, optimization, and chaos.
Open the number voyage
Follow the languages built to calculate a world that will not stand still, from planets and fluids to waves, optimization, and chaos.
Open the number voyage
Concept genealogy
Concepts arriving from before
Current port
Differential Equations
Concepts opened from here
Only direct editorial links are shown; this is not a complete learning order or historical influence line.
