When did Robert Recorde publish the book that introduced the equals sign?
Robert Recorde published The Whetstone of Witte in London on the 1st of January 1557. This text introduced the equals sign to the world for the first time on its third page.
Questions about Equation
Short answers, pulled from the story.
What is the difference between an identity and a conditional equation?
An identity holds true for every possible value of its variables, while a conditional equation works only for specific values. For example, x squared minus y squared equals (x plus y) times (x minus y) remains valid regardless of what numbers replace x or y.
Who proved that equations of degree five or higher cannot always be solved using algebraic methods?
The Abel-Ruffini theorem proves that equations of degree five or higher cannot always be solved this way. Equations of degree one through four can always be solved using algebraic methods involving finite operations on their coefficients.
How did René Descartes link geometry to algebra in the 17th century?
René Descartes revolutionized mathematics by linking Euclidean geometry to algebra through Cartesian coordinates. This system allows geometric shapes to be described by equations involving signed distances to mutually perpendicular planes.
What are Diophantine equations named after and when did they originate?
Diophantine equations seek integer values for unknowns within polynomial frameworks named after Hellenistic mathematician Diophantus of Alexandria. He lived during the 3rd century and pioneered early symbolic approaches to algebra.