It was René Descartes who is generally thought of as launching modern analytic geometry. He was dubbed the "Father of Modern Philosophy" but was a superb mathematician, a scientist and a writer. Use the link below and at least read the first paragraph to make your introduction to this world class intellectual.
Euclid compiled the book 'Elements' which has been used to teach the basics of geometry for more than 2,000 years.
Coordinate geometry, also known as analytic geometry, was developed by the French mathematician René Descartes in the 17th century. He introduced the idea of using a coordinate system to represent geometric shapes algebraically, allowing for the analysis of geometric problems using algebraic equations. This innovative approach laid the foundation for much of modern mathematics and has had a profound impact on various fields, including physics and engineering.
Although Descartes is generally credited with inventing analytical geometry, several aspects had been used by the Greek mathematicians Menaechmus (4th century BC) and Apollonius of Perga (3rd century BC). Much later (11th century), the Persian mathematician Omar Khayyam, used methods which modern mathematicians consider akin to analytical geometry. In 1637 Rene Descartes published his work on the topic but it was incomplete and was in French. It took another decade or so before it was translated into Latin and some of the gaps filled that Descartes' ideas took off.
The well-known book "Elements," which is the foundation for modern geometry, was written by the ancient Greek mathematician Euclid around 300 BCE. This work systematically compiled and presented the knowledge of geometry of his time, laying out definitions, postulates, and proofs. "Elements" has significantly influenced mathematical education and the development of logical reasoning in mathematics.
Euclid, a Greek mathematician, systematized geometry around 300 BC through his work "Elements." In this influential text, he presented a comprehensive compilation of the knowledge of geometry of his time, organizing it into a logical framework using definitions, postulates, and propositions. Euclid's approach laid the foundation for modern geometry and influenced mathematics for centuries.
It was the French mathematician Rene Descartes
Murray H. Protter has written: 'Calculus with analytic geometry: a second course' -- subject(s): Calculus, Geometry, Analytic 'Modern mathematical analysis' -- subject(s): Mathematical analysis 'Modern mathematical analysis and answers book' 'Basic elements of real analysis' -- subject(s): Mathematical analysis 'Calculus with analytic geometry' -- subject(s): Analytic Geometry, Calculus, Geometry, Analytic
Rene Descartes
William K. Smith has written: 'Calculus with analytic geometry' -- subject(s): Analytic Geometry, Calculus 'Modern college mathematics' -- subject(s): Mathematical analysis
René Descartes
Euclid compiled the book 'Elements' which has been used to teach the basics of geometry for more than 2,000 years.
Analytic...
He became one of the most influential thinkers in human history and was sometimes called the founder of modern philosophy. He was also an outstanding mathematician inventing analytic geometry and attempting to devise the simple universal laws that governed all physical change. He introduced the famous phrase in English 'I think, therefore I am'
analutic
Although Descartes is generally credited with inventing analytical geometry, several aspects had been used by the Greek mathematicians Menaechmus (4th century BC) and Apollonius of Perga (3rd century BC). Much later (11th century), the Persian mathematician Omar Khayyam, used methods which modern mathematicians consider akin to analytical geometry. In 1637 Rene Descartes published his work on the topic but it was incomplete and was in French. It took another decade or so before it was translated into Latin and some of the gaps filled that Descartes' ideas took off.
Claire Fisher Adler has written: 'Modern geometry' -- subject(s): Geometry, Foundations, Geometry, Modern, Modern Geometry
Alexander Grothendieck made significant contributions to algebraic geometry by introducing new and powerful techniques, such as sheaf theory and homological algebra, which revolutionized the field. His work laid the foundation for modern algebraic geometry and had a profound impact on mathematics as a whole.