Published on Nov 18, 2015

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- René Descartes was born on March 31, 1596, in La Haye, France, and died on February 11, 1650, in Stockholm, Sweden.
- He was the youngest of three children, and his mother died when he was one.
- His father sent him to a boarding school at Jesuit College of Henri IV at age 8.
- Descartes is mostly known for his famous quote: "I think, therefore I am."
- He was a French philosopher, Scientist, and a Mathematician.

- His works were created from his idea "Cogito, ergo sum.", which means, "I think, therefore I am."
- In 1618, he was a student of mathematics and military architecture.
- He was influenced by physicist Isaac Beeckman in his studies of mathematics and science.
- He created a method of deductive reasoning for all sciences based on mathematics.

- Life span- March,1596-February,1650.
- Early education started at Jesuit College of Henri IV at age 8 thru 15.
- Age 15 thru 22 studied Law at the University of Poiters.
- Age 22, after graduating from the University of Poiters, he had visions that
- -determined the course of his study for the rest of his life.

- 1616-1629 Early mathematical researches
- 1628 Moved to the Netherlands.
- 1635 Daughter Francine was born. She died 5 years later from a fever.
- 1637 Wrote "La Géométrie"

- La Haye, Touraine, France - birthplace
- Stockholm, Sweden - residence at time of death
- Chatellerault and Poiters - location of Father's farms and houses
- Le Flèche, France - Studies
- Northern & Southern Europe - travelled 1619 to 1628

- Bohemia, Czech Republic - invented "analytic geometry" -1619
- Paris, France - moved here in 1622
- Netherlands - spent last 22 years of his life here after leaving Paris.

- Great influence in his study of mathematics was Isaac Beeckman
- Beeckman engaged Descartes in thinking of the problems between
- -"falling bodies, physic-Mathematica and mathematical problems.
- Discovered theories and ideas during his studies with Beeckman that would
- -make analytic geometry possible.

- He felt that geometry was the basic mathematical science
- -with algebraic formulas as an option for calculations that were too difficult
- -using a compass and ruler.
- Nineteenth century algebraic geometry became "Cartesian coordinates"; in honor of his
- -discovery.

- Descartes explains "how" in his introduction in La Géométrie:
- "Any problem in geometry can be easily reduced to such terms that a
- -knowledge of the length of certain straight lines is sufficient for construction."
- Defined a unit of length and created procedures for adding, subtracting, multiplying and
- -dividing line segments and for graphically figuring out root segments.

- Geometric problems could be expressed in algebraic terms
- --using a vertical axis, "a" and a horizontal axis, "b"
- Told Beeckman that there is no problem in geometry can't be expressed using
- -axis, lines and curves; such as lower a,b,c for known quantities and x,y,z
- --and lowercase x,y, and z for unknown quantities