List of Renaissance Mathematicians (part 3)

This is a highly selected list.

21. Bombelli

Biography in Dictionary of Scientific Biography
Crater Bombelli

MACTUTOR. NAME
Born: Jan 1526 in Bologna, Italy
Died: 1572 in (probably) Rome, Italy
Summary: Rafael Bombelli was an Italian mathematician who wrote an influencial algebra text and made free use of both negative numbers and complex numbers.

WIKI. Rafael Bombelli (1526–1573) born in Bologna.
Summary: Italian mathematician. Author of a treatise on algebra. A central figure in the understanding of imaginary numbers.

The Galileo Project.

22. Viète

Biography in Dictionary of Scientific Biography
Encyclopaedia Britannica (also: Academic Edition, requires campus password)
Crater Vieta
Paris street name: Rue Viète (17th Arrondissement)

MACTUTOR. François Viète
Born: 1540 in Fontenay-le-Comte, Poitou (now Vendée), France
Died: 13 Dec 1603 in Paris, France
Summary: French amateur mathematician and astronomer. Introduced the first systematic algebraic notation in his book In artem analyticam isagoge. He was also involved in deciphering codes.

BRITANNICA. François Viète, seigneur de la Bigotiere
Born: 1540, Fontenay-le-Comte, France
Died: Dec. 13, 1603, Paris
Note: Seigneur = lord. Latin Franciscus Vieta.
Summary: Mathematician. Introduced the first systematic algebraic notation. Contributed to the theory of equations.

WIKI. François Viète (or Vieta), seigneur de la Bigotière (1540 - February 13, 1603)
Generally known as Franciscus Vieta.
Summary: French mathematician.

The Galileo Project.

23. Tycho Brahe

Biography in Dictionary of Scientific Biography
Encyclopaedia Britannica (also: Academic Edition, requires campus password)
Crater Tycho Brahe on Mars

MACTUTOR. Tycho Brahe
Born: 14 Dec 1546 in Knutstorp, Skane, Denmark (now Svalöv, Sweden)
Died: 24 Oct 1601 in Prague, Bohemia (now Czech Republic)
Summary: Danish astronomer. Best known for the astronomical observations which led Kepler to his theories.

BRITANNICA. Tycho Brahe
Born: December 14, 1546, Knudstrup, Scania, Denmark
Died: October 24, 1601, Prague
Summary: Danish astronomer. Paved the way for future discoveries by developing astronomical instruments and in measuring and fixing the positions of stars. His observations—the most accurate possible before the invention of the telescope—included a comprehensive study of the solar system and accurate positions of more than 777 fixed stars.

The Galileo Project

WIKI.

24. Thomas Harriot

Biography in Dictionary of Scientific Biography
Encyclopaedia Britannica (also: Academic Edition, requires campus password)
Crater Harriot

MACTUTOR. Thomas Harriot
Born: 1560 in Oxford, England
Died: 2 July 1621 in London, England
Summary: English mathematician. Did outstanding work on the solution of equations. Recognising negative roots and complex roots in a way that makes his solutions look almost like a present day solution.

BRITANNICA. Thomas Harriot
Born: 1560, Oxford, England
Died: July 2, 1621, London
also spelled Hariot
Summary: Mathematician, astronomer, and investigator of the natural world.

The Galileo Project

Aubrey's Brief Lives

WIKI.

25. Galileo

Biography in Dictionary of Scientific Biography
Encyclopaedia Britannica (also: Academic Edition, requires campus password)
Crater Galilaei and Rima Galilaei
Paris street names: Rue Galilée (16th Arrondissement)

MACTUTOR. Galileo Galilei
Born: 15 Feb 1564 in Pisa (now in Italy)
Died: 8 Jan 1642 in Arcetri (near Florence) (now in Italy)
Summary: Italian scientist. Formulated the basic law of falling bodies, which he verified by careful measurements. Constructed a telescope with which he studied lunar craters, and discovered four moons revolving around Jupiter and espoused the Copernican cause.

BRITANNICA. Galileo
Born: Feb. 15, 1564, Pisa [Italy]
Died: Jan. 8, 1642, Arcetri, near Florence
in full Galileo Galilei
Summary: Italian natural philosopher, astronomer, and mathematician. Made fundamental contributions to the sciences of motion, astronomy, and strength of materials and to the development of the scientific method. His formulation of (circular) inertia, the law of falling bodies, and parabolic trajectories marked the beginning of a fundamental change in the study of motion. His insistence that the book of nature was written in the language of mathematics changed natural philosophy to a mathematical one in which experimentation became a recognized method. Discoveries with the telescope revolutionized astronomy and paved the way for the acceptance of Copernicus. His advocacy of that system eventually resulted in an Inquisition process against him.

STANFORD.

The Galileo Project

WIKI.

Galileo facing the Roman Inquisition, 1857 painting by Cristiano Banti.

26. Kepler

Biography in Dictionary of Scientific Biography
Encyclopaedia Britannica (also: Academic Edition, requires campus password)
Crater Kepler
Crater Kepler on Mars

MACTUTOR. Johannes Kepler
Born: 27 Dec 1571 in Weil der Stadt, Württemberg, Holy Roman Empire (now Germany)
Died: 15 Nov 1630 in Regensburg (now in Germany)
Summary: German mathematician and astronomer. Postulated that the Earth and planets travel about the sun in elliptical orbits. Gave three fundamental laws of planetary motion. Also: optics and geometry.

BRITANNICA. Kepler, Johannes
Born: December 27, 1571, Weil der Stadt, Württemberg [Germany]
Died: November 15, 1630, Regensburg
Summary: German astronomer. Discovered three major laws of planetary motion: (1) the planets in elliptical orbits with the Sun at focus; (2) the time to traverse arc of an orbit proportional to the area of the sector; (3) relationship between the squares of the planets' periodic times and the cubes of the radii of their orbits. Kepler did not call these “laws,” but celestial harmonies reflecting God's design. Newton derived them: then called laws.

The Galileo Project

Kepler's Polyhedra

WIKI.

STANFORD.
Summary: "Not yet available"

Kepler's Platonic solid model of the Solar system from Mysterium Cosmographicum (1596). This earlier conception was later abandoned by Kepler in favor of his three laws.

27. Pedro Nunes

Biography in Dictionary of Scientific Biography

MACTUTOR. Pedro Nunes or Nunez. In full: Pedro Nunes Salaciense
Born: 1502 in Alcácer do Sal, Portugal
Died: 11 Aug 1578 in Coimbra, Portugal
Summary: Portuguese scholar. Worked in geometry, spherical trigonometry, algebra as well as geography, physics, and cosmology.

The Galileo Project

WIKI.

28. Simon Stevin

Biography in Dictionary of Scientific Biography
Encyclopaedia Britannica (also: Academic Edition, requires campus password)
Crater Stevinus

MACTUTOR. Simon Stevin
Born: 1548 in Bruges, Flanders (now Belgium)
Died: Feb 1620 in The Hague, Holland
Summary: Flemish mathematician. Presented the first elementary and thorough account of decimal fractions.

BRITANNICA. Stevin, Simon
Born: 1548, Bruges
Died: 1620, The Hague or Leiden, Neth.
Summary: Flemish mathematician. Helped standardize the use of decimal fractions. Aided in refuting Aristotle's doctrine that heavy bodies fall faster than light ones.

The Galileo Project

WIKI. INFO
Summary:

29. William Oughtred

Biography in Dictionary of Scientific Biography
Encyclopaedia Britannica (also: Academic Edition, requires campus password)

MACTUTOR. William Oughtred
Born: 5 March 1574 in Eton, Buckinghamshire, England
Died: 30 June 1660 in Albury, Surrey, England
Summary: English mathematician. Best known for his invention of an early form of the slide rule. Invented many new symbols including X for multiplication and :: for proportion.

BRITANNICA. Oughtred, William
Born: March 5, 1574, Eton, Buckinghamshire, England
Died: June 30, 1660, Albury, Surrey
Summary: English mathematician. Anglican minister. Invented the earliest form of the slide rule, two identical linear or circular logarithmic scales held together and adjusted by hand. Improvements involving the familiar inner sliding rule came later.

The Galileo Project

Aubrey's Brief Lives

WIKI

30. Albert Girard

Biography in Dictionary of Scientific Biography

MACTUTOR. Albert Girard
Born: 1595 in St Mihiel, France
Died: 8 Dec 1632 in Leiden, Netherlands
Summary: French mathematician and musician. His work on trigonometry is the first to use the abbreviations sin, cos, tan.

The Galileo Project

WIKI. Albert Girard (1595–1632)
Summary: French-born mathematician. Studied at the University of Leiden. MacTutor Archive: Had early thoughts on the fundamental theorem of algebra. Gave the inductive definition for the Fibonacci numbers. First to use the Trigonometry abbreviations 'sin', 'cos' and 'tan' . According to Ivan M. Niven, Herbert Zuckerman and Hugh Montgomery, first to state, in 1632, that each prime of form 1 mod 4 was the sum of two squares in exactly one way. This was proven by Fermat in 1654. Began as a lute player, not a mathematician.

31. Descartes

Biography in Dictionary of Scientific Biography
Encyclopaedia Britannica (also: Academic Edition, requires campus password)
Crater Descartes
Paris street name: Rue Descartes ( 5th Arrondissement)

MACTUTOR. René Descartes
Born: 31 March 1596 in La Haye (now Descartes),Touraine, France
Died: 11 Feb 1650 in Stockholm, Sweden
Summary: French philosopher. La géométrie includes his application of algebra to geometry from which we now have Cartesian geometry. A great influence on both mathematicians and philosophers.

BRITANNICA. Descartes, René
Born: March 31, 1596, La Haye, Touraine, France
Died: February 11, 1650, Stockholm, Sweden
Summary: French mathematician, scientist, and philosopher. One of the first to abandon scholastic Aristotelianism. Formulated the first modern version of mind-body dualism. Promoted the development of a new science grounded in observation and experiment. For these reasons, has been called the father of modern philosophy. Applying an original system of methodical doubt, he dismissed apparent knowledge derived from authority, the senses, and reason. Erected new epistemic foundations ( “Cogito, ergo sum”).

The Galileo Project

STANFORD

Aubrey's Brief Lives

WIKI

32. Fermat

Biography in Dictionary of Scientific Biography
Encyclopaedia Britannica (also: Academic Edition, requires campus password)
Crater Fermat
Paris street name: Passage Fermat and Rue Fermat (14th Arrondissement)

MACTUTOR. Pierre de Fermat
Born: 17 Aug 1601 in Beaumont-de-Lomagne, France
Died: 12 Jan 1665 in Castres, France
Summary: French lawyer and government official. Most remembered for his work in number theory; in particular for Fermat's Last Theorem. Also important in the foundations of the calculus.

BRITANNICA. Fermat, Pierre de
Born: August 17, 1601, Beaumont-de-Lomagne, France
Died: January 12, 1665, Castres
also
Summary: French mathematician. Founder of the modern theory of numbers. Together with Descartes, leading mathematicians of the first half of the 17th century. Discovered independently the fundamental principle of analytic geometry. Methods for finding tangents to curves and their maximum and minimum points. Through his correspondence with Blaise Pascal, a co-founder of the theory of probability.

The Galileo Project

WIKI

20. NAME

Biography in Dictionary of Scientific Biography
Encyclopaedia Britannica (also: Academic Edition, requires campus password)

MACTUTOR. NAME
Born:
Died:
Summary:

BRITANNICA. NAME
Born:
Died:
also
Summary:

WIKI. INFO
Summary:

STANFORD. INFO
Summary: