History of Mathematics
Archimedes of Syracuse (200 B.C.E.)
A Greek mathematician, physicist, inventor and astronomer who derived a range of formulas in Geometry including the area of a circle, the surface area and volume of sphere and the area under a parabola.
Liber Abaci (1202 C.E.)
A book filled with arithmetical and algebraic information which was collected during the travels of Leonardo of Pisa. This was one of the means by which the Hindu-Arabic System of Numeration was introduced into Western Europe.
The Elements by Euclid
A compilation of theorems, axioms in Algebra and postulate and theorems in Geometry. The author of this compilation gained the title "Father of Geometry."
Cuneiform Script
An ancient writing style that originated in the Mesopotamian region; wedge-shaped strokes that recorded financial information
Muhammad ibn Musa al-Khwarizmi (830 C.E.)
Arabic Algebra and Indian numerals came to Western Europe through the writings of ________________ ____ ______________ _____________.
Sexagesimal System
Base 60
Hieroglyphic script
Egyptian writing
Carl Friedrich Gauss
German mathematician, regarded for his contributions to number theory, geometry, probability theory, planetary, and the theory of functions. In 1799, he proved the Fundamental Theorem of Algebra.
John Venn
He introduced Venn Diagram in 1874. This became a useful tool in Set Theory.
Rene Descartes
He invented the Cartesian coordinate system, developed analytic geometry and laid the foundation for the development of calculus.
Sexagesimal System
In 2400 B.C.E., Babylonians in Mesopotamia used the ____________ ___________ (base 60).
cuneiform
Sumerians developed the earliest known writing system, a pictographic writing system known as __________ script.
John Napier
The 17th Century saw __________ ___________, and others greatly extend the power of mathematics as a calculatory science with his discovery of logarithms.
Mesopotamia, Egypt, and Babylonia
The Mathematics that we know in the modern world has its roots in ancient _____________, ______________ and ______________. Then it was developed in Greece, and simultaneously in China and in India.
decimal position system
The best known contribution of Hindu mathematics to modern mathematics was the ___________ ____________ ____________.
Sumerians (4000-3000 B.C.E.)
The first people to assign symbols to group of objects to represent numbers.
300 BC to 200 AD
The major Greek progress in mathematics was from _________ to _____________.
Leonhard Euler
The most important mathematician of the 18th Century was ___________ __________ who, in addition to work in a wide range of mathematical areas, started the Graph Theory, the Calculus of Variations and Differential Geometry.
Hindu mathematics
They introduced the number zero in mathematics. For the first time in human history, the concept of "nothing" was symbolized by a number.
Egyptians (3000BC)
They were the first people to develop a numerical system that was based on the number 10. Hieroglyphic Numerals developed in Egypt
Joseph Louie Lagrange
Toward the end of the 18th Century, an Italian mathematician, he began a rigorous theory of functions and of mechanics. He also played a key role in the creation of the Metric system of weights and measures.
Trigonometry of Hipparchus (140 B.C.E.)
Was a Greek astronomer, geographer, and mathematician considered as the founder of geometry.
775 C.E.
When was Hindu mathematical woks were translated into Arabic?
Blaise Pascal
__________ _______ laid the foundations of the Probability Theory together with Fermat. He invented the Pascaline, an early mechanical calculator, He is also known for the Pascal's Triangle, a tool for expanding a binomial (a+b)^n
Pierre de Fermat (1629 C.E.)
___________ ______ __________ was a French lawyer and a mathematician who is given credit for early developments that led to infinitesimal calculus. Together with Pascal, they began the mathematical study of probability.
Gottfried Leibniz (1684 C.E.)
___________ _____________ discovered infinitesimal calculus, along with Sir Isaac Newton.
Johannes Widmann (1489 C.E.)
____________ ___________ was a German mathematician. The + and - symbols first appeared in print in his book Mercantile Arithmetic published in Leipzig in 1489 in reference to surpluses and deficits in business problems.
Benoit Mandelbrot (1975 C.E.)
introduced the theory of fractals. He published The Fractal Geometry of Nature in 1982.
Andrew Wiles (1994 C.E.)
proved Fermat's Last Theorem
