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Topic: Diophantus (general)

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	Encyclopedia :: encyclopedia : Diophantus (Site not responding. Last check: 2007-10-02)
		Diophantus of Alexandria - Διόφαντος ο Αλεξανδρεύς - (circa 200/214 – circa 284/298) was a Greek mathematician.
		Diophantus is sometimes known as the "father of Algebra".
		Diophantus of Alexandria by J. O'Connor and E. Robertson
	www.hallencyclopedia.com /Diophantus (185 words)

	CATHOLIC ENCYCLOPEDIA: Saint John Damascene
		But the Seventh General Council of Nicea (787) made ample amends for the insults of his enemies, and Theophanes, writing in 813, tells us that he was surnamed Chrysorrhoas (golden stream) by his friends on account of his oratorical gifts.
		In the pontificate of Leo XIII he was enrolled among the doctors of the Church.
		In particular, he draws generously from Gregory of Nazianzus, whose works he seems to have absorbed, from Basil, Gregory of Nyssa, Cyril of Alexandria, Leo the Great, Athanasius, John Chrysostum, and Epiphanius.
	www.newadvent.org /cathen/08459b.htm (2954 words)

	History of Mathematics [encyclopedia] (Site not responding. Last check: 2007-10-02)
		Later, the idea that the cosmos is intrinsically mathematical, an influential notion found in the work of Plato, was retrospectively attributed to the semi-mythical figure of Pythagoras.
		Mathematical activity in France (Gaspard Monge, Pierre Simon Laplace, Augustin Louis Cauchy), and subsequently in Germany (Carl Gauss, Carl Jacobi, Peter Dirichlet, Bernhard Riemann) was strongly developed and professionalized, in both research and teaching directions.
		Topology has, under the considerable influence of Henri Poincaré, reached new heights of geometrical generality and unifying power, while algebra too has become even more general in its exploration of structural depth, as in the work of Emmy Noether.
	www.kosmoi.com /Science/Mathematics/History (2645 words)

	Science Timeline
		About 530 bce, Pythagoras discovered the dependence of musical intervals on the arithmetical ratios of the lengths of string at the same tension, 2:1 giving an octave, 3:2 the fifth, and 4:3 the fourth.
		He is also credited with a general formula for finding two square numbers the sum of which is also a square, namely (if m is any odd number), m
		About 250, Diophantus pioneered in solving certain indeterminate algebraic equations, i.e., an equation in which the variables can take on integer values and has an infinite but denumerable set of solutions: e.g., x+2y=3.
	www.sciencetimeline.net /prehistory.htm (6591 words)

	AMU CHMA NEWSLETTER #20 (8/25/98)
		Presents the works of Diophantus of Alexandria, focusing on Diophantus' general methods of obtaining rational solutions of indeterminate equations of the second and third order.
		The second part of the book considers the evolution of the theory of Diophantine equations from the Renaissance to the middle of the 20th century.
		Describes the use of the rule of false positions in ancient Egypt, in the work of later Alexandrian mathematicians, like Diophantus (c.
	www.math.buffalo.edu /mad/AMU/amu_chma_20.html (2428 words)

	Mathematics Archives - Bibliographies
		General Definitions, Brief Historical Sketch, Philosophical Significance, Bibliography
		The Art of Algebra from al-Khwarizmi to ViÈte: A Study in the Natural Selection of Ideas
		al-Khwarizmi, Diophantus of Alexandria, Cardano, Bombelli, Viète, abu-Kamil, al-Karaji, Fibonacci, Maestro Benedetto, Bibliography, History
	archives.math.utk.edu /cgi-bin/bibliography.html (912 words)

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