13 Facts About Diophantus

1.

Diophantus of Alexandria was an Alexandrian mathematician, who was the author of a series of books called Arithmetica, many of which are now lost.

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2.

Diophantus coined the term pa??s?t?? to refer to an approximate equality.

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3.

Diophantus was the first Greek mathematician who recognized fractions as numbers; thus he allowed positive rational numbers for the coefficients and solutions.

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4.

Diophantus lived in Alexandria, Egypt, during the Roman era, probably from between AD 200 and 214 to 284 or 298.

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5.

Much of our knowledge of the life of Diophantus is derived from a 5th-century Greek anthology of number games and puzzles created by Metrodorus.

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6.

Diophantus wrote several other books besides Arithmetica, but very few of them have survived.

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7.

Diophantus himself refers to a work which consists of a collection of lemmas called The Porisms, but this book is entirely lost.

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8.

Diophantus is known to have written on polygonal numbers, a topic of great interest to Pythagoras and Pythagoreans.

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9.

Diophantus' work created a foundation for work on algebra and in fact much of advanced mathematics is based on algebra.

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10.

Diophantus was always satisfied with a rational solution and did not require a whole number which means he accepted fractions as solutions to his problems.

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11.

Diophantus made important advances in mathematical notation, becoming the first person known to use algebraic notation and symbolism.

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12.

Diophantus introduced an algebraic symbolism that used an abridged notation for frequently occurring operations, and an abbreviation for the unknown and for the powers of the unknown.

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13.

Some limitations of Diophantus' notation are that he only had notation for one unknown and, when problems involved more than a single unknown, Diophantus was reduced to expressing "first unknown", "second unknown", etc.

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