Diophantine Analysis: How to solve diophantine equations? Death of Diophantus 7. Summary 8. Introduction Who is Diophantus? What is Diophantus famous for? An example of a problem from the Arithmetica sometimes called his epitaph 'Here lies Diophantus,' the wonder behold. Source: Medium Diophantine Analysis: How to solve diophantine equations? A Diophantine Analysis is conducted with the following steps: Is it possible to get a solution? Is it possible to find solutions just by inspection? Are the number of solutions finite or infinite?
Is it possible to obtain all the solutions? Death of Diophantus Diophantus is said to have died between AD and Summary This article talks about one of the greatest mathematicians to have graced the surface of the planet. About Cuemath Cuemath, a student-friendly mathematics and coding platform, conducts regular Online Live Classes for academics and skill-development, and their Mental Math App, on both iOS and Android , is a one-stop solution for kids to develop multiple skills.
Understand the Cuemath Fee structure and sign up for a free trial. FAQs What is Diophantus famous for? Where was Diophantus from? He lived in Alexandria, Egypt. He is described as Greek or Egyptian. Who wrote Arithmetica? Diophantus of Alexandria wrote a series of books titles Arithmetica.
When did Diophantus die? Somewhere around AD or Luca Pacioli was a teacher of mathematics, not a mathematician. His failure to produce any original work has been used by many as a basis for accusations of plagiarism and this has lasted from soon after his death to the present day.
Those guilty of copying the works of others, and there are examples in this particular field, either make no references at all or quote other writers only to damn their work and praise their own.
Pacioli does neither. He praises the work of others, gives particulars of the authorities he follows or merely refers to the particular method or system he is setting down. Turning the pages Take a look at our digitised copy of the "De scripturis" section from one of the two editions of Summa de arithmetica in the ICAEW collection.
View the catalogue record for this book. Quick Info Born about probably Alexandria, Egypt Died about probably Alexandria, Egypt Summary Diophantus was a Greek mathematician sometimes known as 'the father of algebra' who is best known for his Arithmetica. This had an enormous influence on the development of number theory.
View one larger picture. Biography Diophantus , often known as the 'father of algebra', is best known for his Arithmetica , a work on the solution of algebraic equations and on the theory of numbers. However, essentially nothing is known of his life and there has been much debate regarding the date at which he lived. There are a few limits which can be put on the dates of Diophantus's life. On the one hand Diophantus quotes the definition of a polygonal number from the work of Hypsicles so he must have written this later than BC.
On the other hand Theon of Alexandria, the father of Hypatia , quotes one of Diophantus's definitions so this means that Diophantus wrote no later than AD. However this leaves a span of years, so we have not narrowed down Diophantus's dates a great deal by these pieces of information.
There is another piece of information which was accepted for many years as giving fairly accurate dates. Heath [ 3 ] quotes from a letter by Michael Psellus who lived in the last half of the 11 th century. Psellus wrote Heath's translation in [ 3 ] :- Diophantus dealt with [ Egyptian arithmetic ] more accurately, but the very learned Anatolius collected the most essential parts of the doctrine as stated by Diophantus in a different way and in the most succinct form, dedicating his work to Diophantus.
Psellus also describes in this letter the fact that Diophantus gave different names to powers of the unknown to those given by the Egyptians. This letter was first published by Paul Tannery in [ 7 ] and in that work he comments that he believes that Psellus is quoting from a commentary on Diophantus which is now lost and was probably written by Hypatia.
However, the quote given above has been used to date Diophantus using the theory that the Anatolius referred to here is the bishop of Laodicea who was a writer and teacher of mathematics and lived in the third century.
From this it was deduced that Diophantus wrote around AD and the dates we have given for him are based on this argument. Knorr in [ 16 ] criticises this interpretation, however:- But one immediately suspects something is amiss: it seems peculiar that someone would compile an abridgement of another man's work and then dedicate it to him, while the qualification "in a different way", in itself vacuous, ought to be redundant, in view of the terms "most essential" and "most succinct".
Knorr gives a different translation of the same passage showing how difficult the study of Greek mathematics is for anyone who is not an expert in classical Greek which has a remarkably different meaning:- Diophantus dealt with [ Egyptian arithmetic ] more accurately, but the very learned Anatolius, having collected the most essential parts of that man's doctrine, to a different Diophantus most succinctly addressed it.
The conclusion of Knorr as to Diophantus's dates is [ 16 ]
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