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Diophantine Equations (Pure & Applied Mathematics)
Diophantine Equations (Pure & Applied Mathematics)
Date: 11 April 2011, 19:59

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Most books on number theory treat with more or less detail various aspects of Diophantine analysis, a subject which can be described briefly by saying that a great part of it is concerned with the discussion of the rational or integer solutions of a polynomial equation f(xl9 x2..., xn) = 0, with integer coefficients. It is well known that for many centuries, no other topic has engaged the attention of so many mathematicians, both professional and amateur, or has resulted in so many published papers. Nevertheless, apart from reports or surveys, there are very few books dealing only with Diophantine equations, and sometimes these are either very elementary or deal only with special aspects of the subject. It seems therefore desirable to produce a more representative account, and an attempt is now made to do this. I have tried to preserve the old spirit and traditions of Diophantine analysis, and to these I attach great importance.

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