The author had initiated a revision and translation of "Classical Diophantine Equations" prior to his death. Given the rapid advances in transcendence theory an

This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presen

"This book by a leading researcher and masterly expositor of the subject studies diophantine approximations to algebraic numbers and their applications to dioph

These lecture notes originate from a course delivered at the Scuola Normale in Pisa in 2006. Generally speaking, the prerequisites do not go beyond basic mathem

This text treats the classical theory of quadratic diophantine equations and guides the reader through the last two decades of computational techniques and prog