An Introduction to Diophantine Equations: A Problem-Based Approach by Titu AndreescuEnglish | PDF | 2010 | 350 Pages | ISBN : 0817645489 | 2.6 MB
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 material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the decomposition method, inequalities, the parametric method, modular arithmetic, mathematical induction, Fermat's method of infinite descent, and the method of quadratic fields; Part II contains complete solutions to all exercises in Part I.