## An Introduction to Diophantine Equations: A Problem-Based ApproachThis problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well as exponential Diophantine equations. Many of the selected exercises and problems are original or are presented with original solutions. An Introduction to Diophantine Equations: A Problem-Based Approach is intended for undergraduates, advanced high school students and teachers, mathematical contest participants — including Olympiad and Putnam competitors — as well as readers interested in essential mathematics. The work uniquely presents unconventional and non-routine examples, ideas, and techniques. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

An Introduction to Diophantine Equations: A Problem-Based Approach Titu Andreescu,Dorin Andrica,Ion Cucurezeanu No preview available - 2010 |

An Introduction to Diophantine Equations: A Problem-Based Approach Titu Andreescu,Dorin Andrica,Ion Cucurezeanu No preview available - 2011 |

### Common terms and phrases

common divisor congruent cube Diophantine Equations Diophantus divides divisible Dorin Andrica equation becomes equation is equivalent Example Exercises and Problems family of solutions Fermat's little theorem Find all pairs Find all triples FMID Variant form 4k fundamental solution Gaussian integers gcd(a gcd(a,b gcd(x given equation hence implies inequality infinitely many solutions integer greater integers the equation integral solutions mathematical induction nonnegative integers nonzero integers odd prime parity Pell's perfect square positive integers prime divisor prime factorization Proof Prove Pythagorean triple quadratic residue quadratic residue modulo relatively prime Remark Romanian Mathematical Olympiad satisfying the equation Second Solution sequence solution to equation solution to Pell’s solutions in integers solutions in positive solvable in integers solvable in positive Solve the equation Springer Science+Business Media Suppose system of equations Titu Andreescu triples x,y,z USA Mathematical Olympiad Write the equation