By Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

This problem-solving booklet is an creation to the examine of Diophantine equations, a category of equations within which purely integer options are allowed. the cloth is prepared in elements: half I introduces the reader to uncomplicated tools invaluable in fixing Diophantine equations, corresponding to the decomposition procedure, inequalities, the parametric approach, modular mathematics, mathematical induction, Fermat's approach to limitless descent, and the strategy of quadratic fields; half II comprises entire recommendations to all workouts partially I. The presentation positive aspects a few classical Diophantine equations, together with linear, Pythagorean, and a few better measure equations, in addition to exponential Diophantine equations. the various chosen routines and difficulties are unique or are offered with unique strategies. An advent to Diophantine Equations: A Problem-Based method is meant for undergraduates, complex highschool scholars and lecturers, mathematical contest individuals — together with Olympiad and Putnam opponents — in addition to readers attracted to crucial arithmetic. The paintings uniquely offers unconventional and non-routine examples, rules, and techniques.

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An Introduction to Diophantine Equations by Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

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