By Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

This problem-solving ebook is an advent to the learn of Diophantine equations, a category of equations within which purely integer recommendations are allowed. the cloth is equipped in components: half I introduces the reader to simple tools precious in fixing Diophantine equations, reminiscent of the decomposition strategy, inequalities, the parametric technique, modular mathematics, mathematical induction, Fermat's approach to countless descent, and the strategy of quadratic fields; half II comprises whole strategies to all workouts partly I. The presentation gains a few classical Diophantine equations, together with linear, Pythagorean, and a few better measure equations, in addition to exponential Diophantine equations. some of the chosen workouts and difficulties are unique or are offered with unique ideas. An creation to Diophantine Equations: A Problem-Based method is meant for undergraduates, complicated highschool scholars and academics, mathematical contest contributors — together with Olympiad and Putnam rivals — in addition to readers attracted to crucial arithmetic. The paintings uniquely offers unconventional and non-routine examples, principles, and techniques.

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

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