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

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 in simple terms integer recommendations are allowed. the cloth is equipped in components: half I introduces the reader to common equipment beneficial in fixing Diophantine equations, corresponding to the decomposition strategy, inequalities, the parametric technique, modular mathematics, mathematical induction, Fermat's approach to limitless descent, and the strategy of quadratic fields; half II comprises entire suggestions to all routines partly I. The presentation good points a few classical Diophantine equations, together with linear, Pythagorean, and a few larger measure equations, in addition to exponential Diophantine equations. a few of the chosen workouts and difficulties are unique or are awarded with unique options. An advent to Diophantine Equations: A Problem-Based procedure is meant for undergraduates, complicated highschool scholars and academics, mathematical contest contributors — together with Olympiad and Putnam opponents — in addition to readers attracted to crucial arithmetic. The paintings uniquely offers unconventional and non-routine examples, principles, and techniques.

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