By Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

ISBN-10: 0817645489

ISBN-13: 9780817645489

This problem-solving publication is an creation to the learn of Diophantine equations, a category of equations within which simply integer suggestions are allowed. the fabric is prepared in elements: half I introduces the reader to trouble-free equipment helpful in fixing Diophantine equations, resembling the decomposition approach, inequalities, the parametric procedure, modular mathematics, mathematical induction, Fermat's approach to endless descent, and the strategy of quadratic fields; half II includes whole options 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 recommendations. An advent to Diophantine Equations: A Problem-Based strategy is meant for undergraduates, complicated highschool scholars and lecturers, mathematical contest members — together with Olympiad and Putnam rivals — in addition to readers drawn 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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