By Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

ISBN-10: 0817645489

ISBN-13: 9780817645489

This problem-solving publication is an advent to the examine of Diophantine equations, a category of equations during which in basic terms integer recommendations are allowed. the fabric is geared up in elements: half I introduces the reader to common equipment worthwhile in fixing Diophantine equations, comparable to the decomposition procedure, inequalities, the parametric technique, modular mathematics, mathematical induction, Fermat's approach to endless descent, and the strategy of quadratic fields; half II comprises whole strategies to all routines partly I. The presentation positive aspects a few classical Diophantine equations, together with linear, Pythagorean, and a few greater measure equations, in addition to exponential Diophantine equations. a number of the chosen routines and difficulties are unique or are offered with unique ideas. An creation to Diophantine Equations: A Problem-Based procedure is meant for undergraduates, complicated highschool scholars and lecturers, mathematical contest contributors — together with Olympiad and Putnam rivals — in addition to readers drawn to crucial arithmetic. The paintings uniquely provides 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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