Download e-book for iPad: An Introduction to Diophantine Equations by Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

By Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

ISBN-10: 0817645489

ISBN-13: 9780817645489

This problem-solving publication is an creation to the research of Diophantine equations, a category of equations during which in basic terms integer suggestions are allowed. the cloth is equipped in elements: half I introduces the reader to uncomplicated equipment helpful in fixing Diophantine equations, resembling the decomposition technique, inequalities, the parametric technique, modular mathematics, mathematical induction, Fermat's approach to limitless descent, and the tactic of quadratic fields; half II comprises whole ideas to all workouts partially I. The presentation good points 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 creation to Diophantine Equations: A Problem-Based method is meant for undergraduates, complex highschool scholars and lecturers, mathematical contest members — together with Olympiad and Putnam opponents — in addition to readers attracted 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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