Get An Introduction to Diophantine Equations PDF

By Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

ISBN-10: 0817645489

ISBN-13: 9780817645489

This problem-solving booklet is an advent to the research of Diophantine equations, a category of equations within which in basic terms integer suggestions are allowed. the fabric is geared up in components: half I introduces the reader to effortless tools valuable in fixing Diophantine equations, equivalent to the decomposition strategy, inequalities, the parametric procedure, modular mathematics, mathematical induction, Fermat's approach to endless descent, and the tactic of quadratic fields; half II comprises entire strategies to all routines partly I. The presentation gains a few classical Diophantine equations, together with linear, Pythagorean, and a few greater measure equations, in addition to exponential Diophantine equations. the various chosen workouts and difficulties are unique or are offered with unique options. An creation to Diophantine Equations: A Problem-Based method is meant for undergraduates, complex 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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An Introduction to Diophantine Equations by Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

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