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

By Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

ISBN-10: 0817645489

ISBN-13: 9780817645489

This problem-solving booklet is an advent to the learn of Diophantine equations, a category of equations within which basically integer recommendations are allowed. the fabric is equipped in components: half I introduces the reader to simple tools invaluable in fixing Diophantine equations, akin to the decomposition process, inequalities, the parametric strategy, modular mathematics, mathematical induction, Fermat's approach to countless descent, and the tactic of quadratic fields; half II comprises entire recommendations to all workouts partly I. The presentation good points a few classical Diophantine equations, together with linear, Pythagorean, and a few greater measure equations, in addition to exponential Diophantine equations. some of the chosen routines and difficulties are unique or are awarded with unique ideas. An creation to Diophantine Equations: A Problem-Based technique is meant for undergraduates, complicated highschool scholars and academics, mathematical contest contributors — together with Olympiad and Putnam rivals — in addition to readers attracted to crucial arithmetic. The paintings uniquely offers unconventional and non-routine examples, rules, and techniques.

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


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