Number Theory

An Introduction to Diophantine Equations - download pdf or read online

By Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

ISBN-10: 0817645489

ISBN-13: 9780817645489

This problem-solving ebook is an creation to the learn of Diophantine equations, a category of equations during which merely integer recommendations are allowed. the cloth is geared up in components: half I introduces the reader to straight forward equipment precious in fixing Diophantine equations, corresponding to the decomposition process, inequalities, the parametric procedure, modular mathematics, mathematical induction, Fermat's approach to limitless descent, and the tactic of quadratic fields; half II includes whole suggestions to all workouts partly I. The presentation positive factors a few classical Diophantine equations, together with linear, Pythagorean, and a few better measure equations, in addition to exponential Diophantine equations. some of the chosen routines and difficulties are unique or are provided with unique suggestions. An creation to Diophantine Equations: A Problem-Based strategy is meant for undergraduates, complicated highschool scholars and academics, mathematical contest individuals — together with Olympiad and Putnam opponents — 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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