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 e-book is an creation to the examine of Diophantine equations, a category of equations during which in basic terms integer suggestions are allowed. the fabric is geared up in elements: half I introduces the reader to hassle-free equipment beneficial in fixing Diophantine equations, reminiscent of the decomposition technique, inequalities, the parametric process, modular mathematics, mathematical induction, Fermat's approach to limitless descent, and the tactic of quadratic fields; half II comprises entire recommendations to all workouts partly I. The presentation gains a few classical Diophantine equations, together with linear, Pythagorean, and a few larger measure equations, in addition to exponential Diophantine equations. some of the chosen routines and difficulties are unique or are awarded with unique suggestions. An creation to Diophantine Equations: A Problem-Based technique is meant for undergraduates, complex highschool scholars and lecturers, 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, rules, and techniques.

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

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Categories: Number Theory