An Introduction to Diophantine Equations - download pdf or read online

By Titu Andreescu,Dorin Andrica,Ion Cucurezeanu

This problem-solving booklet is an advent to the examine of Diophantine equations, a category of equations within which in simple terms integer options are allowed. the fabric is equipped in elements: half I introduces the reader to easy equipment helpful in fixing Diophantine equations, reminiscent of the decomposition strategy, inequalities, the parametric approach, modular mathematics, mathematical induction, Fermat's approach to limitless descent, and the tactic of quadratic fields; half II includes whole ideas to all routines partly I. The presentation positive aspects a few classical Diophantine equations, together with linear, Pythagorean, and a few larger measure equations, in addition to exponential Diophantine equations. the various chosen routines and difficulties are unique or are provided with unique recommendations. An advent to Diophantine Equations: A Problem-Based technique is meant for undergraduates, complex highschool scholars and academics, mathematical contest individuals — together with Olympiad and Putnam opponents — in addition to readers drawn 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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