By Henri Cohen

The primary topic of this e-book is the answer of Diophantine equations, i.e., equations or platforms of polynomial equations which has to be solved in integers, rational numbers or extra usually in algebraic numbers. This topic, particularly, is the important motivation for the trendy idea of mathematics algebraic geometry. during this textual content, this can be thought of via 3 of its most elementary elements. The publication includes greater than 350 routines and the textual content is essentially self-contained. even more subtle suggestions were dropped at endure just about Diophantine equations, and consequently, the writer has integrated 5 appendices on those techniques.

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