This tract units out to provide a few concept of the elemental strategies and of a few of the main extraordinary result of Diophantine approximation. a range of theorems with entire proofs are provided, and Cassels additionally presents an actual creation to every bankruptcy, and appendices detailing what's wanted from the geometry of numbers and linear algebra. a few chapters require wisdom of components of Lebesgue idea and algebraic quantity conception. it is a useful and concise textual content geared toward the final-year undergraduate and first-year graduate pupil.

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