Quadratic Irrationalities

Serge Lang
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Serge Lang: Yale University, Department of Mathematics

Chapter Chapter IV in Introduction to Diophantine Approximations, 1995, pp 50-68 from Springer

Abstract: Abstract An algebraic number α is a number which is a root of a polynomial equation: with rational coefficients a i , not all 0. Multiplying this equation by a common denominator for all a i , we see that α is also a root of a polynomial equation with integer coefficients, not all 0. In this chapter, we are concerned with a special case of algebraic numbers, namely those which satisfy a quadratic equation (i.e. those which are a root of a polynomial of degree 2).

Date: 1995
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DOI: 10.1007/978-1-4612-4220-8_4

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