Algebraic Numbers and Number Fields

David Hilbert

Chapter 1 in The Theory of Algebraic Number Fields, 1998, pp 3-7 from Springer

Abstract: Abstract A number α is called an algebraic number if it satisfies an equation of degree m of the form $${\alpha ^m} + {a_1}{\alpha ^{m - 1}} + {a_2}{\alpha ^{m - 2}} + \cdots + {a_m} = 0$$ where a 1, a 2,..., a m are rational numbers.

Date: 1998
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DOI: 10.1007/978-3-662-03545-0_1

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