Field Extensions

C. M. Linton

Chapter 5 in Quintic Equations and How to Solve Them, 2025, pp 55-65 from Springer

Abstract: Abstract In Sect. 3.1 we introduced the concept of a field, a set of numbers which allows us to perform the operations of addition, subtraction, multiplication and division (except by zero) without leaving the set. When finding the roots of polynomials we need to extract roots: square roots, cube roots and so on, and these operations are not included in the definition of a field.

Date: 2025
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DOI: 10.1007/978-3-032-01658-4_5

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