A First Look at Differential Algebra

作者:Hubbard John H*; Lundell Benjamin E
来源:American Mathematical Monthly, 2011, 118(3): 245-261.
DOI:10.4169/amer.math.monthly.118.03.245

摘要

This article is an introduction to the common algebraic methods used to study both solutions to polynomial equations and solutions to differential equations: Galois theory and differential Galois theory. We develop both theories simultaneously by studying the solutions to the polynomial equation x(5) - 4x(2) - 2 = 0 and the solutions to the differential equation u' = t - u(2).

  • 出版日期2011-3