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This book begins with a sketch, in Chapters 1 and 2, of the study of alge braic equations in ancient times (before the year 1600). After introducing symmetric polynomials in Chapter 3, we consider algebraic extensions of fi nite degree contained in the field.
Field Theory and its Classical Problems lets Galois theory unfold in a natural way, beginning with the geometric construction problems of antiquity, continuing through the constructibility of regular n-gons and the properties of roots of unity, and then on to the solvability of …
Numerical Methods for Partial Differential Equations.
