Differential Geometry and Mathematical Physics: Part I.

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Language: English

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Field extensions and Galois theory: separable and inseparable extensions, norm and trace, algebraic and transcendental extensions, transcendence basis, algebraic closure, fundamental theorem of Galois theory, solvability of equations, cyclotomic extensions and explicit computations of Galois groups. We even know that there are many more of them than there are of rational relations. For it is not enough to narrate, the operators of this movement must be made to appear.

Pages: 762

Publisher: Springer; 2013 edition (November 10, 2012)

ISBN: 9400753446

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