Field Theory
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This book, Field Theory, is the collection of the lecture notes describing abstract concepts on field extensions including algebraic and transcendental field extensions, splitting field and algebraic closure, the fundamental theorem of Galois theory, separable and normal extension, and finite fields. It provides definitions, examples, theorems, and proofs of the abstract algebraic concepts of field on the aforementioned topics in simple language. The proofs of such abstraction given in this books are written from the perspective of students as much as possible.
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Beschrijving
(1)
This book, Field Theory, is the collection of the lecture notes describing abstract concepts on field extensions including algebraic and transcendental field extensions, splitting field and algebraic closure, the fundamental theorem of Galois theory, separable and normal extension, and finite fields. It provides definitions, examples, theorems, and proofs of the abstract algebraic concepts of field on the aforementioned topics in simple language. The proofs of such abstraction given in this books are written from the perspective of students as much as possible.
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