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The Fundamental Theorem of Algebra

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Author:B. Fine, Fairfield Univ., CT; G. Rosenberger, Univ. of Dortmund, Germany
Description: The Fundamental Theorem of Algebra states that any complex polynomial must have a complex root. This basic result, whose first accepted proof was given by Gauss, lies at the intersection of the theory of numbers and the theory of equations, and arises also in many other areas of mathematics. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology.

Levels: College
Languages: English
Resource Types: Textbooks
Math Topics: Modern Algebra, Complex Analysis, Algebraic Number Theory, Algebraic Topology

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