The Fundamental Theorem of Algebra
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|B. Fine, Fairfield Univ., CT; G. Rosenberger, Univ. of Dortmund, Germany|
|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.|
|Math Topics:||Modern Algebra, Complex Analysis, Algebraic Number Theory, Algebraic Topology|
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