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.  


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