Albion College

Mathematics and Computer Science

Mathematics and Computer Science

COLLOQUIUM

The Fundamental Theorem of Algebra: History, Proofs, and Applications

Ryan Higginbottom

Visiting Assistant Professor

Department of Mathematics and Computer Science

Kalamazoo College

Visiting Assistant Professor

Department of Mathematics and Computer Science

Kalamazoo College

The Fundamental Theorem of Algebra dates back to the mid-17th century, and it can be stated quite easily: every polynomial with complex coefficients has a complex number as a root. There are numerous modern proofs of this theorem, drawing on such diverse fields as complex analysis, abstract algebra, and topology. In this talk, we will discuss at least two of these proofs, and we will touch on some of the theoretical applications. This presentation should be accessible to anyone who has completed Calculus I.