Abstract
The proof given in the last section for the Fundamental Theorem of Algebra depended only on the calculus of two-variable real-valued functions. However, the proof suggests a more general result, called Liouville’s theorem, which we will develop. From this result the Fundamental Theorem of Algebra will then follow as a simple consequence.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Fine, B., Rosenberger, G. (1997). Complex Analysis and Analytic Functions. In: The Fundamental Theorem of Algebra. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1928-6_4
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1928-6_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7343-1
Online ISBN: 978-1-4612-1928-6
eBook Packages: Springer Book Archive