id: 02318151
dt: b
an: 1997e.03247
au: Fine, Benjamin; Rosenberger, Gerhard
ti: The fundamental theorem of algebra.
so: Springer, New York, NY (ISBN 0-387-94657-8). 220 p. (1997).
py: 1997
pu: Springer, New York, NY
la: EN
cc: H10
ut:
ci:
li:
ab: The purpose of this book is to examine three pairs of proofs of the theorem
from three different areas of mathematics: abstract algebra, complex
analysis and topology. The first proof in each pair is fairly straight
forward and depends mostly on elementary mathematics. To arrive at each
of the proofs, the general theory is developed to understand the proof.
In addition to the proofs, many applications, such as the insolvability
of the quintic and the transcendence of e and Pi are presented. The
book is intended for junior/senior level undergraduate mathematics
students.
rv: