The Fundamental Theorem of Algebra (Paperback, Softcover reprint of the original 1st ed. 1997)

The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines 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 straightforward and depends only on what could be considered elementary mathematics. However, each of these first proofs leads to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second proof in each pair. To arrive at each of the proofs, enough of the general theory of each relevant area is developed to understand the proof. In addition to the proofs and techniques themselves, many applications such as the insolvability of the quintic and the transcendence of e and pi are presented. Finally, a series of appendices give six additional proofs including a version of Gauss'original first proof. The book is intended for junior/senior level undergraduate mathematics students or first year graduate students, and would make an ideal "capstone" course in mathematics.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Undergraduate Texts in Mathematics
Release date:	March 2013
First published:	1997
Authors:	Benjamin Fine • Gerhard Rosenberger
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	210
Edition:	Softcover reprint of the original 1st ed. 1997
ISBN-13:	978-1-4612-7343-1
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Topology > General
LSN:	1-4612-7343-9
Barcode:	9781461273431

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!