The Fundamental Theorem of Algebra

Name: The Fundamental Theorem of Algebra
SKU: 21282181
Price: 161.99 AUD
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Paperback / softback

Series:

Undergraduate Texts in Mathematics

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Description

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.

Release date Australia

October 30th, 2012

Author

Audience

Professional & Vocational

Edition

Softcover reprint of the original 1st ed. 1997

Illustrations

XI, 210 p.

Pages

210

Series

Undergraduate Texts in Mathematics

Dimensions

156x234x12

ISBN-13

9781461273431

Product ID

21282181

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