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The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics)
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简体网页||繁体网页
Benjamin Fine 作者
Springer
译者
1997-06-20 出版日期
221 页数
USD 74.95 价格
Hardcover
Undergraduate Texts in Mathematics 丛书系列
9780387946573 图书编码

The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics) 在线电子书 图书标签: 数学  代数  Algebra  统一  物理  数学-专  拓扑  复分析   

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The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


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The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics) 在线电子书 图书描述

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.

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