The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics) pdf epub mobi txt 電子書下載2025

簡體網頁||繁體網頁

☆☆☆☆☆

出版者:Springer

作者:Benjamin Fine

出品人:

頁數:221

译者:

出版時間:1997-06-20

價格:USD 74.95

裝幀:Hardcover

isbn號碼:9780387946573

叢書系列:Undergraduate Texts in Mathematics

圖書標籤:

數學
代數
Algebra
統一
物理
數學-專
拓撲
復分析

下載連結在頁面底部

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 複製連結

想要找書就要到本本書屋

onlinetoolsland.com

立刻按 ctrl+D收藏本頁

你會得到大驚喜!!

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.