The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics) - Softcover
Book 94 of 170: Undergraduate Texts in Mathematics
Synopsis
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. It is ideal for a "capstone" course in mathematics for junior/senior level undergraduate mathematics students or first year graduate students. It could also be used as an alternative approach to an undergraduate abstract algebra course.
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The Fundamental Theorem of Algebra (eng)
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The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics)
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Fundamental Theorem of Algebra
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The Fundamental Theorem of Algebra
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Springer New York Okt 2012, 2012
ISBN 10: 1461273439
ISBN 13: 9781461273431
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 228 pp. Englisch. Seller Inventory # 9781461273431
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The Fundamental Theorem of Algebra
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The Fundamental Theorem of Algebra
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Springer-Verlag New York Inc., 2012
ISBN 10: 1461273439
ISBN 13: 9781461273431
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The Fundamental Theorem of Algebra
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The Fundamental Theorem of Algebra
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