Fundamental Theorem Of Algebra
Fine, Benjamin; Rosenberger, Gerhard
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Description for Fundamental Theorem Of Algebra
Hardback. The Fundamental Theorem of Algebra states that any complex polynomial must have a complex root. This title contains a series of appendices that give six additional proofs including a version of Gauss' original first proof. It is intended for junior/senior level undergraduate mathematics students or first year graduate students. Series: Undergraduate Texts in Mathematics. Num Pages: 221 pages, biography. BIC Classification: PBC; PBF. Category: (UU) Undergraduate. Dimension: 235 x 155 x 14. Weight in Grams: 509.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
1997
Publisher
Springer-Verlag New York Inc. United States
Number of pages
221
Condition
New
Series
Undergraduate Texts in Mathematics
Number of Pages
210
Place of Publication
New York, NY, United States
ISBN
9780387946573
SKU
V9780387946573
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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