ISBN10: 0387946578, ISBN13: 9780387946573, [publisher: Springer] Hardcover
[Castle Donington, DERBY, United Kingdom] [Publication Year: 1997]
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Springer 6/20/1997 1997 ed. Hardback or Cased Book New in New jacket The Fundamental Theorem of Algebra (Hardback or Cased Book)

ISBN10: 0387946578, ISBN13: 9780387946573, [publisher: Springer 1997-07-15] Hardcover
[Wallingford, United Kingdom] [Publication Year: 1997]

ISBN10: 0387946578, ISBN13: 9780387946573, [publisher: Springer-Verlag New York Inc., United States, New York, NY] Softcover 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.
[Goring-By-Sea, WS, United Kingdom] [Publication Year: 1997]

Springer 1997 1997 ed. hardcover Good Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!

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ISBN10: 0387946578, ISBN13: 9780387946573, [publisher: Springer] Hardcover
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ISBN10: 0387946578, ISBN13: 9780387946573, [publisher: Springer] Hardcover
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ISBN10: 0387946578, ISBN13: 9780387946573, [publisher: Springer New York] Hardcover New Book. Shipped from UK. Established seller since 2000.
[Fairford, GLOS, United Kingdom] [Publication Year: 1997]

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ISBN10: 0387946578, ISBN13: 9780387946573, [publisher: Springer Nature Singapore Jun 1997] Hardcover Neuware - The Fundamental Theorem of Algebra states that any complex polynomial must have a complex root. This basic result, whose first accepted proof was given by Gauss, lies really at the intersection of the theory of numbers and the theory of equations, and arises also in many other areas of mathematics. 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. 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 lends itself to generalizations, which in turn, lead to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second prooof 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 trascendence 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. It is ideal for a ...
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ISBN10: 0387946578, ISBN13: 9780387946573, [publisher: Springer Nature Singapore Jun 1997] Hardcover Neuware - The Fundamental Theorem of Algebra states that any complex polynomial must have a complex root. This basic result, whose first accepted proof was given by Gauss, lies really at the intersection of the theory of numbers and the theory of equations, and arises also in many other areas of mathematics. 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. 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 lends itself to generalizations, which in turn, lead to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second prooof 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 trascendence 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. It is ideal for a ...
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ISBN10: 0387946578, ISBN13: 9780387946573, [publisher: Springer New York] Hardcover 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 pro.
[Greven, Germany] [Publication Year: 1997]
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New York, NY Springer 1997 1997 ed. Hard cover New. Sewn binding. Cloth over boards. 210 p. Contains: Unspecified. Undergraduate Texts in Mathematics.