Constructive Aspects of the Fundamental Theorem of Algebra
Author: Bruno Dejon
Publisher: John Wiley & Sons
Published: 1969
Total Pages: 360
ISBN-13:
DOWNLOAD EBOOKRead and Download eBook Full
Author: Bruno Dejon
Publisher: John Wiley & Sons
Published: 1969
Total Pages: 360
ISBN-13:
DOWNLOAD EBOOKAuthor:
Publisher:
Published:
Total Pages:
ISBN-13:
DOWNLOAD EBOOKAuthor: Bruno Dejon
Publisher:
Published: 1969
Total Pages: 338
ISBN-13:
DOWNLOAD EBOOKAuthor: BR. DEJON
Publisher:
Published: 1969
Total Pages: 337
ISBN-13:
DOWNLOAD EBOOKAuthor: Bruno Dejon
Publisher:
Published: 1967
Total Pages: 337
ISBN-13:
DOWNLOAD EBOOKAuthor: Benjamin Fine
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 220
ISBN-13: 1461219280
DOWNLOAD EBOOKThe 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.
Author: John Jacob Kohfeld
Publisher:
Published: 1959
Total Pages: 114
ISBN-13:
DOWNLOAD EBOOKAuthor: Boris Abramovich Kushner
Publisher: American Mathematical Soc.
Published: 1984-12-31
Total Pages: 356
ISBN-13: 9780821898109
DOWNLOAD EBOOKThe basis of this book was a special course given by the author at the Mechanics-Mathematics Faculty of Moscow University. The material presumes almost no previous knowledge and is completely understandable to a reader who is in command of a standard course of mathematical analysis. There are an extensive bibliography and indexes which will be helpful to students.
Author: Harold M. Edwards
Publisher: Springer Nature
Published: 2022-09-29
Total Pages: 325
ISBN-13: 303098558X
DOWNLOAD EBOOKContents and treatment are fresh and very different from the standard treatments Presents a fully constructive version of what it means to do algebra The exposition is not only clear, it is friendly, philosophical, and considerate even to the most naive or inexperienced reader
Author: Stephen Smale
Publisher: World Scientific
Published: 2000
Total Pages: 670
ISBN-13: 9789810249939
DOWNLOAD EBOOKThis invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.