Galois Theory

Name: Galois Theory
Brand: Taylor & Francis, Chapman and Hall/CRC
SKU: 67459759
Price: 71.60 EUR
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(Sprache: Englisch)

Autor: Ian Nicholas Stewart

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Produktinformationen zu „Galois Theory “

This bestseller continues to deliver a rigorous yet engaging treatment of the subject while keeping pace with current educational requirements. This fourth edition replaces the topological proof of the fundamental theorem of algebra with a simple and plausible result from point-set topology. It revises the chapter on ruler-and-compass constructions and includes a new section on constructions using an angle-trisector. In addition, a new chapter takes a retrospective look at what Galois actually did compared to what many assume he did.

Inhaltsverzeichnis zu „Galois Theory “

Classical Algebra. The Fundamental Theorem of Algebra. Factorisation of Polynomials Field Extensions. Simple Extensions. The Degree of an Extension. Ruler-and-Compass Constructions. The Idea behind Galois Theory. Normality and Separability. Counting Principles. Field Automorphisms. The Galois Correspondence. A Worked Example. Solubility and Simplicity. Solution by Radicals. Abstract Rings and Fields. Abstract Field Extensions. The General Polynomial Equation. Finite Fields. Regular Polygons. Circle Division. Calculating Galois Groups. Algebraically Closed Fields. Transcendental Numbers. What Did Galois Do or Know? References. Index.

Autoren-Porträt von Ian Nicholas Stewart

Ian Stewart is an emeritus professor of mathematics at the University of Warwick and a fellow of the Royal Society. Dr. Stewart has been a recipient of many honors, including the Royal Society's Faraday Medal, the IMA Gold Medal, the AAAS Public Understanding of Science and Technology Award, and the LMS/IMA Zeeman Medal. He has published more than 180 scientific papers and numerous books, including several bestsellers co-authored with Terry Pratchett and Jack Cohen that combine fantasy with nonfiction.

Bibliographische Angaben

Autor: Ian Nicholas Stewart
2015, 4. Aufl., 344 Seiten, 29 Schwarz-Weiß-Abbildungen, 29 Abbildungen, Maße: 15,1 x 23,5 cm, Kartoniert (TB), Englisch
Verlag: Taylor & Francis
ISBN-10: 1482245825
ISBN-13: 9781482245820
Erscheinungsdatum: 16.06.2015

Sprache:

Englisch

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