Hiroshi Yuki: Math Girls 5 | Taschenbuch

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Cover: 9781939326461 | Math Girls 5 | Galois Theory | Hiroshi Yuki | Taschenbuch | Math Girls

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Sprache: Englisch

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Beschreibung

This fifth entry in the highly acclaimed Math Girls series focuses on the mathematics of Évariste Galois, the nineteenth-century wunderkind who revolutionized mathematics with work he performed while still a teenager. Mathematicians before him had discovered solutions to general second-, third-, and fourth-degree equations, but a similar "quintic formula" that would allow knowing the solutions to any fifth-degree equation had eluded mathematicians for centuries. Through his ingenious approach of bridging the worlds of groups and fields, young Galois not only showed that such a formula was impossible, he newly developed group theory and the branch of mathematics that today bears his name. Join Miruka and friends to see how Galois developed his theory, along with related topics such as geometric constructions and the angle trisection problem, derivation of the cubic formula, reducible and irreducible polynomials, group theory and field theory, symmetric polynomials, roots of unity, sets and cosets, cyclotomic polynomials, vector spaces, extension fields, and symmetric groups. The book concludes with a tour through Galois's first paper, in which he describes for the first time the necessary and sufficient conditions for a polynomial to be algebraically solved using radicals. Math Girls 5: Galois Theory has something for anyone interested in mathematics, from advanced high school to college students and educators.

Über den Autor

Best-selling author Hiroshi Yuki has written over thirty books on mathematics, programming, and cryptography in Japan. His English-translated works include the "Math Girls" and "Math Girls Talk About..." series. He lives in Tokyo.

Erscheinungsjahr:	2021
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Seiten:	436
Reihe:	Math Girls
ISBN-13:	9781939326461
ISBN-10:	193932646X
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Yuki, Hiroshi
Hersteller:	Bento Books, Inc. Math Girls
Maße:	216 x 140 x 26 mm
Von/Mit:	Hiroshi Yuki
Erscheinungsdatum:	15.11.2021
Gewicht:	0,611 kg

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