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Lectures on the Icosahedron and the Solution of the Fifth Degree
Taschenbuch von Felix Klein
Sprache: Englisch

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Beschreibung
In this classic of mathematical literature, first published in 1884, Felix Klein elegantly demonstrates how the rotation of icosahedron can be used to solve complex quintic equations. Divided into two parts-"Theory of the Icosahedron" and "The Theory of Equations of the Fifth Degree"-The Icosahedron covers:

. the regular solids and the theory of groups
. introduction of (x + iy)
. statement and discussion of the fundamental problem, according to the theory of functions
. the algebraical character of the fundamental problem
. general theorems and survey of the subject
. the historical development of the theory of equations of the fifth degree
. introduction of geometrical material
. the canonical equations of the fifth degree
. the problem of the A's and the Jacobian equations of the sixth degree
. the general equation of the fifth degree

Complete with detailed equations and instructive material, The Icosahedron will be valued by experts in higher mathematics and students of algebra alike.

German mathematician FELIX KLEIN (1849-1925) specialized in function theory, group theory, and non-Euclidean geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis; Elementary Mathematics from an Advanced Standpoint: Geometry; and Famous Problems of Elementary Geometry.
In this classic of mathematical literature, first published in 1884, Felix Klein elegantly demonstrates how the rotation of icosahedron can be used to solve complex quintic equations. Divided into two parts-"Theory of the Icosahedron" and "The Theory of Equations of the Fifth Degree"-The Icosahedron covers:

. the regular solids and the theory of groups
. introduction of (x + iy)
. statement and discussion of the fundamental problem, according to the theory of functions
. the algebraical character of the fundamental problem
. general theorems and survey of the subject
. the historical development of the theory of equations of the fifth degree
. introduction of geometrical material
. the canonical equations of the fifth degree
. the problem of the A's and the Jacobian equations of the sixth degree
. the general equation of the fifth degree

Complete with detailed equations and instructive material, The Icosahedron will be valued by experts in higher mathematics and students of algebra alike.

German mathematician FELIX KLEIN (1849-1925) specialized in function theory, group theory, and non-Euclidean geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis; Elementary Mathematics from an Advanced Standpoint: Geometry; and Famous Problems of Elementary Geometry.
Details
Erscheinungsjahr: 2007
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Seiten: 308
ISBN-13: 9781602063068
ISBN-10: 1602063060
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Klein, Felix
Hersteller: Cosimo Classics
Maße: 216 x 140 x 18 mm
Von/Mit: Felix Klein
Erscheinungsdatum: 01.04.2007
Gewicht: 0,437 kg
preigu-id: 120633301
Details
Erscheinungsjahr: 2007
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Seiten: 308
ISBN-13: 9781602063068
ISBN-10: 1602063060
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Klein, Felix
Hersteller: Cosimo Classics
Maße: 216 x 140 x 18 mm
Von/Mit: Felix Klein
Erscheinungsdatum: 01.04.2007
Gewicht: 0,437 kg
preigu-id: 120633301
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