Lectures On Ikosahedron

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Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree

Felix Klein
Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree Book PDF

Author : Felix Klein
Publisher : Courier Corporation
Page : 312 pages
File Size : 42,6 Mb
Release : 2003-01-01
Category : Mathematics
ISBN : 0486495280

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Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree by Felix Klein Pdf

This well-known work covers the solution of quintics in terms of the rotations of a regular icosahedron around the axes of its symmetry. Its two-part presentation begins with discussions of the theory of the icosahedron itself; regular solids and theory of groups; introductions of (x + iy); a statement and examination of the fundamental problem, with a view of its algebraic character; and general theorems and a survey of the subject. The second part explores the theory of equations of the fifth degree and their historical development; introduces geometrical material; and covers canonical equations of the fifth degree, the problem of A's and Jacobian equations of the sixth degree, and the general equation of the fifth degree. Second revised edition with additional corrections.

Lectures on the Icosahedron and the Solution of the Fifth Degree

Felix Klein
Lectures on the Icosahedron and the Solution of the Fifth Degree Book PDF

Author : Felix Klein
Publisher : Cosimo, Inc.
Page : 310 pages
File Size : 42,8 Mb
Release : 2007-01-01
Category : Mathematics
ISBN : 9781602063068

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Lectures on the Icosahedron and the Solution of the Fifth Degree by Felix Klein Pdf

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.

Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree

Felix 1849-1925 Klein
Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree Book PDF

Author : Felix 1849-1925 Klein
Publisher : Hassell Street Press
Page : 236 pages
File Size : 52,5 Mb
Release : 2021-09-09
Category : Electronic
ISBN : 1014234239

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Lectures on the Icosahedron and the Solution of Equations of the Fifth Degree by Felix 1849-1925 Klein Pdf

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Lectures on the Icosahedron and the Solution of the Fifth Degree

Felix Klein
Lectures on the Icosahedron and the Solution of the Fifth Degree Book PDF

Author : Felix Klein
Publisher : Cosimo, Inc.
Page : 308 pages
File Size : 45,9 Mb
Release : 2007-12-01
Category : Mathematics
ISBN : 9781602069893

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Lectures on the Icosahedron and the Solution of the Fifth Degree by Felix Klein Pdf

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.

Vorlesungen Uber Die Theorie For Elliptischen Modulfunctionen

Dr Robert Fricke
Vorlesungen Uber Die Theorie For Elliptischen Modulfunctionen Book PDF

Author : Dr Robert Fricke
Publisher : Legare Street Press
Page : 0 pages
File Size : 42,8 Mb
Release : 2023-07-18
Category : Electronic
ISBN : 101961658X

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Vorlesungen Uber Die Theorie For Elliptischen Modulfunctionen by Dr Robert Fricke Pdf

Fricke's groundbreaking study of the theory of elliptic modular functions is a must-read for anyone interested in the foundations of modern mathematics. With clear explanations and insightful examples, Fricke offers a comprehensive overview of this complex and fascinating subject. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Lectures on Mathematics

Felix Klein
Lectures on Mathematics Book PDF

Author : Felix Klein
Publisher : Unknown
Page : 136 pages
File Size : 55,5 Mb
Release : 1893
Category : Mathematics
ISBN : OSU:32435016929614

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Lectures on Mathematics by Felix Klein Pdf

Geometry of the Quintic

Jerry Michael Shurman
Geometry of the Quintic Book PDF

Author : Jerry Michael Shurman
Publisher : John Wiley & Sons
Page : 220 pages
File Size : 47,7 Mb
Release : 1997-01-31
Category : Mathematics
ISBN : 0471130176

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Geometry of the Quintic by Jerry Michael Shurman Pdf

This book helps students at the advanced undergraduate and beginning graduate levels to develop connections between the algebra, geometry, and analysis that they know, and to better appreciate the totality of what they have learned. The text demonstrates the use of general concepts by applying theorems from various areas in the context of one problem - solving the quintic. The problem is approached from two directions: the first is Felix Klein's nineteenth-century approach, using the icosahedron. The second approach presents recent works of Peter Doyle and Curt McMullen, which update Klein's use of transcendental functions to a solution through pure iteration.

Lectures on Mathematics

Felix Klein
Lectures on Mathematics Book PDF

Author : Felix Klein
Publisher : American Mathematical Soc.
Page : 142 pages
File Size : 51,9 Mb
Release : 1894
Category : Mathematics
ISBN : NWU:35556022693428

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Lectures on Mathematics by Felix Klein Pdf

Lectures on Quasicrystals

Françoise Hippert,Denis Gratias
Lectures on Quasicrystals Book PDF

Author : Françoise Hippert,Denis Gratias
Publisher : EDP Sciences
Page : 580 pages
File Size : 44,6 Mb
Release : 1994
Category : Quasicrystals
ISBN : CORNELL:31924074289715

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Lectures on Quasicrystals by Françoise Hippert,Denis Gratias Pdf