Lectures on Ikosahedron and the Solution of Equations of the Fifth Degree
300+ Pages. Complete and Unabridged. From the Preface. The theory of the Ikosahedron has during the last few years obtained a place of such importance for nearly all departments of modern analysis, that it seemed expedient to publish a systematic exposition of the same. Should this prove acceptable, I propose to continue in the same course and to treat in a similar manner the subject of Elliptic Modular Functions, and the general investigations newly made of Single-valued Functions, with linear transformations into themselves. Thus a treatise of several volumes would grow, in which I should expect to promote science, at least in so far as it might introduce many to realms of modern mathematics rich in far-stretching vistas. Referring generally as to the limitations of the material, which I have observed in this publication, to the future exposition itself, I would here only draw attention to the second part, which treats of the solution of equations of the fifth degree. - It is now fully twenty-five years since Brioschi, Hermite, and Kronecker in joint labours created the modern theory of equations of the fifth degree. But though these investigations are now and again quoted, the mathematical world at large has hitherto failed to grasp their true import. By giving the first place in the following pages to the subject of the Ikosahedron, and by treating this as the true basis of the processes of solution, a view of the theory is brought forward than which a simpler and more lucid one cannot well be desired.
1123008758
Lectures on Ikosahedron and the Solution of Equations of the Fifth Degree
300+ Pages. Complete and Unabridged. From the Preface. The theory of the Ikosahedron has during the last few years obtained a place of such importance for nearly all departments of modern analysis, that it seemed expedient to publish a systematic exposition of the same. Should this prove acceptable, I propose to continue in the same course and to treat in a similar manner the subject of Elliptic Modular Functions, and the general investigations newly made of Single-valued Functions, with linear transformations into themselves. Thus a treatise of several volumes would grow, in which I should expect to promote science, at least in so far as it might introduce many to realms of modern mathematics rich in far-stretching vistas. Referring generally as to the limitations of the material, which I have observed in this publication, to the future exposition itself, I would here only draw attention to the second part, which treats of the solution of equations of the fifth degree. - It is now fully twenty-five years since Brioschi, Hermite, and Kronecker in joint labours created the modern theory of equations of the fifth degree. But though these investigations are now and again quoted, the mathematical world at large has hitherto failed to grasp their true import. By giving the first place in the following pages to the subject of the Ikosahedron, and by treating this as the true basis of the processes of solution, a view of the theory is brought forward than which a simpler and more lucid one cannot well be desired.
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Lectures on Ikosahedron and the Solution of Equations of the Fifth Degree
312
Lectures on Ikosahedron and the Solution of Equations of the Fifth Degree
312Paperback
$9.94
9.94
In Stock
Product Details
| ISBN-13: | 9781663531360 |
|---|---|
| Publisher: | Barnes & Noble Press |
| Publication date: | 07/11/2020 |
| Pages: | 312 |
| Product dimensions: | 6.00(w) x 9.00(h) x 0.70(d) |
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