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On the Reduction of Hyperelliptic Integrals (P=3) To Elliptic Integrals by Transformation of the Second and Third Degrees: A Dissertation (Classic Reprint) - Softcover
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Excerpt from On the Reduction of Hyperelliptic Integrals (P=3) To Elliptic Integrals by Transformation of the Second and Third Degrees: A Dissertation
The principal subject of this paper is an application of the cubic involution to the problem of reduction to elliptic integrals, of hyperelliptic integrals of genus p 3 and of the first kind, by a rational transformation of the third degree.
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1816-1868
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 1333272561
- ISBN 13 9781333272562
- BindingPaperback
- LanguageEnglish
- Number of pages48
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Paperback. Condition: New. Print on Demand. This book investigates hyperelliptic integrals of genus 3 using rational transformations. It explores the history of the subject and introduces a method leveraging cubic involutions to solve the problem of their reduction to elliptic integrals. The cubic involution approach allows for a complete study of simultaneous reductions by transformations of the second and third degrees. The author establishes a relationship between the octavic and the branch form, which yields an algebraic condition for the existence of a reducible integral. Notably, the book determines all hyperelliptic integrals reducible to elliptic integrals by transformations of any degree, for a specific curve. Its insights shed light on the problem of reduction, offering an alternative perspective on a classic mathematical problem. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781333272562_0
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On the Reduction of Hyperelliptic Integrals P3 To Elliptic Integrals by Transformation of the Second and Third Degrees A Dissertation Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333272562
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On the Reduction of Hyperelliptic Integrals P3 To Elliptic Integrals by Transformation of the Second and Third Degrees A Dissertation Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333272562
Quantity: 15 available