9781333272562 - On the Reduction of Hyperelliptic Integrals (P=3) To Elliptic Integrals by Transformation of the Second and Third Degrees: A Dissertation (Classic Reprint) di Gille... (3 risultati)

PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000.

Paperback. Condizione: 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.