On the Reduction of Hyperelliptic Functions (P=2) To Elliptic Functions by a

J. I. Hutchinson

ISBN 10: 1334016291 / ISBN 13: 9781334016295

Editore: Forgotten Books, 2018

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Print on Demand. This book delves into the fascinating world of hyperelliptic functions and their intricate relationship with elliptic functions. The author embarks on a historical journey, tracing the evolution of mathematical thought on this subject from the early 19th century contributions of Legendre and Jacobi to the later advancements made by Kà  nigsberger, Gordan, and Hermite. The central theme revolves around the concept of "reducibility," exploring how certain hyperelliptic integrals can be expressed in terms of simpler elliptic integrals through specific transformations. The author meticulously examines the conditions for reducibility, delving into the properties of involutions and the geometric interpretations of these mathematical relationships. Through a detailed analysis of various cases and special scenarios, the book sheds light on the intricate connections between different mathematical structures. Employing elegant mathematical tools such as Klein's Ã Æ -functions and exploring concepts like periods, integrals of the second and third kind, and the fascinating Kummer surface, the author unveils the hidden depths and symmetries within this complex mathematical landscape. Ultimately, this book offers a profound understanding of the interplay between hyperelliptic and elliptic functions, revealing the elegance and power of mathematical abstraction in deciphering the universe's underlying patterns. 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.

Codice articolo 9781334016295_0

Dati bibliografici

• Titolo: On the Reduction of Hyperelliptic Functions (P=2) To Elliptic Functions by a
• Editore: Forgotten Books
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 1334016291
• ISBN 13: 9781334016295
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: print-on-demand item
• Cataloghi dei venditori:
  • Calculus

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Riassunto

Excerpt from On the Reduction of Hyperelliptic Functions (P=2) To Elliptic Functions by a Transformation of the Second Degree: A Dissertation

On the Reduction of Hyperelliptic Functions (p z: 2) to Elliptic Functions by a Transformation of the Second Degree.

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.