Dissertation (Classic Reprint)

William H. Maltbie

ISBN 10: 1332172563 / ISBN 13: 9781332172566

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book explores mathematical functions associated with a group of curves that lie on a two-dimensional plane. The author first introduces an approach to simplify these curves for further analysis, laying the groundwork for investigating their mathematical properties. The book then delves into the integrals connected to these curves, classifying them into two types. The first type is similar to those in the simpler hyperelliptic case. The second type, however, is unique to these curves and requires a deeper examination. The author demonstrates that certain multiple points on the curves can lead to a reduction in the number of integrals that remain finite throughout the plane. The book concludes by exploring the periods of these integrals, revealing their distinct nature and providing a comprehensive understanding of their mathematical behavior. By offering a method to simplify the curves and investigating the resulting mathematical functions, this book provides valuable insights into the properties of these curves and their associated integrals. 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.

Seller Inventory # 9781332172566_0

Bibliographic Details

• Title: Dissertation (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1332172563
• ISBN 13: 9781332172566
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Calculus

About this title

Synopsis

This book explores mathematical functions associated with a group of curves that lie on a two-dimensional plane. The author first introduces an approach to simplify these curves for further analysis, laying the groundwork for investigating their mathematical properties. The book then delves into the integrals connected to these curves, classifying them into two types. The first type is similar to those in the simpler hyperelliptic case. The second type, however, is unique to these curves and requires a deeper examination. The author demonstrates that certain multiple points on the curves can lead to a reduction in the number of integrals that remain finite throughout the plane. The book concludes by exploring the periods of these integrals, revealing their distinct nature and providing a comprehensive understanding of their mathematical behavior. By offering a method to simplify the curves and investigating the resulting mathematical functions, this book provides valuable insights into the properties of these curves and their associated integrals.

Product Description

Excerpt from Dissertation: Presented to the Board of University Studies of the Johns Hopkins University for the Degree of Doctor of Philosophy

Dissertation: Presented to the Board of University Studies of the Johns Hopkins University for the Degree of Doctor of Philosophy was written by William H. Maltbie in 1894. This is a 29 page book, containing 7649 words and 5 pictures. Search Inside is enabled for this title.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

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.