Theory of Differential Equations, Vol. 3: Part II. Ordinary Equations, Not Linear (Classic Reprint)

Forsyth, Andrew Russell

ISBN 10: 1334018235 / ISBN 13: 9781334018237

Published by Forgotten Books, 2019

About this Item

406 pages. 9.02x5.98x0.83 inches. This item is printed on demand.

Seller Inventory # zk1334018235

Bibliographic Details

• Title: Theory of Differential Equations, Vol. 3: Part II. Ordinary Equations, Not Linear (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2019
• Language: English
• ISBN 10: 1334018235
• ISBN 13: 9781334018237
• Binding: Paperback
• Condition: Brand New
• Weight: 0.55 kilograms

About this title

Synopsis

This book delves into the theoretical framework surrounding differential equations, particularly those equations that are nonlinear and of the first order. The author employs a systematic approach, exploring concepts from their origin, elucidating their historical evolution, and examining the analytical tools utilized in their study. The book's primary focus is the investigation of the behavior of integrals associated with differential equations in the vicinity of singular points and singularities. The author introduces essential background material, including the existence and uniqueness of integrals and the reduction of systems to canonical forms. The exploration then extends to more complex scenarios involving accidental singularities and essential singularities, providing a comprehensive analysis of the integral behavior in each case. The book concludes with a detailed examination of the reduced forms of systems of equations involving two dependent variables, offering a thorough understanding of the construction and characteristics of these forms.