Symbolic Finite Solutions and Solutions by Definite Integrals of the Equation

John Charles Fields

ISBN 10: 1334018391 / ISBN 13: 9781334018398

Verlag: Forgotten Books, 2024

Beschreibung

Print on Demand. This insightful and comprehensive book delves into the realm of symbolic solutions and the application of definite integrals in solving an important class of differential equations known as "Riccati equations". The author, a renowned mathematician, presents a novel method for obtaining finite solutions to these equations, extending the possibilities of solving such equations beyond previously known techniques. By introducing a symbolic form of representing solutions, this method unlocks new avenues for exploring the behavior of these equations and discovering their patterns. Through a combination of theoretical explanations and practical examples, the book elucidates the connections between these solutions and the broader theory of differential equations, solidifying the importance and depth of this research within the mathematical landscape. 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. Bestandsnummer des Verkäufers 9781334018398_0

Bibliografische Details

Titel: Symbolic Finite Solutions and Solutions by ...

Verlag: Forgotten Books

Erscheinungsdatum: 2024

Einband: Paperback

Zustand: New

Art des Buches: print-on-demand item

Über diesen Titel

Inhaltsangabe:

Excerpt from Symbolic Finite Solutions and Solutions by Definite Integrals of the Equation Dny/Dxn = Xmy

The solution by definite integrals of the above equation was first proposed by Kummer and Spitzer, to whose papers I will refer further on, find the general solution for m any positive integer, and for m a negative integer greater than 211, respectively. M. De Tilly treats this equation by a very inter esting methodxl'

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.