Ordinary Differential Equations (Classic Reprint): With an Introduction to Lie's Theory of the Group of One Parameter - Couverture souple

Page, James Morris

9781330126660: Ordinary Differential Equations (Classic Reprint): With an Introduction to Lie's Theory of the Group of One Parameter

Couverture souple

ISBN 10 : 1330126661 ISBN 13 : 9781330126660

Editeur : Forgotten Books, 2018

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Excerpt from Ordinary Differential Equations

This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics. On account of the elementary character of the book, only the simpler portions of the subject have been touched upon at all; and much care has been taken to make all the developments as clear as possible every important step being illustrated by easy examples.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

Pr�sentation de l'�diteur

Excerpt from Ordinary Differential Equations: With an Introduction to Lie's Theory of the Group of One Parameter

This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics. On account of the elementary character of the book, only the simpler portions of the subject have been touched upon at all; and much care has been taken to make all the developments as clear as possible - every important step being illustrated by easy examples.

In one material respect, this book differs from the older text-books upon the subject in the English language: namely, in the methods employed. Ever since the discovery of the Infinitesimal Calculus, the integration of differential equations has been one of the weightiest problems that have attracted the attention of mathematicians. It is not possible to develop a method of integration for all differential equations; but it was found possible to give theories of integration for certain classes of these equations; for instance, for the homogeneous or for the linear, differential equation of the first order.

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This volume is produced from digital images from the Cornell University Library Historical Mathematics Monographs collection.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1330126661
ISBN 13: 9781330126660
Reliure: Broch�
Nombre de pages: 248
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Ordinary Differential Equations (Classic Reprint)

James Morris Page

Edit� par Forgotten Books, 2018

ISBN 10 : 1330126661 ISBN 13 : 9781330126660

Neuf Paperback

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book explains the genesis of the ordinary differential equation and demonstrates how to derive it from its complete primitive. It covers the order and degree of differential equations and explores the concept of the general integral. The author goes on to provide insight into the notion of invariant differential equations and how they can be integrated by quadrature. Moreover, this book introduces readers to the Lie infinitesimal transformation and explains its connection to Euler integrating factors. Through clear explanations and illustrative examples, the author explores the geometrical interpretation of ordinary differential equations, delving into topics such as orthogonal trajectories, isothermal systems, and singular solutions. This book offers valuable insights for readers seeking to comprehend the intricacies of ordinary differential equations and their applications in various fields. 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. N� de r�f. du vendeur 9781330126660_0

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