Partial Differential Equations: An Essay Towards an Entirely New Method of Integrating Them - Couverture souple

Earnshaw, Samuel

Couverture souple

ISBN 10 : 1437060005 ISBN 13 : 9781437060003

Editeur : Kessinger Publishing Co, 2008

Synopsis

Partial Differential Equations: An Essay Towards An Entirely New Method Of Integrating Them is a book written by Samuel Earnshaw and originally published in 1871. The book is a comprehensive guide to the study of partial differential equations, which are mathematical equations that involve partial derivatives of an unknown function of several variables. In this book, Earnshaw presents a new method for integrating partial differential equations, which he claims is simpler and more efficient than existing methods. He begins by introducing the basic concepts and terminology of partial differential equations, and then goes on to explain his new method in detail. The book is divided into four parts. In the first part, Earnshaw provides an introduction to partial differential equations and their applications. In the second part, he presents his new method of integrating partial differential equations, which he calls the ""method of characteristics."" This method involves finding a set of curves, called characteristics, along which the solution to the equation is constant. In the third part of the book, Earnshaw applies his method to a variety of specific types of partial differential equations, including linear equations, equations of the first order, and equations with variable coefficients. He also discusses the use of his method in solving boundary value problems. In the final part of the book, Earnshaw presents a series of examples and exercises to help readers practice and apply his method. He also includes a number of appendices with additional mathematical background and technical details. Overall, Partial Differential Equations: An Essay Towards An Entirely New Method Of Integrating Them is a seminal work in the field of partial differential equations, and a valuable resource for anyone interested in this subject.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

A propos du livre

Présentation de l'éditeur

The Author of this Essay has been forewarned that the adoption of the subscript differential notation, which forty years ago was in some degree of favour but afterwards laid aside, will prove a serious hinderance to the acceptableness of the present Work, as it will be new to the generality of mathematical students, and therefore somewhat repellent. He regrets the circumstance, and feels that an explanation and apology are needed; and he finds both in the fact that the notation alluded to has been forced upon him by the necessities of the case; and, moreover, he ventures to think that the reader after going through theE ssay will agree with him in this, and be willing on this ground to excuse such an important deviation from established mathematical usage. The Author denominates his Work anE ssay, because as aT reatise it would be very incomplete, there being many poi-tions of the general subject not alluded to in these pages.
(Typographical errors above are due to OCR software and don't occur in the book.)

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Détails de l'édition

• Éditeur: Kessinger Publishing Co
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 1437060005
• ISBN 13: 9781437060003
• Reliure: Broché
• Nombre de pages: 164
• Coordonnées du fabricant: non disponible
• Personne responsable: KreGa Onlinehandel GmbH; 4950000000000; info@krega-onlinehandel.de; ; Birkenweg 31; Brakel; 33034; Allemagne