Certain Partial Differential Equations Connected With the Theory of Surfaces

Nathan Allen Pattillo

ISBN 10: 133362266X ISBN 13: 9781333622664

Editorial: Forgotten Books, 2018

Idioma: Ingl�s

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Descripci�n

Print on Demand. This book delves into partial differential equations, with a specific focus on those related to surfaces. The author builds upon the work of Professor Craig, examining equations connected to the theory of surfaces. By considering linear partial differential equations of the second order, the book provides a thorough understanding of Laplace's method for integration. It explores the concept of invariants, which enjoy a significant role in the study of the proposed equations, and demonstrates how these functions can be used to derive general formulas for calculating invariants. The author also investigates the relationship between the equations and the curvature of surfaces, showing that under certain conditions, the lines of curvature form an isothermal system. The book's insights on partial differential equations connected to surfaces offer valuable knowledge for mathematicians and researchers working in differential geometry and related 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.

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Detalles bibliogr�ficos

T�tulo

Certain Partial Differential Equations Connected With the Theory of Surfaces

Editor

Forgotten Books

Fecha de publicaci�n

2018

Idioma

Ingl�s

ISBN 10

133362266X

ISBN 13

9781333622664

Encuadernaci�n

Paperback

Estado

New

Tipo de libro

print-on-demand item

Cat�logos de vendedores

Calculus

Acerca de

Sinopsis

This book delves into partial differential equations, with a specific focus on those related to surfaces. The author builds upon the work of Professor Craig, examining equations connected to the theory of surfaces. By considering linear partial differential equations of the second order, the book provides a thorough understanding of Laplace's method for integration. It explores the concept of invariants, which enjoy a significant role in the study of the proposed equations, and demonstrates how these functions can be used to derive general formulas for calculating invariants. The author also investigates the relationship between the equations and the curvature of surfaces, showing that under certain conditions, the lines of curvature form an isothermal system. The book's insights on partial differential equations connected to surfaces offer valuable knowledge for mathematicians and researchers working in differential geometry and related fields.

Rese�a del editor

Excerpt from Certain Partial Differential Equations Connected With the Theory of Surfaces: Dissertation Submitted to the Board of University Studies of the Johns Hopkins University, for the Degree of Doctor of Philosophy
In this paper the work done there has been continued. The first section is introductory, and gives a brief resume of Laplace's method for the integration of linear partial differential equations of the second order.
In the next two sections Professor Craig's equations (e01) and. Are deduced together with their equivalent equations and the corresponding Laplace's series, and the general formulae for calculating their invariants are derived. The form of substitution required to pass from an equation of one series to one of the other series has also been found.
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."

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Descripci�n de la librer�a

Forgotten Books? Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.

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