Items related to Certain Partial Differential Equations Connected With...

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 (Classic Reprint) - Softcover

 
9781333622664: 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 (Classic Reprint)

Synopsis

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.

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  • PublisherForgotten Books
  • Publication date2024
  • ISBN 10 133362266X
  • ISBN 13 9781333622664
  • BindingPaperback
  • LanguageEnglish
  • Number of pages39

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Nathan Allen Pattillo
Published by Forgotten Books, 2018
ISBN 10: 133362266X ISBN 13: 9781333622664
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Paperback. Condition: New. 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. print-on-demand item. Seller Inventory # 9781333622664_0

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Pattillo, Nathan Allen
Published by Forgotten Books, 2019
ISBN 10: 133362266X ISBN 13: 9781333622664
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