Certain Partial Differential Equations Connected With the Theory of Surfaces: Dissertation Submitted to the Board of University Studies of the Johns . of Doctor of Philosophy (Classic Reprint)

Pattillo, Nathan Allen

ISBN 10: 133362266X / ISBN 13: 9781333622664

Published by Forgotten Books, 2019

About this Item

40 pages. 8.98x6.02x0.12 inches. In Stock.

Seller Inventory # __133362266X

Bibliographic Details

• Title: Certain Partial Differential Equations Connected With the Theory of Surfaces: Dissertation Submitted to the Board of University Studies of the Johns . of Doctor of Philosophy (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2019
• Language: English
• ISBN 10: 133362266X
• ISBN 13: 9781333622664
• Binding: Paperback
• Condition: Brand New

About this title

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.