Certain Partial Differential Equations Connected With the Theory of Surfaces
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 13.30
Quantity: Over 20 available
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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.…
Seller Inventory # 9781333622664_0
- Title
- Certain Partial Differential Equations Connected With the Theory of Surfaces
- Author
- Nathan Allen Pattillo
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 133362266X
- ISBN 13
- 9781333622664
- Seller catalogs
- Calculus
This edition presents a structured analysis: starting from a linear PDE and moving through invariants, substitutions, and reductions to reveal how curvature, lines of curvature, and principal radii interact with differential equations. It combines classical techniques with precise derivations, offering a deep look at how the theory of surfaces informs and is informed by partial differential equations.
- Derivations of invariants and their role in simplifying complex PDEs tied to surface geometry
- Connections between curvature, geodesic curvature, and lines of curvature through Laplace’s methods
- Isothermal systems and conditions under which curvature lines form special coordinate nets
- Step-by-step transformations and substitutions that illuminate the interplay between analysis and geometry
Ideal for readers with a background in differential geometry and PDEs who seek a thorough, methodical exploration of how these topics converge in the study of surfaces.
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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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Forgotten Books publishes hundreds of thousands of rare and classic books.
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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