Partial Differential Equations: An Essay Towards An Entirely New Method Of Integrating Them (1871)

Partial Differential Equations: An Essay Towards An Entirely New Method Of Integrating Them is a book written by Samuel Earnshaw in 1871. The book is a comprehensive guide to partial differential equations, which are mathematical equations that involve partial derivatives of an unknown function. Earnshaw presents a new method of integrating these equations, which he claims is more efficient and accurate than existing methods.The book is divided into several chapters, each of which covers a different aspect of partial differential equations. The first chapter provides an introduction to the subject, explaining the basic concepts and terminology. The second chapter discusses the general theory of partial differential equations, including their classification and properties. The third chapter introduces Earnshaw's new method of integration, which he calls the ""method of characteristics.""The remaining chapters of the book apply Earnshaw's method to specific types of partial differential equations, including the wave equation, heat equation, and Laplace's equation. Each chapter includes numerous examples and exercises to help readers understand the material.Overall, Partial Differential Equations: An Essay Towards An Entirely New Method Of Integrating Them is a valuable resource for mathematicians and scientists interested in partial differential equations. Earnshaw's new method of integration provides a fresh perspective on this important area of mathematics, and his clear explanations and examples make the material accessible to a wide range of readers.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.