Publisher's Synopsis
Existence Proofs For Ordinary Differential Equations Of The First Order And Degree is a book written by Edwin Raymond Smith and published in 1908. The book deals with the mathematical concept of ordinary differential equations, which are equations that describe the relationship between a function and its derivatives. The book focuses on providing proofs for the existence of solutions to such equations, specifically those of the first order and degree. Smith's work is divided into several chapters, each of which covers a different aspect of the topic. The first chapter provides an introduction to the subject and defines key terms and concepts. The second chapter discusses the basic properties of solutions to first-order differential equations, while the third chapter focuses on the existence and uniqueness of solutions. Later chapters delve into more complex topics, such as the existence of periodic solutions, the relationship between solutions and initial conditions, and the use of integral equations to solve differential equations. Throughout the book, Smith provides detailed proofs and explanations of the various concepts, making it accessible to both students and professionals in the field of mathematics. Overall, Existence Proofs For Ordinary Differential Equations Of The First Order And Degree is a comprehensive and valuable resource for anyone studying or working with differential equations.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.
