An Introduction to Ordinary Differential Equations  (English, Paperback, Earl Coddington A)

Published in the year 2009, An Introduction To Ordinary Differential Equations is a book that covers the subject of differential equations in detail.

Summary Of The Book

An Ordinary Differential Equation (ODE) is classified as an equation composed of one independent variable and its derivatives. This subject of ordinary differential equations is applicable in fields such as mathematics and science, as it helps describe mathematical changes accurately.

An Introduction To Ordinary Differential Equations is intended as a reference guide for those taking a beginner’s course in Ordinary Differential Equations. The author deals with the elementary as well as advanced concepts of this subject, guiding readers into the general aspects of such equations and their solutions.

The book is divided into seven sections, each of which covers different aspects of the subject of differential equations. Some of the chapters covered in this book include Initial Value Problems for the Homogeneous Equation, The Second Order Homogeneous Equation, A Special Method for Solving the Non-Homogeneous Equation, and Existence and Uniqueness for Linear Systems.

Some of the other chapters presented are Reduction of the Order of a Homogeneous Equation, Convergence of the Successive Approximations, Problems Associated with Differential Equations, Complex Series and the Exponential Function, and The General Linear Equation of the First Order.

Chapters like An Example - Central Forces and Planetary Motion, The Method of Successive Approximations, The Non-Homogeneous Equation of Order Two, and Initial Value Problems for Second Order Equations are also included.

Through the course of this book, readers are provided with several exercises, which help them gauge their understanding of the concepts covered. In this edition, the author has also dealt with the subjects of stability equations with boundary value problems and periodic coefficients, in a brief manner. For readers to understand the concepts outlined in this book, it is imperative for them to have a sound understanding of the subject of Calculus. All in all, An Introduction To Ordinary Differential Equations is considered a must-have for those who want to gain a better understanding of differential equations.

About Earl A. Coddington

The author of this book, Earl A. Coddington, is a renowned professor of Mathematics. Apart from this book, Coddington has written a number of other books. They include Regular Boundary Value Problems Associated With Pairs Of Ordinary Differential Expressions, Extension Theory Of Formally Normal And Symmetric Subspaces (Memoirs Of The American Mathematical Society, no. 134), and Contributions To The Theory Of Nonlinear Oscillations, Volume II.