An Introduction to Ordinary Differential Equations

Book Details

• Author: Earl A. Coddington

• Publisher: Dover

• Edition: Unabridged Edition

• Binding: Paperback

• Format: Unabridged

• Number of Pages: 320

• Release Date: 01-03-1989

• ISBN: 9780486659428

• Languages: English

• Package Dimensions:

  • Length: 8.3 inches

  • Width: 5.5 inches

  • Height: 0.7 inches

About The Book
"An Introduction to Ordinary Differential Equations" by Earl A. Coddington is an essential textbook for undergraduates in mathematics and science, offering a thorough and systematic introduction to the theory of elementary differential equations. The book is highly regarded for its clear, concise writing and structured approach to the subject, making it an invaluable resource for students seeking to build a solid foundation in this area.

The text begins with a review of the basic calculus concepts required to understand the material that follows, ensuring that students are adequately prepared. The first four chapters focus on linear equations, including first-order equations, equations with constant coefficients, variable coefficients, and regular singular points. The last two chapters delve into the existence and uniqueness of solutions, covering both first-order equations and systems of higher-order equations.

Throughout the book, Dr. Coddington goes beyond basic theory by including the statements and proofs of simpler existence and uniqueness theorems. Additionally, the text contains numerous exercises designed to develop problem-solving skills and deepen the reader's understanding of the mathematical structures involved. Special problems, with answers, are included to address important topics such as stability, equations with periodic coefficients, and boundary value problems, which are not explicitly covered in the text but are crucial for a comprehensive understanding.

This unabridged edition of the book is a must-read for students aiming to master the fundamentals of ordinary differential equations. With 320 pages of well-organized content, this book is an excellent resource for both study and reference. Its compact size (8.3 x 5.5 x 0.7 inches) makes it convenient for students and professionals alike.