Ordinary Differential Equations (Dover Books on Mathematics)

Book Details:

• Publisher: Dover

• Author: Jack K. Hale

• Language: English

• Binding: Paperback

• ISBN: 9780486472119

• Pages: 384

• Edition: Illustrated

• Release Date: 21-05-2009

About The Book:

"Theory of Differential Equations" by Jack K. Hale is a rigorous and comprehensive textbook based on a Brown University course in applied mathematics. This book provides an in-depth treatment of specific analytical methods, with a strong focus on nonlinear problems in ordinary differential equations. Aimed at students and researchers in the field, it equips them with the techniques and problem-solving skills necessary for informed research and a deeper understanding of the subject.

The book emphasizes practical application, devoting significant attention to the analytical methods commonly used in real-world applications. It prepares students to engage with current literature effectively, offering a solid foundation in the theory and practice of differential equations.

Key topics include:

• Two-dimensional systems and linear systems with linearization.

• Perturbations of noncritical linear systems.

• Oscillatory phenomena and the method of averaging.

• Behavior near periodic orbits and integral manifolds of equations.

• Systems with small parameters and solving functional equations.

• Direct method of Liapunov.

Each chapter concludes with exercises to help reinforce the material, while the appendix serves as a useful reference for periodic functions.

Whether you're a student, researcher, or applied mathematician, this book offers invaluable insights and provides a comprehensive approach to understanding differential equations. It’s ideal for those looking to deepen their knowledge in nonlinear dynamics and applied mathematics.