If you have been staring at your lecture notes in confusion, or if you want to see why differential equations are called the "heartbeat of engineering," pick up Differential Equations and Their Applications by Zafar Ahsan.
This book is ideal for who need a balanced diet. It is rigorous enough for math majors (proving existence and uniqueness theorems) but applied enough for engineers, featuring solved examples from circuit theory and mechanics.
Zafar Ahsan’s approach to teaching differential equations is characterized by:
In addition to ODEs, Ahsan introduces basic PDEs, covering the wave equation, heat equation, and Laplace's equation. These are crucial for understanding physical processes that depend on both time and space. 4. Real-World Applications Discussed by Zafar Ahsan