Title: Differential Equations: From Calculus to Dynamical Systems (Second Edition)
Author: Virginia W. Noonburg
Publisher: American Mathematical Society (AMS); 2nd edition (January 24, 2019)
Description: “Differential Equations: From Calculus to Dynamical Systems” by Virginia W. Noonburg presents a comprehensive exploration of differential equations, bridging the gap between calculus and dynamical systems. In this second edition, Noonburg delves into fundamental concepts such as first-order equations, linear differential equations, systems of differential equations, and their applications in dynamical systems. The book emphasizes conceptual understanding, providing clear explanations, illustrative examples, and exercises to reinforce learning. Through a rigorous yet accessible approach, readers gain insights into the behavior of dynamical systems and their real-world applications. Whether you’re a student studying mathematics, engineering, or physics, or an instructor seeking a comprehensive textbook for a differential equations course, this book serves as an invaluable resource for mastering the fundamentals of differential equations and their significance in dynamical systems theory. With updated content and examples, this edition equips readers with the tools and techniques necessary to analyze and solve differential equations effectively, fostering a deeper understanding of mathematical modeling and dynamical systems analysis.