Introduction to Differential Equations

This text is a comprehensive introduction to differential equations, covering theory and practice for undergraduate and beginning graduate students in mathematics and the physical sciences. It includes new material on the Laplace transform, Bessel's equation, and variational methods, and prepares students for advanced studies in dynamical systems and partial differential equations.

Format: Paperback / softback
Length: 388 pages
Publication date: 01 January 2022
Publisher: American Mathematical Society

The theory and practice of differential equations are fundamental to the mathematical formulation of problems in physics, chemistry, biology, economics, and other sciences. This comprehensive textbook is designed for undergraduate or beginning graduate students in mathematics, as well as students in the physical sciences and engineering who have already taken a three-course calculus sequence.

The second edition of this book incorporates extensive new material, covering topics such as the Laplace transform and the matrix Laplace transform, a section dedicated to Bessel's equation, and sections on applications of variational methods to geodesics and rigid body motion. Additionally, a more comprehensive treatment of the Runge-Kutta scheme has been included, along with numerous additions and improvements to the original text. Upon completing this book, students will be well-prepared for advanced studies in dynamical systems, mathematical physics, and partial differential equations.

Differential equations play a crucial role in understanding the behavior of complex systems, and this textbook provides a solid foundation for students to explore this field further. With its clear explanations, numerous examples, and exercises, it is an invaluable resource for anyone interested in mathematics, physics, or engineering.

Dimension: 254 x 178 (mm)
ISBN-13: 9781470467623
Edition number: 2 Revised edition