This book offers a practical approach to solving Partial Differential Equations (PDEs) for real-world problems, focusing on applications in fields like fluid mechanics, solid mechanics, and heat transfer. Aimed at first-year graduate students with a solid mathematical background, it emphasizes computational techniques and interdisciplinary connections.
A First Practical Course
Focusing on the practical application of Partial Differential Equations (PDEs), this book is designed for readers with foundational knowledge in the subject, aiming to tackle real-world problems involving complex geometries, variable coefficients, and nonlinearities. It covers a range of applications in classical mathematical physics and engineering sciences, including fluid mechanics and wave propagation. The content, derived from lectures at Dartmouth College, is tailored for first-year graduate students equipped with a solid mathematical background and programming skills, emphasizing computational techniques.
Focusing on applied mathematics, this book explores the critical intersection of natural resource management and sustainability. It provides engineers and scientists with practical tools and insights to address environmental challenges, emphasizing the importance of mathematical modeling in effective resource management strategies.