Differential Equations with MATLAB: Exploration, Applications, and Theory: 15 (Textbooks in Mathematics)

Book Details

• Publisher: CRC Press

• Author: McKibben, Mark

• Language: English

• Edition: 1

• ISBN: 9781466557079

• Pages: 498

• Cover: Hardcover

• Dimensions: 10.0 x 6.9 x 1.2 inches

About The Book

Differential Equations with MATLAB: Exploration, Applications, and Theory by Mark McKibben is a uniquely crafted textbook designed for undergraduate students exploring the intersection of mathematical modeling and computational tools. Published by CRC Press, this comprehensive work bridges the practical and theoretical aspects of differential equations—both ordinary (ODEs) and partial (PDEs)—through a cohesive and interactive learning approach.

In the first part, the book explores systems of linear ODEs and applies them to real-world scenarios in pharmacokinetics, classical mechanics, electrical circuits, chemistry, physiology, and more. The second part transitions into linear PDEs, guiding students through models related to wave propagation, heat conduction, fluid flow in fissured rocks, pattern formation, and financial mathematics. Across more than 20 diverse applications, the book develops a unified understanding of mathematical modeling.

With a student-centered writing style, the author actively engages learners through thought-provoking questions, proof-based challenges, and opportunities to verify theoretical insights. Integrated MATLAB® GUIs elevate the learning experience by enabling interactive visualizations and pattern discovery, making this 498-page hardcover an invaluable academic resource for mathematics, physics, engineering, and finance students.