Partial Differential Equations: Analytical Methods and Applications

Partial Differential Equations: Analytical Methods and Applications covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners’ course for graduate students. It provides qualitative physical explanation of mathematical results while maintaining the expected level of it rigor.

This text introduces and promotes practice of necessary problem-solving skills. The presentation is concise and friendly to the reader. The “teaching-by-examples” approach provides numerous carefully chosen examples that guide step-by-step learning of concepts and techniques. Fourier series, Sturm-Liouville problem, Fourier transform, and Laplace transform are included. The book’s level of presentation and structure is well suited for use in engineering, physics and applied mathematics courses.

“This is a modern textbook on partial differential equations covering all the basic topics of a first course in PDEs. A balanced presentation introduces and practices all necessary problem-solving skills, yet is concise and friendly to the reader. The teaching-by-examples approach guides step-by-step learning of concepts and techniques”.