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.
Highlights:
Offers a complete first course on PDEs
The text’s flexible structure promotes varied syllabi for courses
Written with a teach-by-example approach which offers numerous examples and applications
Includes additional topics such as the Sturm-Liouville problem, Fourier and Laplace transforms, and special functions
The text’s graphical material makes excellent use of modern software packages
Features numerous examples and applications which are suitable for readers studying the subject remotely or independently