Partial Differential Equations: Analytical Methods and Applications (Textbooks in Mathematics)

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