Partial Differential Equations Analytical Methods and Applications

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