Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The treatment relies heavily on the convergence properties of sequences and series of numbers as well as on function. The text's presentation follows a clear, rigorous mathematical style that is highly readable and easy to follow. Coverage begins with a description of the mathematical tools for building the Sturm-Liouville theory. Next, the author develops the theory and then presents the fruits of the theory. In addition, the book covers Fourier transforms and extends Fourier series to non-periodic functions. The many worked examples and exercises with solutions make the book suitable for self-study as well as accessible to undergraduate students in mathematics, physics, engineering, and related fields.
We publiceren alleen reviews die voldoen aan de voorwaarden voor reviews. Bekijk onze voorwaarden voor reviews.