Linear Methods of Applied Mathematics
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|Evans M. Harrell II and James V. Herod|
|An online textbook suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations. Organized into nineteen chapters: Linearity, The geometry of functions, Fourier series, Calculating Fourier series, Differentiating Fourier series, Notes on a vibrating string, Traveling waves, Mathematics of hot rods (heat equation), PDEs in space, PDEs on a disk, Great balls of PDEs (spherical coordinates), Geometry and integral operators, Solving Y = KY + f, Ordinary differential operators, Finding Green functions for ODEs, Partial differential operators - classification and adjoints, The free Green function and the method of images, Using conformal mapping to construct Green functions, and Some advanced topics. Includes some accompanying Maple worksheets and Mathematica notebooks and remarks for the professor. Site also offers a diagnostic quiz, unit tests, biographical and historical notes, index and glossary; Adobe Acrobat downloads.|
|Resource Types:||Courses, Problems/Puzzles, Textbooks, Maple, Mathematica|
|Math Topics:||Fourier Analysis/Wavelets, Calculus (Multivariable), Ordinary Differential Equations, Partial Differential Equations, History and Biography|
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