Isom H. HerronCambridge University PressEdition: Illustrated, 7/17/2014EAN 9781107427211, ISBN10: 1107427215Paperback, 298 pages, 25.4 x 17.8 x 1.5 cmLanguage: EnglishThis book is concerned with partial differential equations applied to fluids problems in science and engineering and is designed for two potential audiences. First, this book can function as a text for a course in mathematical methods in fluid mechanics in non-mathematics departments or in mathematics service courses. The authors have taught both. Second, this book is designed to help provide serious readers of journals (professionals, researchers, and graduate students) in analytical science and engineering with tools to explore and extend the missing steps in an analysis. The topics chosen for the book are those that the authors have found to be of considerable use in their own research careers. These topics are applicable in many areas, such as aeronautics and astronautics; biomechanics; chemical, civil, and mechanical engineering; fluid mechanics; and geophysical flows. Continuum ideas arise in other contexts, and the techniques included have applications there as well.1. Review of analytic function theory2. Special functions3. Eigenvalue problems and eigenfunction expansions4. Green's functions for boundary-value problems5. Laplace transform methods6. Fourier transform methods7. Particular physical problems8. Asymptotic expansions of integrals.
