Partial Differential Equations for Scientists and Engineers (Dover Books on Mathematics)

Dover Publications, 1993. Paperback. Very Good. A copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Most physical phenomena, whether in the domain of fluid dynamics, electrici ty, magnetism, mechanics, optics, or heat flow, can be described in general by partial differential equations. Indeed, such equations are crucial to m athematical physics. Although simplifications can be made that reduce these equations to ordinary differential equations, nevertheless the complete de scription of physical systems resides in the general area of partial differ ential equations. This highly useful text shows the reader how to formulate a partial differential equation from the physical problem (constructing the mathematical model) and how to solve the equation (along with initial and boundary conditions). Written for advanced undergraduate and graduate students, as well as professionals working in the applied sciences, this clearly written book offers realistic, practical coverage of diffusion-type problems, hyperbolic-type problems, elliptic-type problems, and numerical and approximate methods. Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading.