Superb introduction devotes almost half its pages to numerical methods for solving partial differential equations, while the heart of the book focuses on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included, with solutions for many at end of book. For students with little background in linear algebra, a useful appendix covers that subject briefly.
Coverage includes Fourier series, orthogonal functions, boundary value problems, Green's functions, and transform methods. This text is ideal for readers interested in science, engineering, and applied mathematics.
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KEY BENEFIT Emphasizing physical interpretations of mathematical solutions, this book introduces applied mathematics and presents partial differential equations.
This new edition of the well-known text by Ockendon et al., providing an enthusiastic and clear guideto the theory and applications of PDEs, provides timely updates on: transform methods (especially multidimensional Fourier transforms and ...
This book is written to meet the needs of undergraduates in applied mathematics, physics and engineering studying partial differential equations.
This text is designed for engineers, scientists, and mathematicians with a background in elementary ordinary differential equations and calculus.
In this exercise, we derive the Laguerre polynomials from the Gram-Schmidt procedure. (a) (b) (c) Consider the weighted inner product space L2w(0,∞) with weight function w(x) = e−x. Apply the Gram-Schmidt procedure to {1, x, x2,x3,.
The emphasis in this book is placed on techniques for solving partial differential equations found in physics and engineering but discussions on existence and uniqueness of solutions are included. Several...
Partial Differential Equations presents a balanced and comprehensive introduction to the concepts and techniques required to solve problems containing unknown functions of multiple variables.
Applied functional Analysis and Partial Differential Equations