This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics-series for a complete list of titles. Applied Partial Differential Equations with Fourier Series and Boundary Value Problems emphasizes the physical interpretation of mathematical solutions and introduces applied mathematics while presenting differential equations. 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.
KEY BENEFIT Emphasizing physical interpretations of mathematical solutions, this book introduces applied mathematics and presents partial differential equations.
Building on the basic techniques of separation of variables and Fourier series, the book presents the solution of boundary-value problems for basic partial differential equations: the heat equation, wave equation, and Laplace equation, ...
Partial Differential Equations presents a balanced and comprehensive introduction to the concepts and techniques required to solve problems containing unknown functions of multiple variables.
This book introduces finite difference methods for both ordinary differential equations (ODEs) and partial differential equations (PDEs) and discusses the similarities and differences between algorithm design and stability analysis for ...
18), the choice (a) tv/k2 = 1/2 yields the Lax-Wendroff method; (b) kv/h2 = (sa)2/2 yields the Lax-Friedrichs method; (c) kv/h2 = sa/2 ... LTE = O(k + A); siability restriction, - 1 s iXp < 0, p = 1,2 M: Ui*' = a + *A)Ui - 5AUi+,.
The book also presents elementary dynamical systems in a unique and flexible way that is suitable for all courses, regardless of length.
Rich in proofs, examples, and exercises, this widely adopted text emphasizes physics and engineering applications.
The book may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering.
The integral in this formula is a complex contour integral taken over the infinite straight line (called a Bromwich path) in the complex plane from a – ico to a + iod. The number a is any real number for which the resulting Bromwich ...
The book is intended as an advanced undergraduate or first-year graduate course for students from various disciplines, including applied mathematics, physics and engineering.