Verhulst, Ferdinand. <br/><br/>
Methods and Applications of Singular Perturbations  Boundary Layers and Multiple Timescale Dynamics /  [electronic resource] : 
by Ferdinand Verhulst. 
 - XVI, 328 p. 26 illus.  online resource. 
 - Texts in Applied Mathematics,  50  0939-2475 ; .
 - Texts in Applied Mathematics,  50 .
<br/><br/>Basic Material -- Approximation of Integrals -- Boundary Layer Behaviour -- Two-Point Boundary Value Problems -- Nonlinear Boundary Value Problems -- Elliptic Boundary Value Problems -- Boundary Layers in Time -- Evolution Equations with Boundary Layers -- The Continuation Method -- Averaging and Timescales -- Advanced Averaging -- Averaging for Evolution Equations -- Wave Equations on Unbounded Domains. 
<br/><br/>ZDB-2-SMA 
<br/><br/> Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences is the main focus of this workbook. In a systematic introductory manner, this unique book deliniates boundary layer theory for ordinary and partial differential equations, multi-timescale phenomena for nonlinear oscillations, diffusion and nonlinear wave equations. The book provides analysis of simple examples in the context of the general theory, as well as a final discussion of the more advanced problems. Precise estimates and excursions into the theoretical background makes this workbook valuable to both the applied sciences and mathematics fields. As a bonus in its last chapter the book includes a collection of rare and useful pieces of literature, such as the summary of the Perturbation theory of Matrices. Detailed illustrations, stimulating examples and exercises as well as a clear explanation of the underlying theory makes this workbook ideal for senior undergraduate and beginning graduate students in applied mathematics as well as science and engineering fields. 
<br/><br/><label>ISBN: </label>9780387283135 
<br/><br/><label>Standard No.: </label>10.1007/0-387-28313-7  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics.<br/>Differentiable dynamical systems.<br/>Differential Equations.<br/>Differential equations, partial.<br/>Numerical analysis.<br/>Mathematical physics.<br/>Mathematics.<br/>Ordinary Differential Equations.<br/>Partial Differential Equations.<br/>Mathematical Methods in Physics.<br/>Dynamical Systems and Ergodic Theory.<br/>Numerical Analysis.<br/>Applications of Mathematics.
<br/><br/><label>LC Class. No.: </label>QA372 
<br/><br/><label>Dewey Class. No.: </label>515.352