Asymptotic Methods for Engineers

Igor Andrianov is currently at RWTH Aachen University, Germany, and has 25 years of experience in mathematics, applied mechanics and mechanics of solids. His research interests include asymptotic approaches, nonlinear dynamics, composite materials, and theory of plates and shells.Jan Awrejcewicz is Head of the Department of Automation, Biomechanics and Mechatronics at Lodz University of Technology. His research interests lie in the area of mechanics, materials science, biomechanics, applied mathematics, with a main focus of nonlinear processes. He is author of over 1,000 papers and 55 books. He is Editor-in-Chief of 3 international journals and member of the Editorial Boards of 90 international journals.

• Chapter 1 Asymptotic Approximations And SeriesChapter 2 Regular Asymptotic ExpansionsChapter 3 Singular Asymptotic ExpansionsChapter 4 Dynamic Edge Effect MethodChapter 5 ContinualizationChapter 6 Averaging And Homogenization MethodsChapter 7 Summation Of Asymptotic SeriesChapter 8 Applications Of Padé ApproximationsChapter 9 Joining Of Asymptotic ExpansionsChapter 10 Mathematical Models In Pure And Applied MathematicsChapter 11 ConclusionChapter 12 Recommended Literature