Asymptotic Methods for Engineers is based on the authors’ many years of practical experience in the application of asymptotic methods to solve engineering problems.
This book is devoted to modern asymptotic methods (AM), which is widely used in engineering, applied sciences, physics, and applied mathematics. Avoiding complex formal calculations and justifications, the book’s main goal is to describe the main ideas and algorithms. Moreover, not only is there a presentation of the main AM, but there is also a focus on demonstrating their unity and inseparable connection with the methods of summation and asymptotic interpolation.
The book will be useful for students and researchers from applied mathematics and physics and of interest to doctoral and graduate students, university and industry professors from various branches of engineering (mechanical, civil, electro-mechanical, etc.).
Chapter 1 Asymptotic Approximations And Series
Chapter 2 Regular Asymptotic Expansions
Chapter 3 Singular Asymptotic Expansions
Chapter 4 Dynamic Edge Effect Method
Chapter 5 Continualization
Chapter 6 Averaging And Homogenization Methods
Chapter 7 Summation Of Asymptotic Series
Chapter 8 Applications Of Padé Approximations
Chapter 9 Joining Of Asymptotic Expansions
Chapter 10 Mathematical Models In Pure And Applied Mathematics
Chapter 11 Conclusion
Chapter 12 Recommended Literature
Biography
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.
