Description |
1 online resource (xx, 244 pages) |
Contents |
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 |
Summary |
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.) |
Bibliography |
Includes bibliographical references and index |
Notes |
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 |
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Online resource; title from PDF title page (Taylor & Francis, viewed April 16, 2024) |
Subject |
Engineering mathematics.
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Asymptotes.
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MATHEMATICS / General
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MATHEMATICS / Applied
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Form |
Electronic book
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Author |
Awrejcewicz, J. (Jan), author.
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ISBN |
9781003467465 |
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1003467466 |
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9781040032718 |
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1040032710 |
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9781040032770 |
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104003277X |
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