Andrianov I., Awrejcewicz J. Asymptotic Methods for Engineers 2024 torrent

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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.).
Preface.
Notations and Abbreviations.
Used special functions and constants.
Authors.
Introduction: From the principle of idealization to asymptotology.
ASYMPTOTIC APPROXIMATIONS AND SERIES.
REGULAR ASYMPTOTIC EXPANSIONS.
SINGULAR ASYMPTOTIC EXPANSIONS.
DYNAMIC EDGE EFFECT METHOD.
CONTINUALIZATION.
AVERAGING AND HOMOGENIZATION METHODS.
SUMMATION OF ASYMPTOTIC SERIES.
APPLICATIONS OF PAD´E APPROXIMATIONS.
JOINING OF ASYMPTOTIC EXPANSIONS.
USING OF SPECIAL NONSMOOTH TRANSFORMATIONS.
MATHEMATICAL MODELS IN PURE AND APPLIED MATHEMATICS.
CONCLUSION.
RECOMMENDED LITERATURE.
References.
Index