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Asymptotology: Ideas, Methods, and Applications: 551 (Mathematics and Its Applications, 551) - Hardcover

Andrianov, Igor V.; Manevitch, Leonid I.

 
9781402009600: Asymptotology: Ideas, Methods, and Applications: 551 (Mathematics and Its Applications, 551)
Hardcover
ISBN 10: 1402009607 ISBN 13: 9781402009600
Publisher: Springer, 2002

Synopsis

Asymptotic methods belong to the, perhaps, most romantic area of modern mathematics. They are widely known and have been used in me­ chanics, physics and other exact sciences for many, many decades. But more than this, asymptotic ideas are found in all branches of human knowledge, indeed in all areas of life. In this broader context they have not and perhaps cannot be fully formalized. However, they are mar­ velous, they leave room for fantasy, guesses and intuition; they bring us very near to the border of the realm of art. Many books have been written and published about asymptotic meth­ ods. Most of them presume a mathematically sophisticated reader. The authors here attempt to describe asymptotic methods on a more accessi­ ble level, hoping to address a wider range of readers. They have avoided the extreme of banishing formulae entirely, as done in some popular science books that attempt to describe mathematical methods with no mathematics. This is impossible (and not wise). Rather, the authors have tried to keep the mathematics at a moderate level. At the same time, using simple examples, they think they have been able to illustrate all the key ideas of asymptotic methods and approaches, to depict in de­ tail the results of their application to various branches of knowledg- from astronomy, mechanics, and physics to biology, psychology and art. The book is supplemented by several appendices, one of which con­ tains the profound ideas of R. G.

"synopsis" may belong to another edition of this title.

About the Author

Igor V. Andrianov was born in the Ukraine (former Soviet Union (fSU)) in 1948. He obtained his Master of Applied Mechanics degree from Dnepropetrovsk State University (DSU, Ukraine) in 1971, his PhD in Structural Mechanics from the DSU in 1975, and his DSc in Mechanics of Solids from the Moscow State Institute of Electronics and Mathematics in 1990. From 1974 to 1977, he was a Research Scientist at the DSU, from 1977 to 1990, an Associate Professor, and from 1990 to 1997, a Full Professor of Mathematics at Dnepropetrovsk Civil Engineering Institute. From 2006 to 2013 he was a Research Scientist at RWTH Aachen University (Germany). Andrianov is the author or co-author of 14 books and more than 300 papers in peer-reviewed journals. He has presented papers at more than 150 international congresses, conferences, and seminars, and also supervised 21 PhD students. Selected as a Soros Professor (1996). His research interests include Mechanics of Solids, Mechanics of Composite Materials, Nonlinear Dynamics, and Asymptotic Methods.

Jan Awrejcewicz, Head of the Department of Automation, Biomechanics and Mechatronics, Head of Ph.D. School on 'Mechanics' (since 1996) and of graduate/postgraduate programs on Mechatronics (since 2006). Recipient of multi-doctor honoris causa and the Humboldt Award. Author/co-author of over 730 journal papers and refereed international conference papers and 48 monographs. Editor of 22 books and 26 journal special issues. Principal investigator in 39 research grants by Polish Ministry of Education and Science (21), Committee for Scientific Research (17), National Science Centre (2). Member of Editorial Boards of 74 Journals (15 with IF). Organizer and Head of the series of 14 International Conferences Dynamical Systems-Theory and Application (Lodz, 1992-2017) and of 3 Inter
national Conferences "Mechatronics: Ideas for Industrial Applications" (Warsaw 2012; Lodz, 2014; Gdansk, 2015), Chair of the "International Conference of the Polish Society of Biomechanics" (Lodz, 2014). 
Research interest:  His papers and research cover various disciplines of mathematics, mechanics, biomechanics, automatics, physics and computer oriented sciences, with main focus on nonlinear processes.
Vladyslav V. Danishevskyy obtained his Masters (1996), Ph.D. (1999), and Doctor of Sciences (2008) degrees in Structural Mechanics from Prydniprovska State Academy of Civil Engineering and Architecture, Ukraine. He is a Full Professor at this Academy. He has authored 3 monographs and over 50 journal papers refereed by SCOPUS. Among his awards are Soros Post-Graduate Student's Award (1997), Prize of the National Academy of Sciences of Ukraine for the best academic achievement among young scientists (2000), Alexander von Humboldt Founda
tion Research Fellowship (2001), NATO Research Fellowship (2003), NATO Reintegration Grant (2005), institutional academic co-operation grant of the Alexander von Humboldt Foundation (2007), research grant of the German Research Foundation (2014), Marie-Curie Research Fellowship by the European Union's Horizon 2020 research and innovation programme (2015). He has conducted long-term research abroad in RWTH Aachen University, Germany (2001-2002), in the University of Rouen, France (2003-2004), and in Keele University, UK (2015- 2017). His research interests cover mechanics of heterogeneous media and structures, asymptotic methods, nonlinear dynamics.

From the Back Cover

Asymptotic methods belong to the, perhaps, most romantic area of modern mathematics. They are widely known and have been used in me­ chanics, physics and other exact sciences for many, many decades. But more than this, asymptotic ideas are found in all branches of human knowledge, indeed in all areas of life. In this broader context they have not and perhaps cannot be fully formalized. However, they are mar­ velous, they leave room for fantasy, guesses and intuition; they bring us very near to the border of the realm of art. Many books have been written and published about asymptotic meth­ ods. Most of them presume a mathematically sophisticated reader. The authors here attempt to describe asymptotic methods on a more accessi­ ble level, hoping to address a wider range of readers. They have avoided the extreme of banishing formulae entirely, as done in some popular science books that attempt to describe mathematical methods with no mathematics. This is impossible (and not wise). Rather, the authors have tried to keep the mathematics at a moderate level. At the same time, using simple examples, they think they have been able to illustrate all the key ideas of asymptotic methods and approaches, to depict in de­ tail the results of their application to various branches of knowledg- from astronomy, mechanics, and physics to biology, psychology and art. The book is supplemented by several appendices, one of which con­ tains the profound ideas of R. G.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2002
Language
English
ISBN 10 
1402009607
ISBN 13 
9781402009600
Binding
Hardcover
Number of pages
252