Overview
- Authors:
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Igor V. Andrianov
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Pridneprovie State Academy of Civil Engineering and Architecture (PGASA), Dnepropetrovsk, Ukraine
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Leonid I. Manevitch
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N.N. Semenov Institute for Chemical Physics of Russian Academy of Sciences, Moscow, Russia
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Michiel Hazewinkel
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CWI (Center for Mathematics and Computer Science), Amsterdam, The Netherlands
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Table of contents (9 chapters)
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Front Matter
Pages i-xvii
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- Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel
Pages 1-6
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- Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel
Pages 7-39
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- Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel
Pages 41-80
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- Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel
Pages 81-102
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- Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel
Pages 103-117
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- Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel
Pages 119-127
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- Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel
Pages 129-136
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- Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel
Pages 137-178
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- Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel
Pages 179-182
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Back Matter
Pages 183-252
About this book
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.
Reviews
"[...]quite interesting and should be informative for those wishing to gain some insight into the power of asymptotic methods and their pervasiveness in applied mathematics and the physical sciences without becoming too involved in their detailed mathematical description."
(Mathematical Reviews, 2003)
Authors and Affiliations
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Pridneprovie State Academy of Civil Engineering and Architecture (PGASA), Dnepropetrovsk, Ukraine
Igor V. Andrianov
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N.N. Semenov Institute for Chemical Physics of Russian Academy of Sciences, Moscow, Russia
Leonid I. Manevitch
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CWI (Center for Mathematics and Computer Science), Amsterdam, The Netherlands
Michiel Hazewinkel
