Asymptotology: Ideas, Methods, and Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Springer US
2002
|
| Schriftenreihe: | Mathematics and Its Applications
551 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Asymptotic methods belong to the, perhaps, most romantic area of modern mathematics. They are widely known and have been used in mechanics, 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 marvelous, 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 methods. Most of them presume a mathematically sophisticated reader. The authors here attempt to describe asymptotic methods on a more accessible 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 detail the results of their application to various branches of knowledge- from astronomy, mechanics, and physics to biology, psychology and art. The book is supplemented by several appendices, one of which contains the profound ideas of R. G. |
| Beschreibung: | 1 Online-Ressource (XVIII, 252 p) |
| ISBN: | 9781441991621 9781461348160 |
| DOI: | 10.1007/978-1-4419-9162-1 |
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| 500 | |a Asymptotic methods belong to the, perhaps, most romantic area of modern mathematics. They are widely known and have been used in mechanics, 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 marvelous, 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 methods. Most of them presume a mathematically sophisticated reader. The authors here attempt to describe asymptotic methods on a more accessible 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 detail the results of their application to various branches of knowledge- from astronomy, mechanics, and physics to biology, psychology and art. The book is supplemented by several appendices, one of which contains the profound ideas of R. G. | ||
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Datensatz im Suchindex
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| author | Andrianov, Igor V. |
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| dewey-full | 511.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.4 |
| dewey-search | 511.4 |
| dewey-sort | 3511.4 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4419-9162-1 |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9781441991621 9781461348160 |
| language | English |
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| series2 | Mathematics and Its Applications |
| spelling | Andrianov, Igor V. Verfasser aut Asymptotology Ideas, Methods, and Applications by Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel Boston, MA Springer US 2002 1 Online-Ressource (XVIII, 252 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 551 Asymptotic methods belong to the, perhaps, most romantic area of modern mathematics. They are widely known and have been used in mechanics, 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 marvelous, 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 methods. Most of them presume a mathematically sophisticated reader. The authors here attempt to describe asymptotic methods on a more accessible 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 detail the results of their application to various branches of knowledge- from astronomy, mechanics, and physics to biology, psychology and art. The book is supplemented by several appendices, one of which contains the profound ideas of R. G. Mathematics Approximations and Expansions Applications of Mathematics History of Mathematical Sciences Mathematik Manevitch, Leonid I. Sonstige oth Hazewinkel, Michiel Sonstige oth Mathematics and Its Applications 551 (DE-604)BV008163334 551 https://doi.org/10.1007/978-1-4419-9162-1 Verlag Volltext |
| spellingShingle | Andrianov, Igor V. Asymptotology Ideas, Methods, and Applications Mathematics and Its Applications Mathematics Approximations and Expansions Applications of Mathematics History of Mathematical Sciences Mathematik |
| title | Asymptotology Ideas, Methods, and Applications |
| title_auth | Asymptotology Ideas, Methods, and Applications |
| title_exact_search | Asymptotology Ideas, Methods, and Applications |
| title_full | Asymptotology Ideas, Methods, and Applications by Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel |
| title_fullStr | Asymptotology Ideas, Methods, and Applications by Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel |
| title_full_unstemmed | Asymptotology Ideas, Methods, and Applications by Igor V. Andrianov, Leonid I. Manevitch, Michiel Hazewinkel |
| title_short | Asymptotology |
| title_sort | asymptotology ideas methods and applications |
| title_sub | Ideas, Methods, and Applications |
| topic | Mathematics Approximations and Expansions Applications of Mathematics History of Mathematical Sciences Mathematik |
| topic_facet | Mathematics Approximations and Expansions Applications of Mathematics History of Mathematical Sciences Mathematik |
| url | https://doi.org/10.1007/978-1-4419-9162-1 |
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