Introduction to asymptotics: a treatment using nonstandard analysis
Many branches of science and engineering involve applications of mathematical analysis. An important part of applied analysis is asymptotic approximation which is, therefore, an active area of research with new methods and publications being found constantly. This book gives an introduction to the s...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c1997
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | Many branches of science and engineering involve applications of mathematical analysis. An important part of applied analysis is asymptotic approximation which is, therefore, an active area of research with new methods and publications being found constantly. This book gives an introduction to the subject sufficient for scientists and engineers to grasp the fundamental techniques, both those which have been known for some time and those which have been discovered more recently. The asymptotic approximation of both integrals and differential equations is discussed and the discussion includes hyperasymptotics as well as uniform asymptotics. There are many numerical examples to illustrate the relation between theory and practice. Exercises in the chapters enable the book to be used as a text for an introductory course |
| Physical Description: | x, 165 p. ill |
| ISBN: | 9789812779373 |
Staff View
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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 |
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| dewey-sort | 3511.4 |
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| discipline | Mathematik |
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| id | DE-604.BV044635300 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:46Z |
| institution | BVB |
| isbn | 9789812779373 |
| language | English |
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| physical | x, 165 p. ill |
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| publishDate | 1997 |
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| publisher | World Scientific Pub. Co. |
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| spelling | Jones, D. S. Verfasser aut Introduction to asymptotics a treatment using nonstandard analysis D.S. Jones Singapore World Scientific Pub. Co. c1997 x, 165 p. ill txt rdacontent c rdamedia cr rdacarrier Many branches of science and engineering involve applications of mathematical analysis. An important part of applied analysis is asymptotic approximation which is, therefore, an active area of research with new methods and publications being found constantly. This book gives an introduction to the subject sufficient for scientists and engineers to grasp the fundamental techniques, both those which have been known for some time and those which have been discovered more recently. The asymptotic approximation of both integrals and differential equations is discussed and the discussion includes hyperasymptotics as well as uniform asymptotics. There are many numerical examples to illustrate the relation between theory and practice. Exercises in the chapters enable the book to be used as a text for an introductory course Asymptotic expansions Asymptotik (DE-588)4126634-1 gnd rswk-swf Nonstandard-Analysis (DE-588)4137021-1 gnd rswk-swf Asymptotik (DE-588)4126634-1 s Nonstandard-Analysis (DE-588)4137021-1 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810229153 Erscheint auch als Druck-Ausgabe 9810229151 http://www.worldscientific.com/worldscibooks/10.1142/3333#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jones, D. S. Introduction to asymptotics a treatment using nonstandard analysis Asymptotic expansions Asymptotik (DE-588)4126634-1 gnd Nonstandard-Analysis (DE-588)4137021-1 gnd |
| subject_GND | (DE-588)4126634-1 (DE-588)4137021-1 |
| title | Introduction to asymptotics a treatment using nonstandard analysis |
| title_auth | Introduction to asymptotics a treatment using nonstandard analysis |
| title_exact_search | Introduction to asymptotics a treatment using nonstandard analysis |
| title_full | Introduction to asymptotics a treatment using nonstandard analysis D.S. Jones |
| title_fullStr | Introduction to asymptotics a treatment using nonstandard analysis D.S. Jones |
| title_full_unstemmed | Introduction to asymptotics a treatment using nonstandard analysis D.S. Jones |
| title_short | Introduction to asymptotics |
| title_sort | introduction to asymptotics a treatment using nonstandard analysis |
| title_sub | a treatment using nonstandard analysis |
| topic | Asymptotic expansions Asymptotik (DE-588)4126634-1 gnd Nonstandard-Analysis (DE-588)4137021-1 gnd |
| topic_facet | Asymptotic expansions Asymptotik Nonstandard-Analysis |
| url | http://www.worldscientific.com/worldscibooks/10.1142/3333#t=toc |
| work_keys_str_mv | AT jonesds introductiontoasymptoticsatreatmentusingnonstandardanalysis |