Perturbation Methods in Non-Linear Systems
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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New York, NY
Springer New York
1972
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| Schriftenreihe: | Applied Mathematical Sciences
8 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| 245 | 1 | 0 | |a Perturbation Methods in Non-Linear Systems |c by Georgio Eugenio Oscare Giacaglia |
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| 500 | |a This volume is intended to provide a comprehensive treatment of recent developments in methods of perturbation for nonlinear systems of ordinary differential equations. In this respect, it appears to be a unique work. The main goal is to describe perturbation techniques, discuss their advantages and limitations and give some examples. The approach is founded on analytical and numerical methods of nonlinear mechanics. Attention has been given to the extension of methods to high orders of approximation, required now by the increased accuracy of measurements in all fields of science and technology. The main theorems relevant to each perturbation technique are outlined, but they only provide a foundation and are not the objective of these notes. Each chapter concludes with a detailed survey of the pertinent literature, supplemental information and more examples to complement the text, when necessary, for better comprehension. The references are intended to provide a guide for background information and for the reader who wishes to analyze any particular point in more detail. The main sources referenced are in the fields of differential equations, nonlinear oscillations and celestial mechanics. Thanks are due to Katherine MacDougall and Sandra Spinacci for their patience and competence in typing these notes. Partial support from the Mathematics Program of the Office of Naval Research is gratefully acknowledged | ||
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Datensatz im Suchindex
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|---|---|
| _version_ | 1820806723482419200 |
| any_adam_object | |
| author | Giacaglia, Georgio Eugenio Oscare |
| author_facet | Giacaglia, Georgio Eugenio Oscare |
| author_role | aut |
| author_sort | Giacaglia, Georgio Eugenio Oscare |
| author_variant | g e o g geo geog |
| building | Verbundindex |
| bvnumber | BV042420483 |
| classification_tum | MAT 000 |
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| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-6400-2 |
| format | Electronic eBook |
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| id | DE-604.BV042420483 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T04:23:21Z |
| institution | BVB |
| isbn | 9781461264002 9780387900544 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855900 |
| oclc_num | 863786206 |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (IX, 369 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Springer New York |
| record_format | marc |
| series | Applied Mathematical Sciences |
| series2 | Applied Mathematical Sciences |
| spellingShingle | Giacaglia, Georgio Eugenio Oscare Perturbation Methods in Non-Linear Systems Applied Mathematical Sciences Mathematics Mathematics, general Mathematik Nichtlineares System (DE-588)4042110-7 gnd Störung (DE-588)4133232-5 gnd Störungstheorie (DE-588)4128420-3 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4042110-7 (DE-588)4133232-5 (DE-588)4128420-3 (DE-588)4042095-4 (DE-588)4012249-9 |
| title | Perturbation Methods in Non-Linear Systems |
| title_auth | Perturbation Methods in Non-Linear Systems |
| title_exact_search | Perturbation Methods in Non-Linear Systems |
| title_full | Perturbation Methods in Non-Linear Systems by Georgio Eugenio Oscare Giacaglia |
| title_fullStr | Perturbation Methods in Non-Linear Systems by Georgio Eugenio Oscare Giacaglia |
| title_full_unstemmed | Perturbation Methods in Non-Linear Systems by Georgio Eugenio Oscare Giacaglia |
| title_short | Perturbation Methods in Non-Linear Systems |
| title_sort | perturbation methods in non linear systems |
| topic | Mathematics Mathematics, general Mathematik Nichtlineares System (DE-588)4042110-7 gnd Störung (DE-588)4133232-5 gnd Störungstheorie (DE-588)4128420-3 gnd Nichtlineare Mechanik (DE-588)4042095-4 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Nichtlineares System Störung Störungstheorie Nichtlineare Mechanik Differentialgleichung |
| url | https://doi.org/10.1007/978-1-4612-6400-2 |
| volume_link | (DE-604)BV040244599 |
| work_keys_str_mv | AT giacagliageorgioeugeniooscare perturbationmethodsinnonlinearsystems |