The Evolution of Dynamics: Vibration Theory from 1687 to 1742:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Springer New York
1981
|
| Schriftenreihe: | Studies in the History of Mathematics and Physical Sciences
6 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-1-4613-9461-7 |
| Beschreibung: | In this study we are concerned with Vibration Theory and the Problem of Dynamics during the half century that followed the publication of Newton's Principia. The relationship that existed between these subject!! is obscured in retrospection for it is now almost impossible not to view (linear) Vibration Theory as linearized Dynamics. But during the half century in question a theory of Dynamics did not exist; while Vibration Theory comprised a good deal of acoustical information, posed definite problems and obtained specific results. In fact, it was through problems posed by Vibration Theory that a general theory of Dynamics was motivated and discovered. Believing that the emergence of Dynamics is a critically important link in the history of mathematical science, we present this study with the primary goal of providing a guide to the relevant works in the aforementioned period. We try above all to make the contents of the works readily accessible and we try to make clear the historical connections among many of the pertinent ideas, especially those pertaining to Dynamics in many degrees of freedom. But along the way we discuss other ideas on emerging subjects such as Calculus, Linear Analysis, Differential Equations, Special Functions, and Elasticity Theory, with which Vibration Theory is deeply interwound. Many of these ideas are elementary but they appear in a surprising context: For example the eigenvalue problem does not arise in the context of special solutions to linear problems- it appears as a condition for isochronous vibrations |
| Umfang: | 1 Online-Ressource (IX, 184p. 10 illus) |
| ISBN: | 9781461394617 9781461394631 |
| ISSN: | 0172-570X |
| DOI: | 10.1007/978-1-4613-9461-7 |
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| 490 | 1 | |a Studies in the History of Mathematics and Physical Sciences |v 6 |x 0172-570X | |
| 500 | |a In this study we are concerned with Vibration Theory and the Problem of Dynamics during the half century that followed the publication of Newton's Principia. The relationship that existed between these subject!! is obscured in retrospection for it is now almost impossible not to view (linear) Vibration Theory as linearized Dynamics. But during the half century in question a theory of Dynamics did not exist; while Vibration Theory comprised a good deal of acoustical information, posed definite problems and obtained specific results. In fact, it was through problems posed by Vibration Theory that a general theory of Dynamics was motivated and discovered. Believing that the emergence of Dynamics is a critically important link in the history of mathematical science, we present this study with the primary goal of providing a guide to the relevant works in the aforementioned period. We try above all to make the contents of the works readily accessible and we try to make clear the historical connections among many of the pertinent ideas, especially those pertaining to Dynamics in many degrees of freedom. But along the way we discuss other ideas on emerging subjects such as Calculus, Linear Analysis, Differential Equations, Special Functions, and Elasticity Theory, with which Vibration Theory is deeply interwound. Many of these ideas are elementary but they appear in a surprising context: For example the eigenvalue problem does not arise in the context of special solutions to linear problems- it appears as a condition for isochronous vibrations | ||
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 2067800 |
|---|---|
| _version_ | 1821931202978775040 |
| any_adam_object | |
| author | Cannon, John T. |
| author_facet | Cannon, John T. |
| author_role | aut |
| author_sort | Cannon, John T. |
| author_variant | j t c jt jtc |
| building | Verbundindex |
| bvnumber | BV042420791 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863815193 (DE-599)BVBBV042420791 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-9461-7 |
| era | Geschichte 1687 gnd |
| era_facet | Geschichte 1687 |
| format | Electronic eBook |
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| id | DE-604.BV042420791 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:43Z |
| institution | BVB |
| isbn | 9781461394617 9781461394631 |
| issn | 0172-570X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027856208 |
| oclc_num | 863815193 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (IX, 184p. 10 illus) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1981 |
| publishDateSearch | 1981 |
| publishDateSort | 1981 |
| publisher | Springer New York |
| record_format | marc |
| series | Studies in the History of Mathematics and Physical Sciences |
| series2 | Studies in the History of Mathematics and Physical Sciences |
| spellingShingle | Cannon, John T. The Evolution of Dynamics: Vibration Theory from 1687 to 1742 Studies in the History of Mathematics and Physical Sciences Mathematics Mathematics, general Theoretical, Mathematical and Computational Physics Mathematik Dynamik (DE-588)4013384-9 gnd Schwingung (DE-588)4053999-4 gnd Theorie (DE-588)4059787-8 gnd Geschichte (DE-588)4020517-4 gnd |
| subject_GND | (DE-588)4013384-9 (DE-588)4053999-4 (DE-588)4059787-8 (DE-588)4020517-4 |
| title | The Evolution of Dynamics: Vibration Theory from 1687 to 1742 |
| title_auth | The Evolution of Dynamics: Vibration Theory from 1687 to 1742 |
| title_exact_search | The Evolution of Dynamics: Vibration Theory from 1687 to 1742 |
| title_full | The Evolution of Dynamics: Vibration Theory from 1687 to 1742 by John T. Cannon, Sigalia Dostrovsky |
| title_fullStr | The Evolution of Dynamics: Vibration Theory from 1687 to 1742 by John T. Cannon, Sigalia Dostrovsky |
| title_full_unstemmed | The Evolution of Dynamics: Vibration Theory from 1687 to 1742 by John T. Cannon, Sigalia Dostrovsky |
| title_short | The Evolution of Dynamics: Vibration Theory from 1687 to 1742 |
| title_sort | the evolution of dynamics vibration theory from 1687 to 1742 |
| topic | Mathematics Mathematics, general Theoretical, Mathematical and Computational Physics Mathematik Dynamik (DE-588)4013384-9 gnd Schwingung (DE-588)4053999-4 gnd Theorie (DE-588)4059787-8 gnd Geschichte (DE-588)4020517-4 gnd |
| topic_facet | Mathematics Mathematics, general Theoretical, Mathematical and Computational Physics Mathematik Dynamik Schwingung Theorie Geschichte |
| url | https://doi.org/10.1007/978-1-4613-9461-7 |
| volume_link | (DE-604)BV000003995 |
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