Dynamical Systems X: General Theory of Vortices
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2003
|
| Schriftenreihe: | Encyclopaedia of Mathematical Sciences
67 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The English teach mechanics as an experimental science, while on the Continent, it has always been considered a more deductive and a priori science. Unquestionably, the English are right. * H. Poincare, Science and Hypothesis Descartes, Leibnitz, and Newton As is well known, the basic principles of dynamics were stated by New ton in his famous work Philosophiae Naturalis Principia Mathematica, whose publication in 1687 was paid for by his friend, the astronomer Halley. In essence, this book was written with a single purpose: to prove the equivalence of Kepler's laws and the assumption, suggested to Newton by Hooke, that the acceleration of a planet is directed toward the center of the Sun and decreases in inverse proportion to the square of the distance between the planet and the Sun. For this, Newton needed to systematize the principles of dynamics (which is how Newton's famous laws appeared) and to state the "theory of fluxes" (analysis of functions of one variable). The principle of the equality of an action and a counteraction and the inverse square law led Newton to the theory of gravitation, the interaction at a distance. In addition, New ton discussed a large number of problems in mechanics and mathematics in his book, such as the laws of similarity, the theory of impact, special vari ational problems, and algebraicity conditions for Abelian integrals. Almost everything in the Principia subsequently became classic. In this connection, A. N. |
| Beschreibung: | 1 Online-Ressource (VIII, 184 p) |
| ISBN: | 9783662068007 9783642075841 |
| ISSN: | 0938-0396 |
| DOI: | 10.1007/978-3-662-06800-7 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662068007 9783642075841 |
| issn | 0938-0396 |
| language | English |
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| spelling | Kozlov, V. V. Verfasser aut Dynamical Systems X General Theory of Vortices by V. V. Kozlov Berlin, Heidelberg Springer Berlin Heidelberg 2003 1 Online-Ressource (VIII, 184 p) txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of Mathematical Sciences 67 0938-0396 The English teach mechanics as an experimental science, while on the Continent, it has always been considered a more deductive and a priori science. Unquestionably, the English are right. * H. Poincare, Science and Hypothesis Descartes, Leibnitz, and Newton As is well known, the basic principles of dynamics were stated by New ton in his famous work Philosophiae Naturalis Principia Mathematica, whose publication in 1687 was paid for by his friend, the astronomer Halley. In essence, this book was written with a single purpose: to prove the equivalence of Kepler's laws and the assumption, suggested to Newton by Hooke, that the acceleration of a planet is directed toward the center of the Sun and decreases in inverse proportion to the square of the distance between the planet and the Sun. For this, Newton needed to systematize the principles of dynamics (which is how Newton's famous laws appeared) and to state the "theory of fluxes" (analysis of functions of one variable). The principle of the equality of an action and a counteraction and the inverse square law led Newton to the theory of gravitation, the interaction at a distance. In addition, New ton discussed a large number of problems in mechanics and mathematics in his book, such as the laws of similarity, the theory of impact, special vari ational problems, and algebraicity conditions for Abelian integrals. Almost everything in the Principia subsequently became classic. In this connection, A. N. Mathematics Global analysis (Mathematics) Geometry Mechanics Analysis Statistical Physics, Dynamical Systems and Complexity Mathematik https://doi.org/10.1007/978-3-662-06800-7 Verlag Volltext |
| spellingShingle | Kozlov, V. V. Dynamical Systems X General Theory of Vortices Mathematics Global analysis (Mathematics) Geometry Mechanics Analysis Statistical Physics, Dynamical Systems and Complexity Mathematik |
| title | Dynamical Systems X General Theory of Vortices |
| title_auth | Dynamical Systems X General Theory of Vortices |
| title_exact_search | Dynamical Systems X General Theory of Vortices |
| title_full | Dynamical Systems X General Theory of Vortices by V. V. Kozlov |
| title_fullStr | Dynamical Systems X General Theory of Vortices by V. V. Kozlov |
| title_full_unstemmed | Dynamical Systems X General Theory of Vortices by V. V. Kozlov |
| title_short | Dynamical Systems X |
| title_sort | dynamical systems x general theory of vortices |
| title_sub | General Theory of Vortices |
| topic | Mathematics Global analysis (Mathematics) Geometry Mechanics Analysis Statistical Physics, Dynamical Systems and Complexity Mathematik |
| topic_facet | Mathematics Global analysis (Mathematics) Geometry Mechanics Analysis Statistical Physics, Dynamical Systems and Complexity Mathematik |
| url | https://doi.org/10.1007/978-3-662-06800-7 |
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