Essentials of Hamiltonian dynamics:
Classical dynamics is one of the cornerstones of advanced education in physics and applied mathematics, with applications across engineering, chemistry and biology. In this book, the author uses a concise and pedagogical style to cover all the topics necessary for a graduate-level course in dynamics...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2012
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Classical dynamics is one of the cornerstones of advanced education in physics and applied mathematics, with applications across engineering, chemistry and biology. In this book, the author uses a concise and pedagogical style to cover all the topics necessary for a graduate-level course in dynamics based on Hamiltonian methods. Readers are introduced to the impressive advances in the field during the second half of the twentieth century, including KAM theory and deterministic chaos. Essential to these developments are some exciting ideas from modern mathematics, which are introduced carefully and selectively. Core concepts and techniques are discussed, together with numerous concrete examples to illustrate key principles. A special feature of the book is the use of computer software to investigate complex dynamical systems, both analytically and numerically. This text is ideal for graduate students and advanced undergraduates who are already familiar with the Newtonian and Lagrangian treatments of classical mechanics. The book is well suited to a one-semester course, but is easily adapted to a more concentrated format of one-quarter or a trimester. A solutions manual and introduction to Mathematica are available online at www.cambridge.org/Lowenstein |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiii, 188 pages) |
| ISBN: | 9780511793721 |
| DOI: | 10.1017/CBO9780511793721 |
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| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 505 | 8 | |a Machine generated contents note: 1. Fundamentals of classical dynamics; 2. Hamiltonian formalism; 3. Integrable systems; 4. Canonical perturbation theory; 5. Order and chaos in Hamiltonian systems; 6. The swing-spring; Appendix: Mathematica samples; Index | |
| 520 | |a Classical dynamics is one of the cornerstones of advanced education in physics and applied mathematics, with applications across engineering, chemistry and biology. In this book, the author uses a concise and pedagogical style to cover all the topics necessary for a graduate-level course in dynamics based on Hamiltonian methods. Readers are introduced to the impressive advances in the field during the second half of the twentieth century, including KAM theory and deterministic chaos. Essential to these developments are some exciting ideas from modern mathematics, which are introduced carefully and selectively. Core concepts and techniques are discussed, together with numerous concrete examples to illustrate key principles. A special feature of the book is the use of computer software to investigate complex dynamical systems, both analytically and numerically. This text is ideal for graduate students and advanced undergraduates who are already familiar with the Newtonian and Lagrangian treatments of classical mechanics. The book is well suited to a one-semester course, but is easily adapted to a more concentrated format of one-quarter or a trimester. A solutions manual and introduction to Mathematica are available online at www.cambridge.org/Lowenstein | ||
| 650 | 4 | |a Hamiltonian systems | |
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Datensatz im Suchindex
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| author | Lowenstein, John H. 1941- |
| author_facet | Lowenstein, John H. 1941- |
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| author_sort | Lowenstein, John H. 1941- |
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| contents | Machine generated contents note: 1. Fundamentals of classical dynamics; 2. Hamiltonian formalism; 3. Integrable systems; 4. Canonical perturbation theory; 5. Order and chaos in Hamiltonian systems; 6. The swing-spring; Appendix: Mathematica samples; Index |
| ctrlnum | (ZDB-20-CBO)CR9780511793721 (OCoLC)1073584964 (DE-599)BVBBV043943151 |
| dewey-full | 531/.11 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
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| dewey-search | 531/.11 |
| dewey-sort | 3531 211 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1017/CBO9780511793721 |
| format | Electronic eBook |
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| id | DE-604.BV043943151 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:19Z |
| institution | BVB |
| isbn | 9780511793721 |
| language | English |
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| physical | 1 online resource (xiii, 188 pages) |
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| publishDate | 2012 |
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| publisher | Cambridge University Press |
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| spelling | Lowenstein, John H. 1941- Verfasser aut Essentials of Hamiltonian dynamics John H. Lowenstein Cambridge Cambridge University Press 2012 1 online resource (xiii, 188 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Machine generated contents note: 1. Fundamentals of classical dynamics; 2. Hamiltonian formalism; 3. Integrable systems; 4. Canonical perturbation theory; 5. Order and chaos in Hamiltonian systems; 6. The swing-spring; Appendix: Mathematica samples; Index Classical dynamics is one of the cornerstones of advanced education in physics and applied mathematics, with applications across engineering, chemistry and biology. In this book, the author uses a concise and pedagogical style to cover all the topics necessary for a graduate-level course in dynamics based on Hamiltonian methods. Readers are introduced to the impressive advances in the field during the second half of the twentieth century, including KAM theory and deterministic chaos. Essential to these developments are some exciting ideas from modern mathematics, which are introduced carefully and selectively. Core concepts and techniques are discussed, together with numerous concrete examples to illustrate key principles. A special feature of the book is the use of computer software to investigate complex dynamical systems, both analytically and numerically. This text is ideal for graduate students and advanced undergraduates who are already familiar with the Newtonian and Lagrangian treatments of classical mechanics. The book is well suited to a one-semester course, but is easily adapted to a more concentrated format of one-quarter or a trimester. A solutions manual and introduction to Mathematica are available online at www.cambridge.org/Lowenstein Hamiltonian systems Dynamics Hamilton-Formalismus (DE-588)4376155-0 gnd rswk-swf Hamilton-Formalismus (DE-588)4376155-0 s 1\p DE-604 Erscheint auch als Druckausgabe 978-1-107-00520-4 https://doi.org/10.1017/CBO9780511793721 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lowenstein, John H. 1941- Essentials of Hamiltonian dynamics Machine generated contents note: 1. Fundamentals of classical dynamics; 2. Hamiltonian formalism; 3. Integrable systems; 4. Canonical perturbation theory; 5. Order and chaos in Hamiltonian systems; 6. The swing-spring; Appendix: Mathematica samples; Index Hamiltonian systems Dynamics Hamilton-Formalismus (DE-588)4376155-0 gnd |
| subject_GND | (DE-588)4376155-0 |
| title | Essentials of Hamiltonian dynamics |
| title_auth | Essentials of Hamiltonian dynamics |
| title_exact_search | Essentials of Hamiltonian dynamics |
| title_full | Essentials of Hamiltonian dynamics John H. Lowenstein |
| title_fullStr | Essentials of Hamiltonian dynamics John H. Lowenstein |
| title_full_unstemmed | Essentials of Hamiltonian dynamics John H. Lowenstein |
| title_short | Essentials of Hamiltonian dynamics |
| title_sort | essentials of hamiltonian dynamics |
| topic | Hamiltonian systems Dynamics Hamilton-Formalismus (DE-588)4376155-0 gnd |
| topic_facet | Hamiltonian systems Dynamics Hamilton-Formalismus |
| url | https://doi.org/10.1017/CBO9780511793721 |
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