Analytical Mechanics:
Analytical mechanics is the foundation of many areas of theoretical physics including quantum theory and statistical mechanics, and has wide-ranging applications in engineering and celestial mechanics. This introduction to the basic principles and methods of analytical mechanics covers Lagrangian an...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2018
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| Edition: | English edition |
| Subjects: | |
| Online Access: | BSB01 FHN01 Volltext |
| Summary: | Analytical mechanics is the foundation of many areas of theoretical physics including quantum theory and statistical mechanics, and has wide-ranging applications in engineering and celestial mechanics. This introduction to the basic principles and methods of analytical mechanics covers Lagrangian and Hamiltonian dynamics, rigid bodies, small oscillations, canonical transformations and Hamilton-Jacobi theory. This fully up-to-date textbook includes detailed mathematical appendices and addresses a number of advanced topics, some of them of a geometric or topological character. These include Bertrand's theorem, proof that action is least, spontaneous symmetry breakdown, constrained Hamiltonian systems, non-integrability criteria, KAM theory, classical field theory, Lyapunov functions, geometric phases and Poisson manifolds. Providing worked examples, end-of-chapter problems, and discussion of ongoing research in the field, it is suitable for advanced undergraduate students and graduate students studying analytical mechanics |
| Item Description: | Title from publisher's bibliographic system (viewed on 01 Aug 2018) |
| Physical Description: | 1 online resource (xiii, 459 pages) |
| ISBN: | 9781108241489 |
| DOI: | 10.1017/9781108241489 |
Staff View
MARC
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| 245 | 1 | 0 | |a Analytical Mechanics |c Nivaldo A. Lemos |
| 250 | |a English edition | ||
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| 500 | |a Title from publisher's bibliographic system (viewed on 01 Aug 2018) | ||
| 505 | 8 | |a Lagrangian dynamics -- Hamilton's variational principle -- Kinematics of rotationalmotion -- Dynamics of rigid bodies -- Small oscillations -- Relativistic mechanics -- Hamiltonian dynamics -- Canonical transformations -- The Hamilton-Jacobi theory -- Hamiltonian perturbation theory -- Classical field theory | |
| 520 | |a Analytical mechanics is the foundation of many areas of theoretical physics including quantum theory and statistical mechanics, and has wide-ranging applications in engineering and celestial mechanics. This introduction to the basic principles and methods of analytical mechanics covers Lagrangian and Hamiltonian dynamics, rigid bodies, small oscillations, canonical transformations and Hamilton-Jacobi theory. This fully up-to-date textbook includes detailed mathematical appendices and addresses a number of advanced topics, some of them of a geometric or topological character. These include Bertrand's theorem, proof that action is least, spontaneous symmetry breakdown, constrained Hamiltonian systems, non-integrability criteria, KAM theory, classical field theory, Lyapunov functions, geometric phases and Poisson manifolds. Providing worked examples, end-of-chapter problems, and discussion of ongoing research in the field, it is suitable for advanced undergraduate students and graduate students studying analytical mechanics | ||
| 650 | 4 | |a Mechanics, Analytic | |
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Record in the Search Index
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| author | Lemos, Nivaldo A. 1952- |
| author_facet | Lemos, Nivaldo A. 1952- |
| author_role | aut |
| author_sort | Lemos, Nivaldo A. 1952- |
| author_variant | n a l na nal |
| building | Verbundindex |
| bvnumber | BV045188718 |
| classification_rvk | UF 1000 |
| collection | ZDB-20-CBO |
| contents | Lagrangian dynamics -- Hamilton's variational principle -- Kinematics of rotationalmotion -- Dynamics of rigid bodies -- Small oscillations -- Relativistic mechanics -- Hamiltonian dynamics -- Canonical transformations -- The Hamilton-Jacobi theory -- Hamiltonian perturbation theory -- Classical field theory |
| ctrlnum | (ZDB-20-CBO)CR9781108241489 (OCoLC)1053841754 (DE-599)BVBBV045188718 |
| dewey-full | 531.01/515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.01/515 |
| dewey-search | 531.01/515 |
| dewey-sort | 3531.01 3515 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1017/9781108241489 |
| edition | English edition |
| format | Electronic eBook |
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| id | DE-604.BV045188718 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T08:11:02Z |
| institution | BVB |
| isbn | 9781108241489 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030577891 |
| oclc_num | 1053841754 |
| open_access_boolean | |
| owner | DE-12 DE-92 |
| owner_facet | DE-12 DE-92 |
| physical | 1 online resource (xiii, 459 pages) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO_Kauf |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Lemos, Nivaldo A. 1952- Verfasser aut Mecânica analítica Analytical Mechanics Nivaldo A. Lemos English edition Cambridge Cambridge University Press 2018 1 online resource (xiii, 459 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 01 Aug 2018) Lagrangian dynamics -- Hamilton's variational principle -- Kinematics of rotationalmotion -- Dynamics of rigid bodies -- Small oscillations -- Relativistic mechanics -- Hamiltonian dynamics -- Canonical transformations -- The Hamilton-Jacobi theory -- Hamiltonian perturbation theory -- Classical field theory Analytical mechanics is the foundation of many areas of theoretical physics including quantum theory and statistical mechanics, and has wide-ranging applications in engineering and celestial mechanics. This introduction to the basic principles and methods of analytical mechanics covers Lagrangian and Hamiltonian dynamics, rigid bodies, small oscillations, canonical transformations and Hamilton-Jacobi theory. This fully up-to-date textbook includes detailed mathematical appendices and addresses a number of advanced topics, some of them of a geometric or topological character. These include Bertrand's theorem, proof that action is least, spontaneous symmetry breakdown, constrained Hamiltonian systems, non-integrability criteria, KAM theory, classical field theory, Lyapunov functions, geometric phases and Poisson manifolds. Providing worked examples, end-of-chapter problems, and discussion of ongoing research in the field, it is suitable for advanced undergraduate students and graduate students studying analytical mechanics Mechanics, Analytic Theoretische Mechanik (DE-588)4185100-6 gnd rswk-swf Theoretische Mechanik (DE-588)4185100-6 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, hardback 9781108416580 https://doi.org/10.1017/9781108241489 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lemos, Nivaldo A. 1952- Analytical Mechanics Lagrangian dynamics -- Hamilton's variational principle -- Kinematics of rotationalmotion -- Dynamics of rigid bodies -- Small oscillations -- Relativistic mechanics -- Hamiltonian dynamics -- Canonical transformations -- The Hamilton-Jacobi theory -- Hamiltonian perturbation theory -- Classical field theory Mechanics, Analytic Theoretische Mechanik (DE-588)4185100-6 gnd |
| subject_GND | (DE-588)4185100-6 |
| title | Analytical Mechanics |
| title_alt | Mecânica analítica |
| title_auth | Analytical Mechanics |
| title_exact_search | Analytical Mechanics |
| title_full | Analytical Mechanics Nivaldo A. Lemos |
| title_fullStr | Analytical Mechanics Nivaldo A. Lemos |
| title_full_unstemmed | Analytical Mechanics Nivaldo A. Lemos |
| title_short | Analytical Mechanics |
| title_sort | analytical mechanics |
| topic | Mechanics, Analytic Theoretische Mechanik (DE-588)4185100-6 gnd |
| topic_facet | Mechanics, Analytic Theoretische Mechanik |
| url | https://doi.org/10.1017/9781108241489 |
| work_keys_str_mv | AT lemosnivaldoa mecanicaanalitica AT lemosnivaldoa analyticalmechanics |