The Variational Principles of Mechanics:
Analytical mechanics is much more than an efficient tool for the solution of dynamical problems encountered in physics and engineering. There is hardly a branch of the mathematical sciences in which abstract rigorous speculation and experimental evidence go together so beautifully and support each o...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Toronto
University of Toronto Press
[2020]
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| Schriftenreihe: | Heritage
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| Schlagworte: | |
| Online-Zugang: | FAW01 FHA01 FKE01 FLA01 UPA01 FAB01 FCO01 URL des Erstveröffentlichers |
| Zusammenfassung: | Analytical mechanics is much more than an efficient tool for the solution of dynamical problems encountered in physics and engineering. There is hardly a branch of the mathematical sciences in which abstract rigorous speculation and experimental evidence go together so beautifully and support each other so perfectly. Professor Lanczos's book is not a textbook on advances mechanics. Its purpose is to formulate and explain these fundamental concepts of this exact science which started with the work of Galileo and led to the achievements of modern relativity theory and quantum theory. "There is a tremendous treasure of philosophical meaning behind the great theories of Euler and Lagrange, and of Hamilton and Jacobi, which is complete smothered in a purely formalistic treatment," writes the author, "although it cannot fail to be a source of the greatest intellectual enjoyment to every mathematically minded person." To give the student a chance to discover for himself the hidden beauty of these theories was one of the foremost intentions of the author. He has led the reader through the entire historical development, included problems to familiarize the student with the new concepts and illustrate the general principles involved. For the most part, however, the author's aim is not to teach the solving of problems but rather to help the reader gain insight into the structure and significance of classical mechanics. The second edition adds a new chapter, "Relativistic Mechanics." |
| Beschreibung: | Description based on online resource; title from PDF title page (publisher's Web site, viewed 05. Mai 2020) |
| Beschreibung: | 1 online resource (396 pages) |
| ISBN: | 9781487583057 |
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| 520 | |a Analytical mechanics is much more than an efficient tool for the solution of dynamical problems encountered in physics and engineering. There is hardly a branch of the mathematical sciences in which abstract rigorous speculation and experimental evidence go together so beautifully and support each other so perfectly. Professor Lanczos's book is not a textbook on advances mechanics. Its purpose is to formulate and explain these fundamental concepts of this exact science which started with the work of Galileo and led to the achievements of modern relativity theory and quantum theory. "There is a tremendous treasure of philosophical meaning behind the great theories of Euler and Lagrange, and of Hamilton and Jacobi, which is complete smothered in a purely formalistic treatment," writes the author, "although it cannot fail to be a source of the greatest intellectual enjoyment to every mathematically minded person." To give the student a chance to discover for himself the hidden beauty of these theories was one of the foremost intentions of the author. He has led the reader through the entire historical development, included problems to familiarize the student with the new concepts and illustrate the general principles involved. For the most part, however, the author's aim is not to teach the solving of problems but rather to help the reader gain insight into the structure and significance of classical mechanics. The second edition adds a new chapter, "Relativistic Mechanics." | ||
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Datensatz im Suchindex
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T14:31:27Z |
| indexdate | 2024-07-10T08:51:49Z |
| institution | BVB |
| isbn | 9781487583057 |
| language | English |
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| spelling | Lanczos, Cornelius Verfasser aut The Variational Principles of Mechanics Cornelius Lanczos Toronto University of Toronto Press [2020] © 1949 1 online resource (396 pages) txt rdacontent c rdamedia cr rdacarrier Heritage Description based on online resource; title from PDF title page (publisher's Web site, viewed 05. Mai 2020) Analytical mechanics is much more than an efficient tool for the solution of dynamical problems encountered in physics and engineering. There is hardly a branch of the mathematical sciences in which abstract rigorous speculation and experimental evidence go together so beautifully and support each other so perfectly. Professor Lanczos's book is not a textbook on advances mechanics. Its purpose is to formulate and explain these fundamental concepts of this exact science which started with the work of Galileo and led to the achievements of modern relativity theory and quantum theory. "There is a tremendous treasure of philosophical meaning behind the great theories of Euler and Lagrange, and of Hamilton and Jacobi, which is complete smothered in a purely formalistic treatment," writes the author, "although it cannot fail to be a source of the greatest intellectual enjoyment to every mathematically minded person." To give the student a chance to discover for himself the hidden beauty of these theories was one of the foremost intentions of the author. He has led the reader through the entire historical development, included problems to familiarize the student with the new concepts and illustrate the general principles involved. For the most part, however, the author's aim is not to teach the solving of problems but rather to help the reader gain insight into the structure and significance of classical mechanics. The second edition adds a new chapter, "Relativistic Mechanics." In English SCIENCE / Mechanics / Dynamics bisacsh Variationsrechnung (DE-588)4062355-5 gnd rswk-swf Mechanik (DE-588)4038168-7 gnd rswk-swf Variationsprinzip (DE-588)4062354-3 gnd rswk-swf Mechanik (DE-588)4038168-7 s Variationsrechnung (DE-588)4062355-5 s 1\p DE-604 Variationsprinzip (DE-588)4062354-3 s 2\p DE-604 https://www.degruyter.com/isbn/9781487583057 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lanczos, Cornelius The Variational Principles of Mechanics SCIENCE / Mechanics / Dynamics bisacsh Variationsrechnung (DE-588)4062355-5 gnd Mechanik (DE-588)4038168-7 gnd Variationsprinzip (DE-588)4062354-3 gnd |
| subject_GND | (DE-588)4062355-5 (DE-588)4038168-7 (DE-588)4062354-3 |
| title | The Variational Principles of Mechanics |
| title_auth | The Variational Principles of Mechanics |
| title_exact_search | The Variational Principles of Mechanics |
| title_exact_search_txtP | The Variational Principles of Mechanics |
| title_full | The Variational Principles of Mechanics Cornelius Lanczos |
| title_fullStr | The Variational Principles of Mechanics Cornelius Lanczos |
| title_full_unstemmed | The Variational Principles of Mechanics Cornelius Lanczos |
| title_short | The Variational Principles of Mechanics |
| title_sort | the variational principles of mechanics |
| topic | SCIENCE / Mechanics / Dynamics bisacsh Variationsrechnung (DE-588)4062355-5 gnd Mechanik (DE-588)4038168-7 gnd Variationsprinzip (DE-588)4062354-3 gnd |
| topic_facet | SCIENCE / Mechanics / Dynamics Variationsrechnung Mechanik Variationsprinzip |
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