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170502 ||| eng |
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|a 9783319564630
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|a Cortés, Vicente
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| 245 |
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|a Mathematical Methods of Classical Physics
|h Elektronische Ressource
|c by Vicente Cortés, Alexander S. Haupt
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| 250 |
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|a 1st ed. 2017
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2017, 2017
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| 300 |
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|a XI, 99 p
|b online resource
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| 505 |
0 |
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|a Introduction -- Lagrangian mechanics -- Hamiltonian mechanics -- Hamilton-Jacobi theory -- Classical field theory -- Exercises -- References -- Index
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| 653 |
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|a Classical Mechanics
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| 653 |
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|a Mathematical Methods in Physics
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| 653 |
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|a Mathematical Physics
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| 653 |
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|a Mathematical physics
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| 653 |
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|a Physics
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| 653 |
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|a Mechanics
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| 700 |
1 |
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|a Haupt, Alexander S.
|e [author]
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 490 |
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|a SpringerBriefs in Physics
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-319-56463-0?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 531
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| 520 |
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|a This short primer, geared towards students with a strong interest in mathematically rigorous approaches, introduces the essentials of classical physics, briefly points out its place in the history of physics and its relation to modern physics, and explains what benefits can be gained from a mathematical perspective. As a starting point, Newtonian mechanics is introduced and its limitations are discussed. This leads to and motivates the study of different formulations of classical mechanics, such as Lagrangian and Hamiltonian mechanics, which are the subjects of later chapters. In the second part, a chapter on classical field theories introduces more advanced material. Numerous exercises are collected in the appendix
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