Mathematical Methods of Classical Physics

Nonfiction, Science & Nature, Science, Physics, Mechanics, Mathematical Physics
Cover of the book Mathematical Methods of Classical Physics by Vicente Cortés, Alexander S. Haupt, Springer International Publishing
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Author: Vicente Cortés, Alexander S. Haupt ISBN: 9783319564630
Publisher: Springer International Publishing Publication: April 26, 2017
Imprint: Springer Language: English
Author: Vicente Cortés, Alexander S. Haupt
ISBN: 9783319564630
Publisher: Springer International Publishing
Publication: April 26, 2017
Imprint: Springer
Language: English

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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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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