EAN: 9783319564623

SPRINGERBRIEFS IN PHYSICS MATHEMATICAL METHOD...

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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