Questions tagged [mathematical-physics]

For questions regarding the mathematical aspects of physics.

Mathematics plays a huge role in physics to model phenomena. Most theories include a mathematical framework from which predictions can be made.

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Examples of Physical Discoveries with no Counterpart in Mathematics

Throughout the history of mathematics and physics, there has been many examples where mathematics was discovered first prior to its application in physics. Consider $i=\sqrt {-1}$ as an example, among many others. I am interested to know about…
Josh
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Did Euler or did d'Alembert incorporate initial conditions into the solution to the 1D wave equation?

My question is: Who is responsible for incorporating the initial conditions into the one dimensional wave equation solution? References or technical information would be appreciated, especially regarding the development of the integral…
user45664
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What was the first physical theory to be mathematically expressed?

Newton's theory of gravitation is expressed as a mathematical relationship between distances and masses. It can be deduced from Kepler's equations (which are also mathematical). Are there even older physical theories formulated by equations?
user16484
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Which were the first PhD thesis in Mathematics and Physics?

Were there PhD thesis in the time of Galileo and Newton? Did Newton and Galileo make a PhD thesis? Due to the poor level of science (before calculus and so on), were PhD thesis made in math and physics?
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Did physics resulted in invention of maths or vice a versa

Did physics resulted in invention of maths or Maths resulted in invention of physics ??