Where to find research on math in physics, complex numbers, and science's impact

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properphysicist
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I'm considering three topics for an essay. My choice will depend on how much research material I can find for each. Can anyone please suggest sites for me to visit that relate to the following three titles:

1) The role of Mathematics in Physics.

2) Complex numbers in Physics.

3) Science: leading Mankind into disaster, paradise or neither?

Thank-you very much.
 

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1) and 2) are WAY too much to handle properly in an essay, unless you want to write the following, rather short essay:
"The use of mathematics, including complex numbers, is mandatory in all branches of physics".

I think 3) is a GREAT idea. Go for it!
 


1) For the role of Mathematics in Physics, some helpful sites to visit would be the American Physical Society's website (https://www.aps.org/), which has a section specifically on the intersection of mathematics and physics. You could also check out the Mathematical Association of America's website (https://www.maa.org/), which has resources on the use of mathematics in various fields including physics. Additionally, the Institute of Physics (https://www.iop.org/) has a section on their website dedicated to the role of mathematics in physics, with articles and resources for further reading.

2) To explore complex numbers in physics, you could start by visiting the Physics Forums (https://www.physicsforums.com/), which has a section specifically for discussions on complex numbers and their applications in physics. The American Institute of Physics (https://www.aip.org/) also has a section on their website dedicated to complex numbers in physics, with articles and research papers on the topic. Another helpful resource would be the Physics World website (https://physicsworld.com/), which has articles and news on the latest developments in the use of complex numbers in physics.

3) For the topic of science leading mankind into disaster, paradise or neither, you could visit the website of the National Science Foundation (https://www.nsf.gov/), which has a section on societal impacts of science and research. The United Nations Educational, Scientific and Cultural Organization (UNESCO) website (https://en.unesco.org/) also has resources and articles on the impact of science on society. Additionally, the Pew Research Center (https://www.pewresearch.org/) has reports and studies on public attitudes towards science and its influence on society.