Partial Diff. equations & Differential Geometry?

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SUMMARY

The discussion centers on the importance of Partial Differential Equations (PDEs) and Differential Geometry for students pursuing a combined Mathematics and Physics major. The participant emphasizes that PDEs are essential for understanding various physics topics, including Quantum Mechanics and General Relativity. They suggest that taking these mathematics classes will provide a solid foundation for graduate studies in physics, where Differential Geometry is typically covered in the context of General Relativity.

PREREQUISITES
  • Understanding of Partial Differential Equations (PDEs)
  • Familiarity with Differential Geometry concepts
  • Basic knowledge of General Relativity
  • Foundational skills in Quantum Mechanics
NEXT STEPS
  • Research applications of Partial Differential Equations in Quantum Field Theory
  • Study the mathematical foundations of General Relativity
  • Explore advanced topics in Differential Geometry
  • Investigate the role of PDEs in various physics disciplines
USEFUL FOR

This discussion is beneficial for undergraduate physics students, mathematics majors, and anyone interested in the mathematical foundations necessary for advanced studies in physics, particularly in areas like Quantum Mechanics and General Relativity.

Libohove90
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I have two classes that I think I can fit in on my last semester at university.

I am doing the combined Mathematics & Physics major. I am more interested in physics. However, the two classes I can fit, happen to be mathematics classes. PDE's seem like they are very useful for physics and differential geometry excites me becuz it's the first class where I will learn the mathematics of General Relativity.

What do you think? Or perhaps should I take electronics, atomic & nuclear physics, optics, topology I...etc.
 
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I believe that Partial Differential Equations is of the most importance to learn in an Undergraduate Physics Degree, it is used throughout every subject in Physics and even General Relativity. Assuming that you are going to get a graduate degree it is necessary that you have an understanding of Partial Differential Equations for Quantum Mechanics, Quantum Field Theory and virtually every subject. Universities usually have General Relativity as a course in a graduate degree and you'll learn Differential Geometry in that course.
 

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