Number theory or intro to topology for comp sci/math

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The discussion centers on the decision between taking introductory topology or number theory as part of a dual degree in mathematics and computer science, with a focus on scientific computing. Key points include the relevance of number theory to encryption and security, though its applicability can vary based on the specific course content. Conversely, topology is considered essential for a well-rounded mathematical education, contributing to general mathematical culture, but its direct usefulness in scientific computing is questioned. Ultimately, the choice may depend on the individual's career goals and interests in areas like computational complexity, algorithms, and medical robotics.
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I'm pursuing dual degrees in mathematics and computer science with a concentration in scientific computing and am trying to decide whether I should take intro to topology or number theory.

Interests in no order are computational complexity, P=NP?, physics engines, graphics engines, geometry, linear algebra, computational science, medical robotics, algorithms, etc. I've already taken or am planning to take any related courses. Any advice on which course might be more pertinent?
 
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Number theory MIGHT be useful to you in encryption and security. But there are no guarantees, it depends on the course.

I feel, however, that every math major should take topology. It's one of the courses you should know for "general culture". I don't think it will be useful to scientific computing though.
 

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