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whats the main differences and which one one would help get into grad school? I am looking into pure math and quite possibly physics as well.
The discussion clarifies the distinctions between pure mathematicians and applied mathematicians, emphasizing that pure mathematicians focus on theoretical aspects, theorems, and proofs, while applied mathematicians concentrate on practical applications, computations, and algorithms. For graduate school, pursuing pure mathematics is advantageous for those interested in mathematics, whereas applied mathematics is preferable for those aiming for physics. The conversation highlights that applied mathematicians can secure lucrative positions in industries such as finance, while pure mathematicians typically earn lower salaries. Key areas mentioned include real analysis for pure math and numerical analysis for applied math.
PREREQUISITESStudents considering graduate studies in mathematics or physics, educators in mathematics, and professionals evaluating career paths in pure or applied mathematics.