I chose pure mathematics over applied and computational mathematics because it allows me to explore foundational theories behind practical advancements. While abstract, pure math drives innovation in fields like cryptography, data security, and AI, playing a vital role in real-world applications. It also enhances critical thinking and offers adaptability to tackle emerging challenges.
This is an interesting question. The answer depends on what exactly do you mean by "an area of life". I studied pure mathematics and specialized in Geometry, but I have 2 applications of my studies / research:
1. Geometry software.
2. Designing of 3D printed twisty puzzles.
This might seem flippant after the previous two answers, but I use optimal choice theory when finding bread with the best sell-by date at the supermarket without looking at every loaf (roughly, you can examine a proportion of 1/e, about 37%, of them and be confident that you got a good deal). And exponential thinking helps you to cool your tea down in time and make your money grow.
Of course. Theoretical Computer Science, image processing, AI, cryptology, etc. are mostly based on pure mathematics, specifically algebra. In space research, topology is necessary. In data science real analysis is needed. Besides these, in many many aspects pure mathematics topics are linked to area of life.
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