deRham said:The most I can see the pure math helping you is that things like finite group representation theory might come up in some advanced chemistry (I'm unfamiliar with the details).
Realistically, most of a pure math degree won't be useful to you in any direct way.
Applied math involves the use of mathematical concepts and techniques to solve real-world problems in various fields such as engineering, physics, and economics. On the other hand, pure math focuses on the theoretical aspects of mathematics, exploring abstract concepts and developing new theories and proofs.
Both applied math and pure math are important in their own ways. Applied math provides practical solutions to real-world problems, while pure math lays the foundation for further advancements in the field of mathematics.
Yes, it is possible to have a career that combines both applied math and pure math. Many researchers and mathematicians work in both areas, applying theoretical concepts to solve practical problems.
Having a strong foundation in pure math can be beneficial for understanding and applying advanced concepts in applied math. However, it is not always necessary as many applied math problems can be solved using basic mathematical principles.
Applied math has a wide range of applications in various fields such as physics, engineering, finance, and computer science. Some examples include using differential equations to model the spread of diseases, using statistics to analyze data in market research, and using optimization techniques to improve efficiency in manufacturing processes.