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what is the most difficult field of mathematics. They use this skill set to work on and improve every set of electrical equipment there is. Algebra is what I would consider the most difficult.
There are a few main major fields of math. Proof theory grew out of David Hilberts ambitious program to formalize all the proofs in mathematics. Quantum mechanics is the branch of physics developed to challenge and find solutions to problems unanswered by classical.
It is the nitty gritty algebra at the end that always causes me trouble.
Algebra is what I would consider the most difficult. Top 10 Most Difficult Subjects to Study. Most modern research can be split into algebra analysis or topology. Hence its no surprise that it makes it to this list of hardest college majors.