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you have to learn step by step, fundamental concept is most important thing in Mathematics, and logic analysis training is also neccessary.
You are talking the diffirent area or branch of mathematics. actrually you don't need to know so wide area in mathematics. it does not make sense at all.
常微分方程 is fundamental for differencial concept, and it was known in 18th centry, you will forget what you learned since it is not applicable in your work. nothing to do with it, Functional analysis theory is often used
in latest research works.
模糊数学, fussy , it is also a branch of mathematics to used for describ the grade of statues, it is also basic but be known in 20th centry. it is interesting,but you need have strong knowledge if you want know more detail about it.
分形理论, it is a recent branch for mathematics, it is mixture of parts of algebra theory. it is hard to deal with, if you are not good at algebra.
I think the others 模糊逻辑,数学模型,非线性动力学 just relative to mathematics. is not pure.
My suggestion , may be wrong, only be an expert of one area, or branch, if you really good at it and know how, and you have strong back ground of it. in the mean while you are not living on it, Mathematics is just interest for crazy guy who get easy life and nothing to worry about.
I hope my word won't hurt you but help you. it could burn your time for no results.
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