How do I advance step by step my interests in financial mathematics and mathematical economics?

First, you should know why ( it's very important) ex: why i need to study financial mathematics .. Or mathematical economics, you must connect to reality simply to know how it relates and how it affects ... when you get the answer of that question in your mind! be sure, you will be interested in it .

Ms Siham Amer - I have been seeing all the Questions you are raising. The Q are rather profound and need in-depth answers. I have not been able to respond due to time constraints - it requires a lot of effort to answer even one of your Q.

However, I am keen to see the answeres - if some knowledgeable friend-in-th-profession has responded.  

I'm not able to find the link to locate where all your Q are. 

Could you please help.

Thanks for invitation,

I do believe that, the only way is to enroll in a specialized training course, in addition to self-studying some books like: "Made Simple Series".

Hi friend, as you need to know both simultaneously, the best way to pursue a course like CFA (Certified Financial Analyst). This course covers both the subjects deeply. Really this is an advanced course and you will get the real benefit once you complete it. To get the certification, you may need some experience and educational requirement. 

Would you please clarifiy your question