Newbie question: the essence of embedded world!!!

Hi everybody , iam glad to join this cool site

this is my first post here

iam totally newbie in the embedded system area , i have a computer
engineering degree and iam deeply interested in advanced programming and
software development , advanced to me means something more interesting than
mainstream database programs which i don't like at all but i have been
doing for a couple years.

and when i knew it's time for doing something more interesting i heared of
embedded systems world . and i have many wonders about it which i hope u
can help me find out.

i heared embedded programming needs to be more effecient and accurate
since the resources are limited and the platform is specific but also i
read too many things about design and architecture are far away from my
programming and software interests
i have had a good theoritical electronics background in college,just
theoritical, but iam not i can be good at electronic circuit design or
hardware area in general.

so here are my wonders :

Does writing firmware and embedded development include real programming
challenges? such as algorithmic thinking , maths ? or it is more about
electronic engineering ?

How deep do i need to be good in Electronics and circuit design ? is it
more programming or more electronic engineering and circuit design? i mean
, is embedded development fun ? like software programming is ?

can i focusing only on software stuff in embedded development environment
? or i always have to get involved in design and architecture ?


Thank you very mych
Regards......


.

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