can anybody help me to build a small radio of my own with easily available parts?

Question

for listening to frequency modulation signals

Answer 1

Here is a kit that you can build:
http://www.elexp.com/kit_k118.htm

Velleman kits don't do a lot for the education of the build-er, but you'll get a working FM radio.

Here are a couple of circuits you can build from 'scratch':
http://www.circuits.8m.com/Fm-radio.htm
http://www.zen22142.zen.co.uk/Circuits/rf/fmreceiver.htm

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Answer 2

FM radios are much more complex than AM. Start off with an AM set — a good starting point is a crystal radio — and when you understand that, then progress onto FM.

But in order to understand a crystal radio, you'll need to understand alternating current and RF signaling, which is much much much more complicated than DC or digital logic. You don't stand a chance without calculus (specifically complex algebra).

If you want to get a feel for electronics, I recommend MIT's Open Courseware, which is real MIT courses freely available on the web. You'll probably benefit from 6-002 and 6-071. I took both of those courses this summer, they're really interesting. The 6-002 lecture series includes a lot of demonstrations, including a very funny Men In Black spoof about electrical noise.