I am looking for a book explained how to make a computer by using Arm core processors?
What sort of thing did you have mind? Do you mean something like how to make a desktop style device out of Beagle board?
My question is about build a computer without SoC ICs and FPGAs. Is it possible? how?
Have you had a look at
Getting started with Arm Microcontroller Resources
If you really want to make your own thing then the mbed.org website might be a place to look at, for instance you'll find this nice little DIP there plus lots of other straightforward starter boards and software for microcontroller board development
LPC1114FN28 | mbed
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