What is the Copyright process of publishing your own Book?

You write a book using your original works of creative authorship. In the USA and over 160 other countries of the Bern Convention, you (as the legal author) own the copyright. You can put copyright notice on your works to remind people who the owner is. Copyright is free and automatic from the moment you put your creative work into "tangible form" (e.g., pencil on paper, bits in computer memory, audio on magnetic tape, etc).

Registration is only required in the USA if you're going to sue someone for infringement, but it does provide some additional rights (e.g., suing for statutory damages).

You can optionally register your claim of copyright ownership in the US Copyright Office for a $35 online filing fee, with an online form and upload an online copy of the book. They will send you a pretty certificate that says you claim to be the owner of the copyright. They have absolutely no idea who is ACTUALLY the owner, but at least you have an official document stating your claim.

What exactly are you asking, how to copyright something or how to publish a book? Getting a copyright is one small part of publishing a book.

I publish using Amazon Kindle for ebooks and use CreateSpace for paperbacks. In either case, Amazon takes care of the copyright issues and Createspace will get you an ISBN number. Go to Amazon.com and go way to the bottom where it says "independently publish with us" to find info on both Kindle and Createspace.