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I think the title said it all, but for the sake of completeness, i rephrase it again. I want a non-repetitive(have you seen those books that tell you something over and over like they want to hammer the material into you head?!!), brief and also complete Grammar textbook for a lay person like me without any prerequisite.
The problem with your request is that grammar of the German language is not a rules-only thing (which then could be presented concisely indeed). The deeper you dive into the language, the more exceptions, peculiarities, things in the twilight zone of grammar and style etc. you discover, and in order to cover them, your book will get thicker and thicker. - If you want to learn a languahe with a crystal-clear and very straightforward grammar, better learn Turkish.
However, here is a book that perhaps fits more or less your needs:
Hermann Funk, Michael Koenig, Lutz Rohrmann: Kompaktgrammatik Deutsch als Fremdsprache zum schnellen Nachschlagen. Cornelsen 2011. ISBN 978-3-5889-01636-5
Available for 9,99 Euros. Please use your local bookstore to support local business, or if necessarily ordering by mail, stay away from the large companies that smash all other businesses and do not really pay taxes; use alternative booksellers.
By the way, in a traditional bookstore you can have a look into the books to decide if they are what you are searching for.
