Principles of Compiler Design v/s Compilers: Principles, Techniques and Tools by Aho, Ullman
Although it is not quite what you are asking, I deprecated these two books when teaching compiler design as many otherwise capable students are finding them tough going. I started to focus on more practical based books. Its a matter of top-down versus bottom-up approaches to the material (not the parsing).
I now prefer Grune:
&quot;Modern Compiler Design&quot;, Grune, van Reeuwijk, Bal, Jacobs, Langendoen, Published by Springer 2012. ISBN 978-1461446989
But choosing books to recommend to students is a very personal thing and others may have other choices.

I learned from the 1971 classic &quot;Compiler Construction for Digital Computers&quot; by Gries, but not something you can use on a modern course!