Which library to choose?  or "Wire.h"?
http://en.cppreference.com/w/cpp/preprocessor/include

#include &lt;filename&gt;



  The intent of this syntax is to search for the files under control of the implementation. Typical implementations search only standard include directories. The standard C++ library and the standard C library are implicitly included in these standard include directories. The standard include directories usually can be controlled by the user through compiler options.


#include "filename"



  The intent of this syntax is to search for the files that are not controlled by the implementation. Typical implementations first search the directory where the current file resides and, only if the file is not found, search the standard include directories as with (1).


So basically it's intent is to give some idea of where the file should be.
I, myself use "" for files that are inside the directory of my program. And &lt;> for files or libraries that are in my path or other external locations.



This question is also more related to programming in general as Arduino specific.

Also see:
https://stackoverflow.com/questions/21593/what-is-the-difference-between-include-filename-and-include-filename