Better illustration of Closures?

This might not seem particularly useful when you have access to the entire code base or when you do not have reusability in mind, but it is incredibly powerful and useful when trying to separate out logic into different, reusable modules that can be implemented in parallel by different developers. If you were to simply read the pattern strings from the file, every single module would have to be aware of this file and pass around that annoying list of pattern strings. And if you changed your system so that the pattern strings came from a URL instead of from a file, it could completely break your entire codebase. On the other hand, if you processing logic simply takes a callback function or several call back functions, and then you have another module that constructs the functions dynamically using content from a file, then only the component that constructs the functions needs to change. That is the power of being able to create functions dynamically.

Decorators are an example of closures. For example,

def decorate(f):
    def wrapped_function():
        print("Function is being called")
        f()
        print("Function call is finished")
    return wrapped_function

@decorate
def my_function():
    print("Hello world")

my_function()

The function wrapped_function is a closure, because it retains access to the variables in its scope--in particular, the parameter f, the original function. Closures are what allow you to access it.

Closures also allow you to retain state across calls of a function, without having to resort to a class:

def make_counter():
    next_value = 0
    def return_next_value():
        nonlocal next_value
        val = next_value
        next_value += 1
        return val
    return return_next_value

my_first_counter = make_counter()
my_second_counter = make_counter()
print(my_first_counter())
print(my_second_counter())
print(my_first_counter())
print(my_second_counter())
print(my_first_counter())
print(my_second_counter())

Also, bound methods are technically closures (though they're probably implemented differently). Bound methods are class member functions with their class baked in:

import sys
w = sys.stdout.write
w("Hello\n")

w is essentially a closure with a reference to the sys.stdout object.

Finally, I haven't read that book, but a quick read of the chapter you linked and I'm very unimpressed--it's so horribly roundabout that it's useless as an explanation of closures.