I am learning Ruby Singletons and i found some ways to define and get list of Class and Object singleton methods.
Ways to define 
Object singleton methods
instance_eval
class A
end
a = A.new
a.instance_eval do
def v 
"asd"
end
end
 a.singleton_methods
 => [:z, :v] 
                                                                        Some more ways:
Class singleton methods
class << MyClass
  define_method :sixth_sing_method do
    puts "sixth"
  end
end
class MyClass
  class << self
    define_method :fourth_sing_method do
      puts "seventh"
    end
  end
end
Object singleton methods
class << obj
  define_method :fourth_sing_method do
    puts "fourth"
  end
end
Next, you can use define_method and define_singleton_method in combination with send, e.g.
obj.send :define_singleton_method, :nth_sing_method, lambda{ puts "nth" }
and all possible combinations thereof. To use define_method, you need to capture the singleton class first as in this (the same works for class objects, too)
singleton_class = class << obj; self end
singleton_class.send :define_method, :nth_sing_method, lambda{ puts "nth" }
Another ways is using class_eval on the singleton class objects:
singleton_class.class_eval do
  def nth_sing_method
    puts "nth"
  end
end
And then you once again may combine send with class_eval...
There are myriads of ways, I guess :)
First of all, the way to list singleton methods is with singleton_methods. The methods method returns a list of the names of public and protected methods of the object. Also, it is defined in the Object class. Try extending an instance. It is one of the most elegant ways, as it supports code reuse and seems to me very object-oriented:
class Foo
  def bar
    puts "Hi"
  end
end
module Bar
  def foo
    puts "Bye"
  end
end
f = Foo.new
f.bar
#=> hi
f.extend Bar
f.foo
#=> bye
f.methods(false)
#=> []
# the module we extended from is not a superclass
# therefore, this must be empty, as expected
f.singleton_methods
#=> ["foo"]
# this lists the singleton method correctly
g = Foo.new
g.foo
#=> NoMethodError
Edit: In the comment you asked why methods(false) returns nothing in this case. After reading through the C code it seems that:
methods returns all the methods available for the object (also the ones in included modules)singleton_methods returns all the singleton methods for the object (also the ones in included modules) (documentation)singleton_methods(false) returns all the singleton methods for the object, but not those declared in included modulesmethods(false) supposedly returns the singleton methods by calling singleton_methods, but it also passes the parameter false to it; whether this is a bug or a feature - I do not knowHopefully, this clarifies the issue a little. Bottom line: call singleton_methods, seems more reliable.