Reddit mentions of An Introduction to the Psychology of Hearing: Sixth Edition

I don't know the answer but I do believe this might be a book that does. There is a fairly comprehensive chapter on the perception of loudness including the effect of bandwidth, loudness over time, detection of changes/modulation of loudness etc.

I believe the Weber-Fechner law is the starting point for the study of change in stimulus intensity detection in 'all' senses (although apparently it doesn't quite fit when applied to sound)

A study that demonstrates the difference between the perception of loudness and the Weber-Fechner law is here There are other studies but this might get you on the way towards an answer.

I like this question.

Beginner:

• Neuroscience: Exploring the Brain (I don't like this text, but it's fairly accessible to beginners.)
  
  
• Auditory Neuroscience
  
  
• Musicophilia
  
  Student:
  
  
• Neuroscience
  
  
• MATLAB for Neuroscientists
  
  
• An Introduction to the Psychology/Physiology of Hearing (sorry, that was cheating)
  
  Expert:
  
  
• Principles of Neural Science
  
  
• Spikes
  
  
• Signal Detection Theory and Psychophysics
  

The best books on this topic are these:
http://www.amazon.com/Introduction-Physiology-Hearing-Third-Edition/dp/0120885212

and

http://www.amazon.com/An-Introduction-Psychology-Hearing-Edition/dp/9004252428