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If you don't have the cash to shell out for this book right now, you can simply head on over to the Wikipedia article on the stethoscope. The book and the article basically agree about the general outline of the stethoscope's development, with Blaufox giving us excruciating details of the failed designs and 19th debates over who invented what first that took place in the letters pages of journals like The Lancet.
influenza and technology
It's interesting to note that from the 1920s to the invention of electronics, the only real developments in stethoscope design came in materials. But what's even more interesting is that, prior to the Bowles-Sprague model of the 1920s, there wasn't much development in design going back to the start of the 20th century, the pre-WWI era. Between the 19th century and the 1920s, we had a world war and a massive world-wide outbreak of respiratory illness in the form of the Spanish Flu. Yet, no real developments in the primary instrument at doctors' disposal for assessing the heart and lungs. I don't really have an explanation for this, but I think it is odd.
Nice photos of antique stethoscopes can be seen at Phisick Medical Antiques and more books on antique medical devices here.