This book doesn't touch on trumpet in a technical sense but boy is it inspirational: Terry Teachout's biography Pops: A Life of Louis Armstrong. I am sure this book has been mentioned on TM many times (I'm pretty new). It's the coolest biography I've read in years. Armstrong was an incredible human being and a creative genius. Wynton Marsalis isn't kidding when he insists on the importance of knowing Armstrong's music.