Recommended Books: Many of these books may be available at local music stores, or can be ordered on line.
Beginners:
Standard of Excellence book 1 for trumpet by Pearson or Essential Elements 2000 trumpet book 1 published by Hal Leonard
Embouchure Builder for trumpet by Lowell Little
First Book of Practical Studies for Cornet and Trumpet by Robert Getchell
Rubank Elementary Method for Cornet or Trumpet Edited by A.F. Robinson
Intermediate:
Rubank Intermediate Method for cornet or trumpet by Skornicka
Second Book of Practical Studies for cornet/trumpet by Getchell
Complete Shuebruk Lip Trainers by R. Shuebruk, pub. Carl Fischer LLC
Advanced: this is by no means a comprehensive list. It’s just a few of my favorites
Rubank Advanced Method for trumpet vol. 1 & 2
Arban Complete Conservatory Method for trumpet by J. B. Arban
Technical Studies for Trumpet/Cornet by H.L. Clark pub. Carl Fischer
Twenty Seven Groups of Exercises for Cornet and Trumpet by Earl Irons
The Allen Vizzutti Trumpet Method this is a 3 volume set. Start with book 1
Daily Drills and Technical Studies by Max Schlossberg