Here's a list of Trumpet Method Books I like to use:

• Standard of Excellence - Bruce Pearson
• Mitchell on Trumpet Books 1-4 - Harold "Pappy" Mitchell
• First Book of Practical Studies for Cornet and Trumpet - Robert W. Getchell
• Arban's Complete Conservatory Method for Trumpet - JB Arban
• Easy Jazz Conception -- Trumpet: 15 Solo Etudes for Jazz Phrasing, Interpretation, and Improvisation - Jim Snidero

For theory:

• Standard Wirebound Manuscript Paper (Green Cover) - Hal Leonard
• Berklee Music Theory

Sergei Nakariakov

From the fine open access dissertation regarding Laurie Frink's Method of Trumpet Instruction:

A taxonomy of Laurie's exercises (click here to download):

Five exercises for trumpet.

Thank you Mark Stackhausen.

Click here if you don't see the PDF below.