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I'm looking to understand the mathematics of ballistics,
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Hatcher's Notebook has a chapter with the equations and tables, the way it had to be done before computers.
I have seen recommended but do not own:
Rifle Accuracy Facts
This book by Harold R. Vaughn is the successor to the classic work "The Bullets Flight", by Dr. Mann; and is the result of many years of research and experimentation. The book covers internal ballistics, barrel vibration, chamber and throat design, muzzle blast effects, bullet core problems, external ballistics and many other chapters. Harold vaughn built a 100 yard tunnel for his testing and used a rail gun, shadow graphs, and other sophisticated equipment to research this project. Harold vaughn is not a backyard researcher. His background includes a MS in Aerodynamics and 35 years of work at the Sandia National Laboratories with 30 years as the Supervisor in the Aeroballistic division.
Understanding Firearms Ballistics
This revised edition of the much acclaimed Understanding Ballistics , written by Robert Rinker, is expanded from 270 to 430 pages. The text has been improved and broadened with up-to-date information. Included are explanations of terminal ballistics, wind deflection, trajectory, ballistic co-efficients, velocity and drag and much more. The revised edition contains more formulas, more detailed examples, more charts and sketches and more technical details. The text is written in a clear understandable fashion by a shooter who knows shooters. The mathematical equations are provided, but the text is written so the reader can get the information without doing the math if he wishes.
New Exact Smallarms Ballistics, the Source Book for Riflemen.
Arthur J. Pejsa. Concise text makes ballistic theory and the laws of physics comprehensible to the average rifleman, and shows how to apply them to achieve improved accuracy. Help you predict precise bullet trajectories out to extreme ranges, with detailed data for many cartridges.
I don't know that these will teach you everything you want to know, but they are what is available through shooting sources.
There is also some explanatory material on the Sierra website.