  This is the first of a series of papers in which we present a brief
introduction to the relevant mathematical and physical ideas that form the
foundation of Particle Physics, including Group Theory, Relativistic Quantum
Mechanics, Quantum Field Theory and Interactions, Abelian and Non-Abelian Gauge
Theory, and the SU(3)xSU(2)xU(1) Gauge Theory that describes our universe apart
from gravity. These notes are not intended to be a comprehensive introduction
to any of the ideas contained in them. Among the glaring omissions are CPT
theorems, evaluations of Feynman Diagrams, Renormalization, and Anomalies. The
topics were chosen according to the authors preferences and agenda. These notes
are intended for a student who has completed the standard undergraduate physics
and mathematics courses. Furthermore, these notes should not and will not in
any way take the place of the related courses, but rather provide a primer for
detailed courses in QFT, Gauge Theory, String Theory, etc., which will fill in
the many gaps left by this paper.
