Mathematics for Physics I and II Lecture Notes
Michael Stone, Physics Dept., University of Illinois at Urbana-Champaign
Preface
These notes cover the material from the first and second half of a two-semester sequence
of mathematical methods courses given to first year physics graduate
students at the University of Illinois. They consist of three loosely connected
parts: i) an introduction to modern \calculus on manifolds", the exterior
differential calculus, and algebraic topology; ii) an introduction to group representation
theory and its physical applications; iii) a fairly standard course
on complex variables.
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