1. Infinite Sequences and Series
2. Finite-Dimensional Vector Spaces
3. Geometry in Physics
4. Functions of a Complex Variable
5. Differential Equations
6. Hilbert Spaces
7. Linear Operators on Hilbert Space
8. Partial Differential Equations
9. Discrete Groups
10. Lie Groups and Lie Algebras
Michael T. Vaughn is Professor of Physics at Northeastern
University in Boston and well known in particle theory for his
contributions to quantum field theory especially in the derivation
of two loop renormalization group equations for the Yukowa and
scalar quartic couplings in Yang-Mills gauge theories and in softly
broken supersymmetric theories. Professor Vaughn has taught
graduate courses in mathematical physics at the University of
Pennsylvania, Indiana University and Texas A&M University as
well as at Northeastern.
"This book can serve not only as a useful reference but also as an excellent text … .Well written and highly recommended." (Zentralblatt MATH, 1132, 2008) "…an excellent resource for practicing professionals as well as researchers and faculty…" (CHOICE, December 2007)
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