Table of Contents

1: Basic Principles
2: Reductionism, Phenomena and Models
3: Stability, Existence and Uniqueness
4: Theorems on Order
5: Critical Phenomena and Scaling Theory
6: Mayer Virial Expansions and Groenevelt's Theorems
7: Ree-Hoover Virial Expansion and Hard Spheres
8: High Density Expansions
9: High Temperature Expansions for Magnets at H=0
10: The Ising Model in Two Dimensions; Summary of Results
11: The Pfaffian Solution of the Ising Model
12: Ising Model Spontaneous Magnetization, Form Factors and Susceptibility
13: The Star-Triangle (Yang-Baxter) Equation
14: The Eight Vertex and XYZ models
15: The RSOS and the Chiral Potts models
16: Conclusion

About the Author

Barry M. McCoy is currently Distinguished Professor of Physics at C.N.Yang Institute for Theoretical Physics, at the State University of New York. He took his PhD at Harvard University in 1967, and has since had various positions, including the Editorial Board of the Ramanujan Journal, the Editorial Board of Journal of Physics A, Resident at the Bellagio Conference and Study Center of the Rockefeller Foundation, and Miller Professor at University of California at
Berkeley. In 1999 he won the Dannie Heineman Prize for Mathematical Physics.