Books by UNC Math Faculty

Math faculty members at UNC have written a number of books. Here is a list, and pictures of some of their covers. For authors of more than one book, you can click on the name to see the covers of all their books. You can also click on each title to see the table of contents.

Idris Assani

• Wiener Wintner Ergodic Theorems, World Scientific, Singapore, 2003.

Ivan Cherednik

• Basic Methods of Soliton Theory, World Scientific, Singapore, 1996.
• Double Affine Hecke Algebras, Cambridge Univ. Press, 2005.

Joseph Cima

• The backward Shift on the Hardy Space (with W. T. Ross), AMS Math Surveys and Monogr. #79, Providence, RI, 2000.
• Cauchy Transforms of Measures on the Unit Circle (with A. Matheson and W. T. Ross), AMS Math. Surveys and Monogr. #125, Providence, RI, 2006.

Patrick Eberlein

• The Geometry of Nonpositively Curved Manifolds, Univ. of Chicago Press, 1996.

Sue Goodman

• Beginning Topology, Paul Sally Undergraduate Series, Brooks/Cole, Belmont, CA, 2004.

Shrawan Kumar

• Kac-Moody Groups, Their Flag Varieties, and Representation Theory, Progress in Math. #204, Birkhauser, Boston, 2002.
• Frobenius Splitting Methods in Geometry and Representation Theory (with M. Brion), Progress in Math. #231, Birkhauser, Boston, 2004.

Mark McCombs

• Math 110, Kendall/Hunt Publishing Co., Dubuque, Iowa, 2006.

Karl Petersen

• Brownian Motion, Hardy Spaces, and Bounded Mean Oscillation, LMS Lecture Notes #28, Cambridge Univ. Press, 1977.
• Ergodic Theory, Cambridge Univ. Press, 1989.

Michael Taylor

• Pseudodifferential Operators, Princeton Univ. Press, Princeton, NJ, 1981.
• Noncommutative Harmonic Analysis, AMS Math. Surveys and Monogr. #22, Providence, RI, 1986.
• Pseudodifferential Operators and Nonlinear PDE, Progress in Math. #100, Birkhauser, Boston, 1991.
• Partial Differential Equations I, Basic Theory, Appl. Math. Sciences #115, Springer-Verlag, NY, 1996.
• Partial Differential Equations II, Qualitative Studies of Linear Equations, Appl. Math. Sciences #116, Springer-Verlag, NY, 1996.
• Partial Differential Equations III, Nonlinear Equations, Appl. Math. Sciences #117, Springer-Verlag, NY, 1996.
• Tools for PDE, Math. Surveys and Monogr. #81, AMS, Providence, RI, 2000.
• Measure Theory and Integration, Graduate Studies in Math. #76, AMS, Providence, RI, 2006.
• Introduction to Differential Equations, Undergraduate Math Series, AMS, Providence, RI, to appear.

Alexander Varchenko

• Singularities of Differentiable Mappings I, Classification of Critical Points and Wave Fronts (with V. Arnold and S. Gusein-Zade), Birkhauser, Boston, 1985.
• Singularities of Differentiable Mappings II, Monodromy and Asymptotics of Integrals (with V. Arnold and S. Gusein-Zade), Birkhauser, Boston, 1988.
• Why the Boundary of a Round Drop Becomes a Curve of Order Four (with P. Etingoff), Univ. Lecture Series, AMS, Providence, RI, 1992.
• Multidimensional Hypergeometric Functions and Representation Theory of Quantum Groups, World Scientific, Singapore, 1995.
• Geometry of q-Hypergeometric Functions, Quantum Affine Algebras, and Elliptic Quantum Groups, Asterisque #241, Soc. Math. de France, 1997.
• Special Functions, KZ Type Equations, and Representation Theory, CBMS Reg. Conf. Ser. #98, AMS, Providence, RI, 2003.