1. Geometric Mechanics on Riemannian Manifolds, with Applications to Partial Differential Equations

2. Geometric Analysis on Heisenberg Manifolds and Generalizations

3. Sub-Riemannian Geometry -- Theory and examples

4. Heat Kernels-- Methods and Techniques

5. An Introduction to Vectorial Geometry

6. Wp-Calculus, An Introduction to Formal Languages

7. Euclidean and Non-Euclidean Geometry: A metric approach

8. Geometric Modeling in Probability and Statistics

9. An Informal Introduction to Stochastic Calculus with Applications

Heat Kernels for Elliptic and Sub-elliptic Operators

Published by Birkhauser, Fall 2010 (with Chang, D-C, Furutani, K., and Iwasaki, C.)