Books

    1. Topics in Probability and Random Processes, Under construction.
    2. Multivariable Calculus, Preprint, 2020.
    3. Introduction to Analysis in Several Variables, Undergraduate Texts Series 46, American Math. Society, Providence RI, 2020.
    4. Introduction to Analysis in One Variable, Undergraduate Texts Series 47, American Math. Society, Providence RI, 2020.
    5. Linear Algebra, Undergraduate Texts Series 45, American Math. Society, Providence RI, 2020.
    6. Introduction to Complex Analysis, GSM 202, American Math. Society, Providence RI, 2019.
    7. The Hodge Laplacian: Boundary Value Problems on Riemannian Manifolds, with D. Mitrea, I. Mitrea, and M. Mitrea, W. de Gruyter, 2016.
    8. Introduction to Differential Equations, Undergraduate Texts Series 14, American Math. Society, Providence, R.I., 2011. (Second edition, AMS, 2022.)
    9. Measure Theory and Integration, Graduate Studies in Math. No. 76, American Math. Society, Providence, R.I., 2006.
    10. Tools for PDE: Pseudodifferential Operators, Paradifferential Operators, and Layer Potentials, Math. Surveys and Monogr, No. 81, American Math. Society, Providence, R.I., 2000.
    11. Singularities and Oscillations (ed., with J. Rauch), IMA Vol. 91, Springer-Verlag, New York, 1997.
    12. Partial Differential Equations, Vols. 1-3, Applied Math. Sciences, 115-117, Springer-Verlag, New York, 1996. (Second Edition, Springer, New York, 2011, Third Edition, Springer, New York, 2023.)
    13. Pseudodifferential Operators and Nonlinear PDE, Progress in Math. 100, Birkhauser, Boston, 1991.
    14. Noncommutative Harmonic Analysis, Math. Surveys and Monogr., No. 22, American Math. Society, Providence, R.I., 1986.
    15. Pseudodifferential Operators, Princeton Univ. Press, Princeton, N.J., 1981.

Works on Open Math Notes

  1. Short Course on Pseudodifferential Operators, Open Math Notes, 2022.
  2. The Dirichlet-to-Neumann Map and Fractal Variants, Open Math Notes, 2021.
  3. Introduction to Lie Groups, Open Math Notes, 2021.
  4. Finite and Infinite Dimensional Lie Groups and Evolution Equations, Open Math notes, 2018.