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附件：华中科大数学中心招博士生2019.pdf

    In addition to usually required courses for doctoral studies, the following core courses are also provided:   

1. Nonlinear Dynamical Systems
    Textbook: Introduction to Applied Nonlinear Dynamical Systems and Chaos, Stephen Wiggins.

2. Numerics of Partial Differential Equations  

    Textbook: Numerical Solution of Partial Differential Equations, K. W. Morton & D. Mayers.
    Bibliography: Numerical Solution of partial differential equations by the finite element method, C. Johnson.

3. Dynamics of Nonlinear Partial Differential Equations  

   Textbook: Nonlinear PDEs: Dynamical Systems Approach, G. Schneider & H. Uecker

4. Stochastic Partial Differential Equations  

   Textbook: Stochastic PDEs, second edition, P. L. Chow;

                    Effective Dynamics of SPDEs, J. Duan & W. Wang.

5. Malliavin Calculus
    Textbook: Introduction to Malliavin Calculus(Malliavin随机变分引论), Shizan Fang(方诗赞).

6. Differentiable Manifolds & Riemannian Geometry
   Textbook: 微分几何讲义(第二版), 陈省身&陈维桓.

                   An Introduction to Differentiable Manifolds and Riemannian Geometry, W. M. Boothby.

7. Differentiable Topology

   Textbook: Differential Topology, M. W. Hirsch,.

8. Semigroup Theory
    Textbook: Evolution Semigroups in Dynamical Systems and Differential Equations, C. Chicone & Y. Latushkin.

9.Classical Mechanics
   Textbook: Mathematical Methods of Classical Mechanics, second edition, V. I. Arnold.

10. Statistical Mechanics
    Textbook: A Modern Course in Statistical Physics, second edition, L. E. Reichl.