| Abstract | 第4页 |
| 1 Literature Review | 第6-14页 |
| 1.1 Introduction | 第6-7页 |
| 1.2 The research history and present situation of Diophantine approximation | 第7-14页 |
| 2 Khintchine type and the Groshev type of the theory | 第14-23页 |
| 3 Preliminary Knowledge | 第23-28页 |
| 3.1 Definition of Diophantine approximation and its symbolic representation | 第23-25页 |
| 3.2 Non-homogeneous transformation principle | 第25-28页 |
| 4 (C,α)-good Function and Its Qualitative | 第28-35页 |
| 5 The Non-homogeneous Groshev Convergence theorem for DiophantineApproximation on Manifolds | 第35-43页 |
| 5.1 Decomposition of sets under convergence | 第35-36页 |
| 5.2 Proof of theorem | 第36-43页 |
| 6 Non-homogeneous Diophantine Approximation with ParametricVariables | 第43-45页 |
| Summary | 第45-46页 |
| Acknowledgements | 第46-47页 |
| References | 第47-52页 |
| Publications | 第52页 |
