在《广义相对论与牛顿引力理论基础》中，作者介绍了广义相对论的基本逻辑数学结构，并讨论广义相对论的基础及其与牛顿引力理论的关系，比如牛顿理论的几何化（也称为牛顿-卡坦理论）、广义相对论中的旋转概念和哥德尔时空等。此书不仅适合数学物理的学生与研究者阅读，对科学哲学的研究人员也极有价值。此书获得了2014年拉卡托斯奖。

1.Differential Geometry
1.1 Manifolds
1.2 Tangent Vectors
1.3 Vector Fields, Integral Curves, and Flows
1.4 Tensors and Tensor Fields on Manifolds
1.5 The Action of Smooth Maps on Tensor Fields
1.6 Lie Derivatives
1.7 Derivative Operators and Geodesics
1.8 Curvature
1.9 Metrics
1.10 Hypersurfaces
1.11 Volume Elements
2.Classical Relativity Theory
2.1 Relativistic Spacetimes
2.2 Temporal Orientation and 〝Causal Connectibility"
2.3 Proper Time
2.4 Space/Time Decomposition at a Point and Particle Dynamics
2.5 The Energy-Momentum Field Tab
2.6 Electromagnetic Fields
2.7 Einstein's Equation
2.8 Fluid Flow
2.9 Killing Fields and Conserved Quantities
2.10 The Initial Value Formulation
2.11 Friedmann Spacetimes
3.Special Topics
3.1 Godel Spacetime
3.2 Two Criteria of Orbital (Non-) Rotation
3.3 A No-Go Theorem about Orbital (Non-) Rotation
4.Newtonian Gravitation Theory
4.1 Classical Spacetimes
4.2 Geometrized Newtonian Theory—First Version
4.3 Interpreting the Curvature Conditions
4.4 A Solution to an Old Problem about Newtonian Cosmology
4.5 Geometrized Newtonian Theory—Second Version
Solutions to Problems
Bibliography
Index