李大潜和秦铁虎编著的《物理学与偏微分方程上》内容介绍：The fundamental equations in many important physical and mechanical disciplines are partial differential equations. Although the names of these equations are well known,and although a considerable amount of research has been done on these equations, it is not an easy task to comprehensively and profoundly understand the related physical and mechanical background.

Preface to the English Edition

Preface to the Chinese Edition

1 Electrodynamics

 1.1 Introduction

 1.2 Preliminaries

 1.3 Maxwell's Equations in a Vacuum; Lorentz Force

 1.4 Electromagnetic Energy and Momentum; Conservation and

 Transformation Laws of Energy and Momentum

 1.5 Mathematical Structure of Maxwell's Equations; Wave Effect of

 Electromagnetic Fields

 1.6 Scalar Potential and Vector Potential of an Electromagnetic Field

 1.7 Maxwell's Equations in a Medium

 1.8 Electrostatic Fields and Magnetostatic Fields

 1.9 Darwin Model

 Exercises

 Bibliography

2 Fluid Dynamics

 2.1 System of Ideal Fluid Dynamics

 2.2 System of Viscous Fluid Dynamics

 2.3 Navier-Stokes Equations

 2.4 Shock Waves

 2.5 System of One-Dimensional Fluid Dynamics in

 Lagrangian Representation

 Exercises

 Bibliography

3 Magnetohydrodynamies

 3.1 Plasma

 3.2 System of Magnetohydrodynamics

 3.3 System of Magnetohydrodynamics When the

 Conductivity σ Is Infinite

 3.4 Mathematical Structure of Magnetohydrodynamics System

 3.5 System of One-Dimensional Magnetohydrodynamics ...

 Exercises

 Bibliography

4 Reacting Fluid Dynamics

 4.1 Introduction

 4.2 System of Reacting Fluid Dynamics

 4.3 System of One-Dimensional Reacting Fluid Dynamics...

 Exercises

 Bibliography

5 Elastic Mechanics

 5.1 Introduction

 5.2 Description of Deformation; Strain Tensor

 5.3 Conservation Laws; Stress Tensor

 5.4 Constitutive Equation: Relationship Between Stress and

 Deformation

 5.5 System of Elastodynamics and Its Mathematical Structure .

 5.6 Well-Posed Problems of the System of Elastostatics

 Exercises

 Bibliography

Appendix A Cartesian Tensor

 A.1 Definition of Tensor

 A.2 Operations of Tensor

 A.3 Invariants of the Second-Order Symmetric Tensor

 A.4 Isotropic Tensor

 A.5 Differentiation of Tensor

Appendix B Overview of Thermodynamics

 B.1 Objective of the Study of Thermodynamics

 B.2 The First Law of Thermodynamics; Internal Energy

 B.3 The Second Law of Thermodynamics; Entropy

 B.4 Legendre Transform

 B.5 Thermodynamic Functions

 B.6 Expressions of Internal Energy and Entropy

Index