The first volume of the Chinese edition of this book was published in July 1997， and the second volume was published in June 2000. In July 2000， upon the readers' request， we corrected several typographical errors and republished the first volume.In this edition， minor typographical errors are corrected， and a small paragraph has been added to section 5.5.4 in Chapter 5， while the remaining text is unchanged.We would like to take this opportunity to express our sincere thanks to our teachers，friends， and readers for their encouragement and support.
作者簡介
Tatsien Li is a Professor in the School of Mathematical Sciences at Fudan University in Shanghai. He is a member of the Chinese Academy of Saences and a foreign member of the French Academy of Sciences.Tiehu Qin is a Professor in the School of Mathematical Sciences at Fudan University in Shanghai.
圖書目錄
Preface to the English Edition Preface to the Clunese Edition 1 Electrodynanucs 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 ldealFluid Dynamics 2.2 System of Viscous Fluid Dynamics 2.3 Navier-Stokes Equations 2.4 Shock Waves 2.5 System of One-Dimensional F1uid Dynamics in LagrangianRepresentation Exercises Bibliography 3 Magnetohydrodynamics 3.1 Plasma 3.2 System of Magnetohydrodynamics 3.3 System of Magnetohydrodynamics When the Conductivity lnfinite 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 Elastodynanucs 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; Intemal 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
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