物理学与偏微分方程-(上册) 本书特色
now available in english for the first time， physics and
partial differential equations， volumel bridges physics and applied
mathematics in a manner that is easily accessible to readers with
an undergraduate-level background in these disciplines.
readers who are more familiar with mathematics than physics will
discover the connection between various physical and mechanical
disciplines and their related mathematical models， which are
described by partial differential equations （pdes）. the authors
establish the funda-mental equations for fields such as
electrodynamics;
fluid dynamics， magnetohydrodynamics， and reacting fluid
dynamics;
elastic， thermoelastic， and viscoelastic mechanics;
the kinetic theory of gases;
special relativity; and quantum mechanics.
readers who are more familiar with physics than mathematics will
benefit from in-depth explanations of how pdes work as effective
mathematical tools to more clearly express and present the basic
concepts of physics. the book describes the mathematical structures
and features of these pdes， including
the types and basic characteristics of the equations，
the behavior of solutions， and
some commonly used approaches to solving pdes.
物理学与偏微分方程-(上册) 内容简介
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.
物理学与偏微分方程-(上册) 目录
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
物理学与偏微分方程-(上册) 作者简介
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.
