理论物理中的Mathematica：电动力学，量子力学，广义相对论和分形（第二版 英文影印版） 作者：鲍曼（G.Baumann）编著 出版时间：2011年版 内容简介 Classicai Mcchanics ancl Nonlincar Dynamics Class-tested textbook that shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica to derive numeric and symbolic solutions. Delivers dozens of fully interactive examples for lcarning and implementation， constants and formulae can readily bc altercd and adapted for the user's purposes. New edition offers enlarged two-volume format suitable to courscs in mechanics and clcctrodynainics， u'hilc offcring dozens of new cxamplcs and a more rewarding interactive learning cnvironment. 目 录 Volume 1 Preface Introduction 1．1 Basics 1．1．1 Structure of Mathematica 1．1．2 Interactive Use of Mathematica 1．1．3 Symbolic Calculations 1．1．4 Numerical Calculations 1．1．5 Graphics 1．1．6 Programming
Classical Mechanics 2．1 Introduction 2．2 Mathematical Tools 2．2．1 Introduction 2．2．2 Coordinates 2．2．3 Coordinate Transformations and Matrices 2．2．4 Scalars 2．2．5 Vectors 2．2．6 Tensors 2．2．7 Vector Products 2．2．8 Derivatives 2．2．9 Integrals 2．2．10 Exercises Kinematics 2．3．1 Introduction 2．3．2 Velocity 2．3．3 Acceleration 2．3．4 Kinematic Examples 2．3．5 Exercises Newtonian Mechanics 2．4．1 Introduction 2．4．2 Frame of Reference 2．4．3 Time 2．4．4 Mass 2．4．5 Newton's Laws 2．4．6 Forces in Nature 2．4．7 Conservation Laws 2．4．8 Application of Newton's Second Law 2．4．9 Exercises 2．4．10 Packages and Programs Central Forces 2．5．1 Introduction 2．5．2 Kepler's Laws 2．5．3 Central Field Motion 2．5．4 Two-Particle Collisons and Scattering 2．5．5 Exercises 2．5．6 Packages and Programs Calculus of Variations 2．6．1 Introduction 2．6．2 The Problem of Variations 2．6．3 Euler's Equation 2．6．4 Euler Operator 2．6．5 Algorithm Used in the Calculus of Variations 2．6．6 Euler Operator for q Dependent Variables 2．6．7 Euler Operator for q + p Dimensions 2．6．8 Variations with Constraints 2．6．9 Exercises 2．6．10 Packages and Programs Lagrange Dynamics 2．7．1 Introduction 2．7．2 Hamilton's Principle Hisorical Remarks …… Volume 2
