鲍曼编著的《理论物理中的Mathematica--电动力学量子力学广义相对论和分形(第2版影印版)(精)/国外物理名著系列》Classical Mechanics and Nonlinear Dynamics Class-tested textbookthat shows readers how to solve physical problems and deal withtheir underlying theoretical concepts while using Mathematica toderive numeric and symbolic solutions. Delivers dozens of fullyinteractive examples for learning and implementation, constantsand formulae can readily be altered and adapted for the user'spurposes. New edition offers enlarged two-volume format suitableto courses in mechanics and electrodynamics, while offering dozensof new examples and a more rewarding interactive learningenvironment.

Volume Ⅰ
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
2.3 Kinematics
2.3.1 Introduction
2.3.2 Velocity
2.3.3 Acceleration
2.3.4 Kinematic Examples
2.3.5 Exercises
2.4 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
2.5 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
2.6 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
2.7 Lagrange Dynamics
2.7.1 Introduction
2.7.2 Hamilton's Principle Hisorical Remarks
2.7.3 Hamilton's Principle
2.7.4 Symmetries and Conservation Laws
2.7.5 Exercises
2.7.6 Packages and Programs
2.8 Hamiltonian Dynamics
2.8.1 Introduction
2.8.2 Legendre Transform
2.8.3 Hamilton's Equation of Motion
2.8.4 Hamilton's Equations and the Calculus of Variation
2.8.5 Liouville's Theorem
2.8.6 Poisson Brackets
2.8.7 Manifolds and Classes
2.8.8 Canonical Transformations
2.8.9 Generating Functions
2.8.10 Action Variables
2.8.11 Exercises
2.8.12 Packages and Programs
2.9 Chaotic Systems
2.9.1 Introduction
2.9.2 Discrete Mappings and Hamiltonians
2.9.3 Lyapunov Exponents
2.9.4 Exercises
2.10 Rigid Body
2.10.1 Introduction
2.10.2 The Inertia Tensor
2.10.3 The Angular Momentum
2.10.4 Principal Axes of Inertia
2.10.5 Steiner's Theorem
2.10.6 Euler's Equations of Motion
2.10.7 Force-Free Motion of a Symmetrical Top
2.10.8 Motion of a Symmetrical Top in a Force Field
2.10.9 Exercises
2.10.10 Packages and Programms
Nonlinear Dynamics
3.1 Introduction
3.2 The Korteweg-de Vries Equation
3.3 Solution of the Korteweg-de Vries Equation
3.3.1 The Inverse Scattering Transform
3.3.2 Soliton Solutions of the Korteweg--de Vries
Equation
3.4 Conservation Laws of the Korteweg-de Vries Equation
3.4.1 Definition of Conservation Laws
3.4.2 Derivation of Conservation Laws
3.5 Numerical Solution of the Korteweg--de Vries Equation
3.6 Exercises
3.7 Packages and Programs
3.7.1 Solution of the KdV Equation
3.7.2 Conservation Laws for the KdV Equation
3.7.3 Numerical Solution of the KdV Equation
References
Index
Volume Ⅱ
Preface
Electrodynamics
4.1 Introduction
4.2 Potential and Electric Field of Discrete Charge
Distributions
4.3 Boundary Problem of Electrostatics
4.4 Two Ions in the Penning Trap
4.4.1 The Center of Mass Motion
4.4.2 Relative Motion of the Ions
4.5 Exercises
4.6 Packages and Programs
4.6.1 Point Charges
4.6.2 Boundary Problem
4.6.3 Penning Trap
Quantum Mechanics
5.1 Introduction
5.2 The Schri3dinge