本书是根据多年教学实践，参照“工科类本科数学基础课程教学基本要求”和《全国硕士研究生入学统一考试数学考试大纲》，按照新形势下教材改革的精神编写而成。 与同类教材不同，本书将数学软件Mathematica 融入到教学实践环节中，对传统的高等数学教学内容和体系进行适当整合，力求严谨清晰，富于启发性和可读性。

全书分上、 下两册。 上册内容为函数与极限，导数与微分，微分中值定理与导数的应用，一元函数积分学及其应用和无穷级数。下册内容为向量代数与空间解析几何，多元函数微分学及其应用，重积分，曲线积分与曲面积分及常微分方程。书中还配备了丰富的例题和习题，分为A（为一般基本要求）、 B（有一定难度和深度）两类，便于分层次教学。

本书可作为高等学校理、工科各类专业高等数学课程的教材。

Preface
1 Spheres， Clusters and Packing of Spheres
  1.1 Introduction
  1.2 Geometry of Spheres
   1.2.1 A Sphere and Its Neighbours
   1.2.2 Neighbours by Touching
   1.2.3 Hard and Soft Spheres
  1.3 Geometry of Clusters
   1.3.1 Regular Clusters
   1.3.2 Irregular Clusters
   1.3.3 Coordination of （1+k） Clusters
   1.3.4 Configuration of （1+k） Clusters
  1.4 Geometry of Sphere Packings
   1.4.1 Fixed and Loose Packings
   1.4.2 Ordered Packing
   1.4.3 Disordered Packing
   1.4.4 Random Packing
   1.4.5 Random Sequential Addition of Hard Spheres
   1.4.6 Random Closed Packing of Spheres
   1.4.7 Neighbours by Voronoi Tessellation
   1.4.8 Neighbours by Coordination Shell
   1.4.9 Short and Medium Range Order
  References
2 Characteristics of Sphere Packings
  2.1 Geometrical Properties
   2.1.1 The Coordination Distribution Function， ~P（k）
   2.1.2 Tetrahedricity
   2.1.3 Voronoi Polyhedra Notation
   2.1.4 Topology of Clusters
   2.1.5 The Configuration Distribution Function， Φk（ζ）
   2.1.6 The Volume Fraction
   2.1.7 The Packing Fraction
   2.1.8 Representative Volume Element
   2.1.9 Density of Single Phase
   2.1.10 Density of a Composite
   2.1.11 Solidity of Packing
  2.2 X-ray Scattering
   2.2.1 Introduction
   2.2.2 Geometry of Diffraction and Scattering
   2.2.3 Intensity of a Scattered Wave
   2.2.4 Factors Affecting Integrated Scattered Intensity
  2.3 Glass Transition Measured by Calorimetry
  References
3 Glassy Materials and Ideal Amorphous Solids
  3.1 Introduction
   3.1.1 Solidification
   3.1.2 Cognate Groups of Amorphous Materials （Glasses）
  3.2 Summary of Models of Amorphous Solids
   3.2.1 Lattice with Atomic Disorder
   3.2.2 Disordered Clusters on Lattice
   3.2.3 Geometric Models for Amorphous Networks
   3.2.4 Packing of Regular but Incongruent Clusters
   3.2.5 Irregular Clusters - Random Packing
   3.2.6 Molecular Dynamics
   3.2.7 Monte Carlo Method
  3.3 IAS Model of a-Argon
   3.3.1 IAS Parameters
   3.3.2 Round Cell Simulation and Analysis
   3.3.3 Summary of a-Ar IAS Structure
  3.4 IAS Model of a-NiNb Alloy
   3.4.1 Introduction
   3.4.2 IAS Model of a-NiNb Alloy
   3.4.3 X-ray Scattering from a-NiNb Alloy
   3.4.4 Density of a-Ni62-Nb38 Alloy
   3.4.5 Summary of a-NiNb IAS Structure
  3.5 IAS Model of a-MgCuGd Alloy
   3.5.1 Physical Properties of the Elements
   3.5.2 IAS Simulation of a-MgCuGd Alloy
   3.5.3 X-ray Scattering from a-Mg65-Cu25-Gd10 Alloy
   3.5.4 Density of Mg65-Cu25-Gd10 Alloy
   3.5.5 Summary of a-MgCuGd 1AS Structure
  3.6 IAS Model of a-ZrTiCuNiBe Alloy
   3.6.1 Transmission Electron Microscopy
   3.6.2 IAS Simulation of Amorphous a-ZrTiCuNiBe Alloy
   3.6.3 Atomic Probe of the a-ZrTiCuNiBe Alloy
   3.6.4 Selected Clusters from the a-ZrTiCuNiBe Alloy
   3.6.5 X-ray Scattering from the a-ZrTiCuNiBe Alloy
   3.6.6 Density of ZrTiCuNiBe Alloy
   3.6.7 Summary of a-ZrTiCuNiBe IAS Structure
  3.7 IAS Model of a-Polyethylene （a-PE）
   3.7.1 Radial Distribution Function
   3.7.2 X-ray Scattering
   3.7.3 Summary of a-PE IAS Structure
  3.8 IAS Model of a-Silica （a-SiO2）
   3.8.1 Molecular Parameters for SiO2
   3.8.2 IAS and United Atom Models for SiO2
   3.8.3 Summary of a-SiO2 IAS Structure
  3.9 Chalcogenide Glasses
   3.9.1 As12-Ge33-Se55 Chalcogenide Glass
   3.9.2 Measured Coordination Distribution
   3.9.3 Measured X-ray Scattering
   3.9.4 Glass-Transition Temperature of AsGeSe Glasses
   3.9.5 Models of Atomic Arrangements in AsGeSe Glass
   3.9.6 Summary of a-AsGeSe IAS Structure
  3.10 Concluding Remarks
   3.10.1 Chapter 3
   3.10.2 Chapter 2
  References
4 Mechanical Behaviour
  4.1 Introduction
  4.2 Elasticity
   4.2.1 Phenomenology
   4.2.2 Continuum Mechanics
   4.2.3 Atomistic Elasticity
  4.3 Elastic Properties of Amorphous Solids
   4.3.1 Elastic Modulus of Amorphous Argon
  4.4 Fracture
   4.4.1 Phenomenology
   4.4.2 Continuum Mechanics
   4.4.3 Atomistic Fracture Mechanics of Solids
  4.5 Plasticity
   4.5.1 Phenomenology
   4.5.2 Continumm Mechanics
   4.5.3 Atomistic Mechanics of Crystalline Solids
  4.6 Plasticity in Plasticity: Amorphous Solids
   4.6.1 Plastic Deformation by Shear Band Propagation
  4.7 Superplasticity
   4.7.1 Phenomenology
   4.7.2 Continuum Mechanics
   4.7.3 Superplasticity in Bulk Metallic Glasses
   4.7.4 Concordant Deformation Mechanism
  4.8 Viscoelasticity
   4.8.1 Phenomenology
   4.8.2 Time-and Temperature-Dependent Behaviour
   4.8.3 Temperature Effect on Viscoelastic Behaviour
  References
Index
Color Plots

Zbigniew H. Stachurski，澳大利亚国立大学教授。1965年本科毕业于波兰 AGH 科技大学（ Krakow），1968年博士毕业于英国Bristol大学。1991年当选澳大利亚皇家化学学会会员，1993年获皇家化学学会“聚合物材料突出贡献奖”。2002年任澳大利亚国立大学材料中心主任。为英国、瑞士、希腊、新加坡等多所高校的访问教授。会讲5种语言：English, Polish, Ukrainian, French, Russian.