数学专业英语 / 高等学校教材
￥34.50定价
作者： 沈晨，李维国
出版时间：2012-12
出版社：中国石油大学出版社
- 中国石油大学出版社
- 9787563638277
- 177418
- 2012-12
- H31
内容简介
沈晨、李维国所编的《数学专业英语(高等学校教材)》是根据数学专业外语教学大纲，以本科生教学内容为基础编写的。全书共分14个单元。主要包括：解析几何、数学分析、高等代数、集合论、初等数论、抽象代数、微分方程、拓扑学、数值分析、数学史等分支中的基础性知识。
本书可作为高等院校数学与应用数学、信息与计算科学、统计学等专业的本科生和研究生的教学和参考用书，也可供相关科学技术人员参考。
本书可作为高等院校数学与应用数学、信息与计算科学、统计学等专业的本科生和研究生的教学和参考用书，也可供相关科学技术人员参考。
目录
Unit 1 Precalculus
Text (A) Functions
Reading Material (A) Function, Graph, Arithmetic, Imaginary Unit
Text (B) Composite Functions and Inverse Functions
Text (C) Logarithms and Trigonometry
Reading Material (B) Triangle
Unit 2 Geometry
Text (A) Analytic Geometry of R2
Text (B) Analytic Geometry of R3
Reading Material (A) Geometry
Reading Material (B) Conic section
Reading Material (C) Interview with Shiing Shen Chern
Unit 3 Algebra
Text (A) Polynomial Equations
Text (B) Linear Systems, Matrix Algebra, Gaussian Elimination
Reading Material (A) Gauss Prize·New Prize in Science Promotes Mathematics as a Key Technology
Reading Material (B) Andre Weil： A Prologue
Unit 4 Set Theory
Text (A) Set Theory (Ⅰ)
Reading Material (A) Set Theory (Ⅱ)
Unit 5 Mathematical Analysis ( Ⅰ )
Text (A) The Real Number System
Text (B) Limits
Text (C) Continuous Functions
Text (D) Differential Calculus
Reading Material (A) Nonstandard Analysis
Unit 6 Mathematical Analysis ( Ⅱ )
Text (A) Integral Calculus
Text (B) Infinite Series
Reading Material (A) Carleson Receives 2006 Abel Prize
Unit 7 Number Theory
Text (A) LOO-KENG HUA (November 12,1910-June 12,1985)
Text (B) Fundamental Ideas in Number Theory
Reading Material (A) Prime number
Unit 8 Abstract Algebra
Text (A) Foundations of Abstract Algebra
Text (B) van der Waerden's Modern Algebra
Reading Material (A) Interview with Bartel Leendert van der Waerden
Text (C) Algebraic Geometry
Unit 9 Mathematical Analysis (Ⅱ)
Text (A) Differential Calculus of Functions of Several Variables
Reading Material (A) Mathematical Challenges of the 21st Century: A Panorama of Mathematics
Text (B) Integral Calculus of Functions of Several Variables
Reading Material (B) Hermann Weyl (November 9, 1885-December 9, 1955)
Unit 10 Differential Equations
Text (A) Ordinary Differential Equations
Text (B) Peter Lax Receives 2005 Abel Prize
Reading Material (A) Interview with Louis Nirenberg
Unit 11 Higher Algebra (Ⅱ)
Text (A) Vector Spaces
Text (B) Linear Transformations
Reading Material (A) Matrix
Reading Material (B) Algebra
Unit 12 Topology
Text (A) Basic Topology
Reading Material (A) Topology
Reading Material (B) Algebraic Topology
Unit 13 Numerical Analysis
Text (A) Introduction and Basic Functional Analysis
Text (B) Iterative Methods for Nonlinear System
Reading Material (A) Initial Value Problems
Unit 14 Mathematical Research and Progress in Mathematics
Text (A) But How Do I Do Mathematical Research?
Text (B) 2006 Fields Medals Awarded
Vocabulary Index
Bibliography
Text (A) Functions
Reading Material (A) Function, Graph, Arithmetic, Imaginary Unit
Text (B) Composite Functions and Inverse Functions
Text (C) Logarithms and Trigonometry
Reading Material (B) Triangle
Unit 2 Geometry
Text (A) Analytic Geometry of R2
Text (B) Analytic Geometry of R3
Reading Material (A) Geometry
Reading Material (B) Conic section
Reading Material (C) Interview with Shiing Shen Chern
Unit 3 Algebra
Text (A) Polynomial Equations
Text (B) Linear Systems, Matrix Algebra, Gaussian Elimination
Reading Material (A) Gauss Prize·New Prize in Science Promotes Mathematics as a Key Technology
Reading Material (B) Andre Weil： A Prologue
Unit 4 Set Theory
Text (A) Set Theory (Ⅰ)
Reading Material (A) Set Theory (Ⅱ)
Unit 5 Mathematical Analysis ( Ⅰ )
Text (A) The Real Number System
Text (B) Limits
Text (C) Continuous Functions
Text (D) Differential Calculus
Reading Material (A) Nonstandard Analysis
Unit 6 Mathematical Analysis ( Ⅱ )
Text (A) Integral Calculus
Text (B) Infinite Series
Reading Material (A) Carleson Receives 2006 Abel Prize
Unit 7 Number Theory
Text (A) LOO-KENG HUA (November 12,1910-June 12,1985)
Text (B) Fundamental Ideas in Number Theory
Reading Material (A) Prime number
Unit 8 Abstract Algebra
Text (A) Foundations of Abstract Algebra
Text (B) van der Waerden's Modern Algebra
Reading Material (A) Interview with Bartel Leendert van der Waerden
Text (C) Algebraic Geometry
Unit 9 Mathematical Analysis (Ⅱ)
Text (A) Differential Calculus of Functions of Several Variables
Reading Material (A) Mathematical Challenges of the 21st Century: A Panorama of Mathematics
Text (B) Integral Calculus of Functions of Several Variables
Reading Material (B) Hermann Weyl (November 9, 1885-December 9, 1955)
Unit 10 Differential Equations
Text (A) Ordinary Differential Equations
Text (B) Peter Lax Receives 2005 Abel Prize
Reading Material (A) Interview with Louis Nirenberg
Unit 11 Higher Algebra (Ⅱ)
Text (A) Vector Spaces
Text (B) Linear Transformations
Reading Material (A) Matrix
Reading Material (B) Algebra
Unit 12 Topology
Text (A) Basic Topology
Reading Material (A) Topology
Reading Material (B) Algebraic Topology
Unit 13 Numerical Analysis
Text (A) Introduction and Basic Functional Analysis
Text (B) Iterative Methods for Nonlinear System
Reading Material (A) Initial Value Problems
Unit 14 Mathematical Research and Progress in Mathematics
Text (A) But How Do I Do Mathematical Research?
Text (B) 2006 Fields Medals Awarded
Vocabulary Index
Bibliography
