推荐两本预微积分﹙Pre-calculus﹚的书

书名:PRE-CALCULUS DEMYSTIFIED﹙预微积分解密﹚

目录:共十四章,还有一个Final exam。

  1. The Slope and Equation of a Line
  2. Introduction to Functions
  3. Function and Their Graphs
  4. Combinations of Functions and Inverse Functions
  5. Translations and Special Functions
  6. Quadratic Functions
  7. Polynomial Functions
  8. Rational Functions
  9. Exponents and Logarithms
  10. System of Equations and Inequalities
  11. Matrices
  12. Conic Sections
  13. Trigonometry
  14. Sequences and Series

下载地址:http://www.weiqw.com/downloads/Mcgraw-Hill_Pre-Calculus_Demystified.pdf

说明:Mcgraw-Hill系列的书,在网上能找到这么精装而且免费的书,应该要感激才对。本书主讲Pre-calculus﹙预微积分﹚,pre-calculus其实是北美高中的一门课程,国内没有预微积分这个概念,但其实就是国内高中数学的内容。众所周知,微积分﹙calculus﹚是大学里面理工科专业必修的课程,而本书就是微积分的预备知识,所以说掌握好了预微积分,你就能很好的驾驭大学的微积分和高数。这本书是self-teaching guide,也就是自学入门书。方便高中数学不太理想的同学们进行课后自学,本书语言通俗易懂,内容进度的层次和逻辑性更科学,有别于传统的数学书。

书名:PRE-CALCULUS KNOW-IT-ALL

目录:共有两部分,二十章,一个Final exam

Part 1 Coordinates and Vectors

  • Cartesian Two-Space
  • A Fresh Look at Trigonometry
  • Polar Two-Space
  • Vector Basic
  • Vector Multiplication
  • Complex Numbers and Vectors
  • Cartesian Three-Space
  • Vectors in Cartesian Three-Space
  • Alternative Three-Space
  • Review Questions and Answers

Part 2 Analytic Geometry

  • Relations in Two-Space
  • Inverse Relations in Two-Space
  • Conic Sections
  • Exponential and Logarithmic Curves
  • Trigonometric Curves
  • Parametric Equations in Two-Space
  • Surfaces in Three-Space
  • Lines and Curves in Three-Space
  • Sequences,Series,and Limits
  • Review Questions and Answers

下载地址:http://www.weiqw.com/downloads/Mcgraw-Hill_Pre-Calculus_Know-It-ALL.pdf

说明:这本书是关于Pre-calculus的一个补充,可以用作课后开拓用,也可以配合上面那本书一起学习。