Finite Mathematics, 6/e (有限數學，第6版)

Howard L. Rolf

Finite Mathematics, 6/e
  • 出版商: brooks/cole
  • 出版日期: 2004-04-01
  • 售價: $1,127
  • 語言: 英文
  • 頁數: 864
  • 裝訂: Hardcover
  • ISBN: 0534465390
  • ISBN-13: 9780534465391

    • 下單後立即進貨 (約5~7天)

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商品描述

Description:

The new edition of Rolf's FINITE MATHEMATICS relies on a rich array of examples and a student-friendly approach to clearly illustrate the utility of mathematical concepts in analyzing and solving problems. In addition, the Sixth Edition continues to offer flexible technology integration with optional graphing calculator problems and Excel applications for instructors who wish to bring technology into the course.


 

Table of Contents:

1. FUNCTIONS AND LINES.
Functions. Graphs and Lines. Mathematical Models and Applications of Linear Functions.
2. LINEAR SYSTEMS.
Systems of Two Equations. Systems with Three Variables: An Introduction to a Matrix Representation of Linear System of Equations. Gauss-Jordan Method for General Systems of Equations. Matrix Operations. Multiplication of Matrices. The Inverse of a Matrix. Leontief Input-Output Model in Economics. Linear Regression.
3. LINEAR PROGRAMMING.
Linear Inequalities in Two Variables. Solutions of Systems of Inequalities: A Geometric Picture.
Linear Programming: A Geometric Approach. Applications.
4. LINEAR PROGRAMMING: THE SIMPLEX METHOD.
Setting Up the Simplex Method. The Simplex Method. The Standard Minimum Problem: Duality. Mixed Constraints. Multiple Solutions, Unbounded Solutions, and NO Solutions. What's Happening in the Simplex Method? Sensitivity Analysis.
5. MATHEMATICS OF FINANCE.
Simple Interest. Compound Interest. Annuities and Sinking Funds. Present Values of an Annuity and Amortization.
6. SETS AND COUNTING.
Sets. Counting Elements in a Subset Using a Venn Diagram. Basic Counting Principles. Permutations. Combinations. A Mixture of Counting Problems. Partitions.
7. PROBABILITY.
Introduction to Probability. Equally Likely Events. Compound Events: Union, Intersection, and Complement. Conditional Probability. Independent Events. Bayes' Rule. Markov Chains.
8. STATISTICS.
Frequency Distributions. Measures of Central Tendency. Measures of Dispersion: Range, Variance, and Standard Deviation. Random Variables and Probability Distributions of Discrete Random Variables. Expected Value of a Random Variable. Binomial Experiments and Binomial Distribution. Normal Distribution. Estimating Bounds on a Proportion.
9. GAME THEORY.
Two-Person Games. Mixed Strategy Games.
10. LOGIC.
Statements. Conditional Statements. Equivalent Statements. Valid Arguments.
REVIEW TOPICS.
Appendix A: Properties of Real Numbers.
Appendix B: Solving Linear Equations.
Appendix C: Coordinate Systems.
Appendix D: Linear Inequalities and Interval Notation.
USING A TI-83 GRAPHING CALCULATOR.
Notation. Arithmetic Operations. Graphing. Evaluating a Function. Finding the Intersection of Two Graphs. Constructing a Table. Matrices. Statistics.
USING EXCEL
Answers to Odd Numbered Exercises.
Index.

商品描述(中文翻譯)

描述：
Rolf的《有限數學》新版依賴豐富的例子和學生友好的方法，清楚地展示了數學概念在分析和解決問題中的實用性。此外，第六版繼續提供靈活的技術整合，包括可選的圖形計算器問題和Excel應用，以便希望將技術引入課程的教師使用。

目錄：
1. 函數和直線。函數。圖形和直線。線性函數的數學模型和應用。
2. 線性系統。兩個方程的系統。三個變量的系統：線性方程組的矩陣表示介紹。高斯-喬登方法用於一般方程組。矩陣運算。矩陣的乘法。矩陣的逆。經濟學中的Leontief投入產出模型。線性回歸。
3. 線性規劃。二元不等式。不等式系統的解：幾何圖形。線性規劃：幾何方法。應用。
4. 線性規劃：單純形法。設置單純形法。單純形法。標準最小問題：對偶性。混合約束。多個解、無界解和無解。單純形法中發生了什麼？敏感性分析。
5. 財務數學。簡單利息。複利。年金和沉沒基金。年金的現值和分期償還。
6. 集合和計數。集合。使用Venn圖計數子集中的元素。基本計數原則。排列。組合。計數問題的混合。分割。
7. 概率。概率入門。等可能事件。復合事件：聯合、交集和補集。條件概率。獨立事件。貝氏定理。馬爾可夫鏈。
8. 統計。頻率分佈。中心趨勢的度量。離散度的度量：範圍、變異數和標準差。離散隨機變量的概率分佈。隨機變量的期望值。二項實驗和二項分佈。正態分佈。估計比例的界限。
9. 博弈論。兩人遊戲。混合策略遊戲。
10. 邏輯。陳述。條件陳述。等價陳述。有效論證。
復習主題。
附錄A：實數的性質。
附錄B：解線性方程。
附錄C：座標系統。
附錄D：線性不等式和區間表示法。
使用TI-83圖形計算器。
Excel使用。
奇數練習題答案。
索引。

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