Finite Mathematics : An Applied Approach (2ND)

Finite Mathematics : An Applied Approach (2ND)

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  • 製本 Hardcover:ハードカバー版/ページ数 570 p.
  • 言語 ENG,ENG
  • 商品コード 9780673996008
  • DDC分類 510

Table of Contents

Preface                                            viii
Chapter 1 Applications of Linear Functions 1 (60)
Section 1.1 The Cartesian Plane and 2 (8)
Graphing
Section 1.2 Equations of Straight Lines 10 (12)
Section 1.3 Linear Modeling 22 (11)
Section 1.4 Two Lines: Relating the 33 (13)
Geometry to the Equations
Section 1.5 Regression and Correlation 46 (12)
Chapter 1 Reflections 58 (2)
Sample Test Items for Chapter 1 60 (1)
Career Uses of Mathematics 60 (1)
Chapter 2 Systems of Linear Equations 61 (34)
Section 2.1 Linear Systems as Mathematical 62 (8)
Models
Section 2.2 Linear Systems Having One or 70 (12)
No Solutions
Section 2.3 Linear Systems Having Many 82 (9)
Solutions
Chapter 2 Reflections 91 (2)
Sample Test Items for Chapter 2 93 (1)
Career Uses of Mathematics 94 (1)
Chapter 3 Matrix Algebra 95 (44)
Section 3.1 Matrix Addition and 96 (11)
Applications
Section 3.2 Matrix Multiplication and 107 (11)
Applications
Section 3.3 The Inverse of a Matrix 118 (9)
Section 3.4 More Applications of Inverses 127 (7)
Chapter 3 Reflections 134 (3)
Sample Test Items for Chapter 3 137 (1)
Career Uses of Mathematics 138 (1)
Chapter 4 Linear Programming 139 (87)
Section 4.1 Modeling Linear Programming 140 (7)
Problems
Section 4.2 Linear Inequalities in Two 147 (10)
Variables
Section 4.3 Solving Linear Programming 157 (11)
Problems Graphically
Section 4.4 Slack Variables and Pivoting 168 (13)
Section 4.5 The Simplex Algorithm 181 (14)
Section 4.6 Nonstandard Problems 195 (16)
Section 4.7 The Dual Problem 211 (10)
Chapter 4 Reflections 221 (3)
Sample Test Items for Chapter 4 224 (1)
Career Uses of Mathematics 225 (1)
Chapter 5 Logic, Sets, and Counting 226 (57)
Techniques
Section 5.1 Logic 227 (7)
Section 5.2 Sets 234 (8)
Section 5.3 Application of Venn Diagrams 242 (9)
Section 5.4 The Multiplication Principle 251 (9)
Section 5.5 Permutations 260 (7)
Section 5.6 Combinations 267 (8)
Section 5.7 Other Counting Techniques: A 275 (5)
Final Summary
Chapter 5 Reflections 280 (1)
Sample Test Items for Chapter 5 281 (1)
Career Uses of Mathematics 282 (1)
Chapter 6 Basic Concepts of Probability 283 (40)
Section 6.1 Equally Likely Outcomes 284 (12)
Section 6.2 Outcomes with Unequal 296 (14)
Probability; Odds
Section 6.3 Discrete Random Variables and 310 (10)
Expected Value
Chaper 6 Reflections 320 (1)
Sample Test Items for Chapter 6 321 (1)
Career Uses of Mathematics 322 (1)
Chapter 7 Additional Topics in Probability 323 (56)
Section 7.1 Addition Rules for Probability; 324 (13)
Mutually Exclusive Events
Section 7.2 Conditional Probability 337 (10)
Section 7.3 Multiplication Rules for 347 (13)
Probability: Independent Events
Section 7.4 Bayes' Theorem 360 (7)
Section 7.5 Binomial Experiments; A Guide 367 (8)
to Probability
Chapter 7 Reflections 375 (2)
Sample Test Items for Chapter 7 377 (1)
Career Uses of Mathematics 378 (1)
Chapter 8 Statistics 379 (52)
Section 8.1 Organizing Data: Frequency 380 (10)
Distributions
Section 8.2 Measures of Central Tendency 390 (10)
Section 8.3 Measuring the Dispersion of 400 (9)
Data
Section 8.4 Continuous Random Variables 409 (12)
and the Normal Distribution
Section 8.5 The Normal Approximation to 421 (7)
the Binomial Distribution
Chapter 8 Reflections 428 (1)
Sample Test Items for Chapter 8 429 (1)
Career Uses of Mathematics 430 (1)
Chapter 9 Markov Chains 431 (27)
Section 9.1 Combining Matrices with 432 (9)
Probability: The Transition Matrix
Section 9.2 Regular Markov Chains 441 (6)
Section 9.3 Absorbing Markov Chains 447 (8)
Chapter 9 Reflections 455 (2)
Sample Test Items for Chapter 9 457 (1)
Chapter 10 An Introduction to Game Theory 458 (22)
Section 10.1 Strictly Determined Games 459 (6)
Section 10.2 The Expected Value of Games 465 (4)
with Mixed Strategies
Section 10.3 Solving Mixed-Strategy Games 469 (9)
Chapter 10 Reflections 478 (1)
Sample Test Items for Chapter 10 479 (1)
Chapter 11 Mathematics of Finance 480 (27)
Section 11.1 Simple and Compound Interest 481 (9)
Section 11.2 Ordinary Annuities 490 (6)
Section 11.3 Consumer Loans and the APR 496 (8)
Chapter 11 Reflections 504 (1)
Sample Test Items for Chapter 11 505 (1)
Career Uses of Mathematics 506 (1)
Appendix 507 (3)
Answers to Selected Exercises 510 (53)
Index 563