Amazon no longer offers textbook rentals. We do!

Finite Mathematics & Its Applications

by: Goldstein, Larry J.; Schneider, David I.; Siegel, Martha J.

Finite Mathematics & Its Applications

by: Goldstein, Larry J.; Schneider, David I.; Siegel, Martha J.

ISBN 13:
9780131873643
ISBN 10:
0131873644
Edition: 9th
Format: Hardcover
Copyright: 01/01/2010
Publisher: Pearson College Div
Newer Edition

Rent

Sorry, this item is currently unavailable.

Note: Supplemental materials are not guaranteed with Rental or Used book purchases.

Extend or Purchase Your Rental at Any Time

Need to keep your rental past your due date? At any time before your due date you can extend or purchase your rental through your account.

Summary

A "tried and true" favorite of both students and instructors alike, this text offers extremely readable coverage of the principles of finite mathematics and their applications in business, social science, and the life sciences. Topics are presented in a straightforward, interesting manner, with considerable attention given to the applications of the mathematics. The goal is for the students'mathematical maturity and appreciation for the usefulness of mathematics to grow simultaneously. Many sections contain specially designed technology exercises.

Preface

vii

Linear Equations and Straight Lines

(56)

Coordinate Systems and Graphs

(10)

Linear Inequalities

(10)

The Intersection Point of a Pair of Lines

(5)

The Slope of a Straight Line

(14)

The Method of Least Squares

(17)

Chapter Test

(1)

Chapter Project: Break-Even Analysis

(2)

Matrices

(66)

Solving Systems of Linear Equations, I

(13)

Solving Systems of Linear Equations, II

(8)

Arithmetic Operations on Matrices

(15)

The Inverse of a Matrix

(10)

The Gauss-Jordan Method for Calculating Inverses

103

(5)

Input-Output Analysis

108

(15)

Chapter Test

118

(2)

Chapter Project: Population Dynamics

120

(3)

Linear Programming, A Geometric Approach

123

(36)

A Linear Programming Problem

123

(7)

Linear Programming I

130

(11)

Linear Programming II

141

(18)

Chapter Test

155

(2)

Chapter Project: Shadow Prices

157

(2)

The Simplex Method

159

(54)

Slack Variables and the Simplex Tableau

159

(9)

The Simplex Method I: Maximum Problems

168

(12)

The Simplex Method II: Minimum Problems

180

(8)

Sensitivity Analysis and Matrix Formulations of Linear Programming Problems

188

(8)

Duality

196

(17)

Chapter Test

211

(1)

Chapter Project: Shadow Prices

212

(1)

Sets and Counting

213

(60)

Sets

213

(7)

A Fundamental Principle of Counting

220

(6)

Venn Diagrams and Counting

226

(6)

The Multiplication Principle

232

(7)

Permutations and Combinations

239

(7)

Further Counting Problems

246

(6)

The Binomial Theorem

252

(6)

Multinomial Coefficients and Partitions

258

(15)

Chapter Test

267

(2)

Chapter Project: Pascal's Triangle

269

(4)

Probability

273

(70)

Introduction

273

(2)

Experiments, Outcomes, and Events

275

(9)

Assignment of Probabilities

284

(11)

Calculating Probabilities of Events

295

(9)

Conditional Probability and Independence

304

(12)

Tree Diagrams

316

(8)

Bayes' Theorem

324

(6)

Simulation

330

(13)

Chapter Test

340

(1)

Chapter Project: Two Paradoxes

341

(2)

Probability and Statistics

343

(76)

Visual Representations of Data

344

(8)

Frequency and Probability Distributions

352

(12)

Binomial Trials

364

(6)

The Mean

370

(11)

The Variance and Standard Deviation

381

(11)

The Normal Distribution

392

(14)

Normal Approximation to the Binomial Distribution

406

(13)

Chapter Test

415

(2)

Chapter Project: An Unexpected Expected Value

417

(2)

Markov Processes

419

(36)

The Transition Matrix

419

(11)

Regular Stochastic Matrices

430

(8)

Absorbing Stochastic Matrices

438

(17)

Chapter Test

451

(1)

Chapter Project: Doubly Stochastic Matrices

452

(3)

The Theory of Games

455

(30)

Games and Strategies

455

(7)

Mixed Strategies

462

(7)

Determining Optimal Mixed Strategies

469

(16)

Chapter Test

482

(1)

Chapter Project: Simulating The Outcomes of Mixed-Strategy Games

483

(2)

The Mathematics of Finance

485

(52)

Interest

485

(11)

Annuities

496

(10)

Amortization of Loans

506

(9)

Personal Financial Decisions

515

(22)

Chapter Test

533

(1)

Chapter Project: Two Items of Interest

534

(3)

Difference Equations and Mathematical Models

537

(40)

Introduction to Difference Equations I

537

(8)

Introduction to Difference Equations II

545

(7)

Graphing Difference Equations

552

(9)

Mathematics of Personal Finance

561

(6)

Modeling with Difference Equations

567

(10)

Chapter Test

574

(2)

Chapter Project: Connections to Markov Processes

576

(1)

Logic

577

Introduction to Logic

577

(5)

Truth Tables

582

(9)

Implication

591

(8)

Logical Implication and Equivalence

599

(9)

Valid Argument

608

(6)

Predicate Calculus

614

(10)

Logic Circuits

624

Chapter Test

632

(2)

Chapter Project: A Logic Puzzle

634

Appendix A Tables

(8)

Table 1 Areas under the standard normal curve

(1)

Table 2 (1 + i)n Compound amount of $1 invested for n interest periods at interest rate i per period

(1)

Table 3 1/(1 + i)n Present value of $1. Principal that will accumulate to $1 in n interest periods at a compound rate of i per period

(1)

Table 4 s n i Future value of an ordinary annuity of n $1 payments each, immediately after the last payment at compound interest rate of i per period

(1)

Table 5 1/s n i Rent per period for an ordinary annuity of n payments, with compounded interest rate i per period, and future value $1

(1)

Table 6 ani Present value of an ordinary annuity of n payments of $1 one period before the first payment, with interest compounded at i per period

(1)

Table 7 1/a n i Rent per period for an ordinary annuity of n payments whose present value is $1, with interest compounded at i per period

(1)

Appendix B Using the TI-83/TI-83+/TI-84+ Graphing Calculators

(3)

Appendix C Spreadsheet Fundamentals

(4)

Appendix D Using the TI-89 Graphing Calculator

(5)

Answers to Exercises

(42)

Solutions to Circled Exercises

Index

Amazon no longer offers textbook rentals. We do!

Finite Mathematics & Its Applications

Finite Mathematics & Its Applications

9780131873643

0131873644

Summary

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Finite Mathematics & Its Applications

Finite Mathematics & Its Applications

9780131873643

0131873644

Summary

Table of Contents

Supplemental Materials

Write a Review

Related Products