Schaum's Outline of Beginning Finite

Most colleges and universities now require their non-science majors to take a one- or two-semester course in mathematics. Taken by 300,000 students annually, finite mathematics is the most popular. Updated and revised to match the structures and syllabuses of contemporary course offerings, Schaum's Outline of Beginning Finite Mathematics provides a thorough review-- with worked examples--of the fundamentals of linear equations and linear growth. Topics covered include games theory, descriptive statistics, normal distribution, probability, binomial distribution, and voting systems and apportionment.

Seymour Lipschutz, Ph.D., John Schiller, Ph.D., and Alu Srinivasan, Ph.D. are on the mathematics faculty at Temple University.

Linear Equations and Linear Growth

1

(29)

Introduction; Real Line R

1

(2)

Cartesian Plane R2

3

(2)

Linear Equations in One Unknown

5

(1)

Linear Equations in Two Unknowns and Their Graphs

6

(1)

Slope of a Line

7

(2)

Linear Functions and Linear Growth

9

(2)

Lines and Their Equations; Point-Slope Formula

11

(1)

General Equations and Curves; Functions

12

(18)

Exponential Growth

30

(17)

Introduction: Linear vs. Exponential Change

30

(1)

Exponential Growth

31

(1)

Logarithms

31

(1)

Doubling Time

32

(1)

Exponential Decay

33

(1)

Half-Life

34

(1)

Growth and Decay in Terms of Natural Base

34

(2)

Doubling Time and Half-Life in Terms of Natural Base

36

(1)

Summary

36

(1)

Comment on Exact Equations, Approximate Mathematical Models, and Numerical Accuracy

37

(10)

Financial Mathematics

47

(23)

Simple Interest

47

(1)

Simple Discount

48

(1)

Compound Interest

49

(2)

Continuous Interest

51

(1)

Effective Rate of Interest

52

(1)

Introduction to Annuities

53

(1)

Sinking Funds and Future Value

53

(1)

Amortization and Present Value

54

(16)

Set Theory

70

(23)

Introduction

70

(1)

Sets and Elements; Subsets

70

(2)

Venn Diagrams

72

(1)

Set Operations

72

(3)

Finite Sets; Counting Principle

75

(1)

Product Sets

76

(1)

Classes of Sets; Powers Sets and Partitions

77

(1)

Mathematical Induction (Optional)

78

(1)

Arguments and Venn Diagrams (Optional)

79

(14)

Techniques of Counting

93

(17)

Introduction

93

(1)

Basic Counting Principles

93

(1)

Mathematical Functions

94

(2)

Permutations

96

(1)

Combinations

97

(1)

Tree Diagrams

98

(12)

Probability Theory

110

(44)

Introduction

110

(1)

Sample Space and Events

110

(1)

Finite Probability Spaces

111

(2)

Conditional Probability

113

(3)

Independent Events

116

(1)

Independent Repeated Trials; Binomial Distribution

117

(2)

Random Variables

119

(4)

Joint Distributions and Independent Random Variables

123

(1)

Normal Distribution

123

(4)

Normal Approximation of the Binomial Distribution

127

(27)

Descriptive Statistics

154

(40)

Introduction; The Nature of Statistics

154

(1)

Gathering Data; Random Samples

154

(2)

Displaying Data; Frequency Histograms

156

(4)

Measures of Central Tendency; Sample Mean and Median

160

(2)

Measures of Dispersion; Sample Variance and Standard Deviation

162

(4)

Measures of Position; Quartiles and Percentiles

166

(1)

Bivariate Data, Scatterplots, and Linear Regression

167

(27)

Inferential Statistics

194

(24)

Sampling Distributions

194

(3)

The Central Limit Theorem

197

(1)

Confidence Intervals for Population Means

198

(5)

Chi-Square Test for Goodness of Fit

203

(15)

Graphs and Networks

218

(32)

Introduction

218

(1)

Euler Circuits

219

(2)

The Letter Carrier Problem

221

(1)

Hamiltonian Circuits

222

(1)

Complete Graphs

223

(1)

Traveling Salesperson Problem

224

(2)

Directed Graphs

226

(1)

Trees

227

(1)

Spanning Trees

228

(22)

Voting Systems

250

(19)

Introduction

250

(1)

Elections with Two Candidates

250

(1)

Single-Vote Plurality System with Three or More Candidates

251

(1)

Voting Systems with Preference List Ballots and More Than Two Candidates

251

(18)

Geometry

269

(32)

Introduction

269

(1)

Basic Objects of Plane Geometry

269

(3)

Angle Measurement

272

(2)

Planar Figures

274

(3)

Euclid's Postulates: The Development of Plane Geometry

277

(1)

Pythagorean Theorem

278

(1)

Non-Euclidean Geometry

279

(2)

Units of Measurement and Formulas for Reference

281

(20)

Linear Inequalities and Linear Programming

301

(12)

Introduction

301

(1)

Linear Inequalities in the Plane

301

(1)

Systems of Linear Inequalities and Corner Points

302

(1)

Applications of Systems of Linear Inequalities

303

(2)

A Maximum Linear Programming Problem

305

(1)

A Minimum Linear Programming Problem

305

(8)

Appendix A Tables

313

(14)

Appendix B Standard Normal Curve Areas

327

(2)

Appendix C Apportionment

329

(14)

Index

343

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

FREE SHIPPING

Amazon no longer offers textbook rentals. We do!

Schaum's Outline of Beginning Finite Mathematics

Summary

Author Biography

Table of Contents

Supplemental Materials