Mathematics with applications in the management, natural, and social sciences
By: Gareth Williams.
Publisher: Allyn and Bacon
Published: 1981
Place of publication: Boston, Mass
Language: eng
Number of pages: 658
Subjects: Mathematics.
Notes: Includes bibliographical references and index.
Table of contents: label: Chapter 1
title: Matrices; label: 1-1
title: Introduction to Matrices
pagenum: 1; label: 1-2
title: Multiplication of Matrices
pagenum: 2; label: 1-3
title: Further Theory of Matrices
pagenum: 4; label: Chapter 2
title: Graph Theory; label: 2-1
title: Introduction to Graph Theory
pagenum: 10; label: 2-2
title: Group Interaction in Sociology
pagenum: 18; label: 2-3
title: Networks in Economic Geography
pagenum: 23; label: 2-4
title: Interval Graphs Archaeology, and Ecology
pagenum: 28; label: Chapter 3
title: Systems of Linear Equations; label: 3-1
title: Coordinate Systems
pagenum: 34; label: 3-2
title: Straight Lines
pagenum: 35; label: 3-3
title: Systems of Two Equations
pagenum: 38; label: 3-4
title: Systems of Many Equations
pagenum: 40; label: 3-5
title: Matrices and Systems of Linear Equations
pagenum: 40; label: 3-6
title: Models Involving Systems of Linear Equations
pagenum: 43; label: 3-7
title: The Inverse of a Matrix
pagenum: 48; label: 3-8
title: Leontief Input-Output Models in Economics
pagenum: 51; label: Chapter 4
title: Linear Programming; label: 4-1
title: Systems of Linear Inequalities
pagenum: 53; label: 4-2
title: Linear Programming: A Geometrical Introduction
pagenum: 58; label: 4-3
title: The Simplex Method
pagenum: 68; label: 4-4
title: Geometrical Explanation of the Simplex Method
pagenum: 79; label: 4-5
title: Further Classes of Linear Programming Problems
pagenum: 83; label: 4-6
title: Duality Theory
pagenum: 94; label: Chapter 5
title: Probability; label: 5-1
title: Set Theory
pagenum: 102; label: 5-2
title: Introduction to Probability
pagenum: 105; label: 5-3
title: Sample Spaces
pagenum: 105; label: 5-4
title: Permutations and Combinations
pagenum: 108; label: 5-5
title: Events
pagenum: 113; label: 5-6
title: Conditional Probability
pagenum: 118; label: 5-7
title: Probability Functions
pagenum: 120; label: 5-8
title: Bayes Theorem
pagenum: 123; label: Chapter 6
title: Markov Processes; label: 6-1
title: Stochastic Matrices
pagenum: 129; label: 6-2
title: Markov Chains
pagenum: 130; label: 6-3
title: Regular and Absorbing Markov Chains
pagenum: 135; label: Chapter 7
title: Statistics; label: 7-1
title: Mean Standard Deviation, and Expected Value
pagenum: 142; label: 7-2
title: Beroulli Trials and Binomial Distribution
pagenum: 145; label: 7-3
title: Normal Distribution
pagenum: 147; label: 7-4
title: The Chi-Square Test
pagenum: 149; label: 7-5
title: Linear Regression
pagenum: 156; label: Chapter 8
title: Game Theory; label: 8-1
title: Strictly Determined Games
pagenum: 161; label: 8-2
title: Mixed Strategy Games
pagenum: 162; label: Chapter 9
title: Mathematics of Finance; label: 9-1
title: Simple Interest
pagenum: 164; label: 9-2
title: Compound Interest
pagenum: 165; label: 9-3
title: Present Value
pagenum: 167; label: 9-4
title: Annuities and Sinking Funds
pagenum: 169; label: 9-5
title: Present Value of an Annuity and Amortization
pagenum: 171; label: Chapter 10
title: Functions; label: 10-1
title: Introduction to Functions
pagenum: 174; label: 10-2
title: Models Involving Functions
pagenum: 189; label: 10-3
title: Exponential Functions
pagenum: 195; label: 10-4
title: Logarithmic Functions
pagenum: 200; label: 10-5
title: Exponential Growth
pagenum: 203; label: 10-6
title: Carbon Dating
pagenum: 207; label: Chapter 11
title: Differential Calculus; label: 11-2
title: The Limit of a Function
pagenum: 208; label: 11-3
title: Continuity
pagenum: 210; label: 11-4
title: The Derivative of a Function
pagenum: 213; label: 11-5
title: Techniques of Differentiation
pagenum: 219; label: 11-6
title: The Product and Quotient Rules
pagenum: 220; label: 11-7
title: The Chain Rule
pagenum: 222; label: 11-8
title: Higher Derivatives
pagenum: 224; label: Chapter 12
title: Applications of Differential Calculus; label: 12-1
title: Optimization Techniques
pagenum: 227; label: 12-2
title: The Second Derivative Test
pagenum: 240; label: 12-3
title: Rate of Change
pagenum: 248; label: 12-4
title: Marginal Analysis
pagenum: 251; label: 12-5
title: Optimal Output Decisions
pagenum: 255; label: 12-6
title: Newton's Method
pagenum: 256; label: Chapter 13
title: Integral Calculus; label: 13-1
title: Indefinite Integrals
pagenum: 264; label: 13-2
title: Differential Equations
pagenum: 265; label: 13-3
title: Integration by Substitution
pagenum: 267; label: 13-4
title: Integration by Parts
pagenum: 269; label: 13-5
title: Areas and Definite Integrals
pagenum: 271; label: 13-6
title: Numerical Techniques for Integration
pagenum: 281; label: Chapter 14
title: Applications of Integral Calculus; label: 14-1
title: Total Change in a Function
pagenum: 287; label: 14-2
title: Summation using Integrals
pagenum: 288; label: Chapter 15
title: Partial Differentiation; label: 15-1
title: Partial Differentiation
pagenum: 290; label: Chapter 16
title: Computing; label: 16-2
title: Introduction to Programming
pagenum: 297; title: Appendixes; label: A
title: Properties of Real Numbers
pagenum: 298; label: B
title: Review of Algebra
pagenum: 298