Mathematics with Applications
7th Edition
Published on 1. September 1998
Book
Hardback
880 pages
978-0-321-02294-3 (ISBN)
Description
Best known for realistic and varied applications, an abundance of helpful pedagogy, and solid algebra review, the new edition of this text offers updated and new applications, and increased optional graphing technology.
More details
Edition
7th edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 261 mm
Width: 208 mm
Thickness: 40 mm
Weight
1726 gr
ISBN-13
978-0-321-02294-3 (9780321022943)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Margaret L. Lial | Thomas W. Hungerford
Mathematics with Applications
Book
08/2002
8th Edition
Pearson
€84.17
Article exhausted; check for reprint
Content
Index of Applications.
To the Student.
1. Fundamentals of Algebra.
The Real Numbers/
First-Degree Equations.
Polynomials.
Factoring.
Rational Expressions.
Exponents and Radicals.
Summary.
Review Exercises.
Case 1: Consumers Often Defy Common Sense.
2. Graphs, Equations, and Inequalities.
Graphs.
Slope and the Equations of a Line.
Applications of Linear Equations.
Quadratic Equations.
Linear Inequalities.
Polynomial and Rational Inequalities.
Summary.
Review Exercises.
Case 2: Depreciation.
3. Functions and Graphs.
Functions.
Graphs of Functions.
Applications of Linear Functions.
Summary.
Review Exercises.
Case 3: Marginal Cost-Booz, Allen and Hamilton.
4. Polynomial And Rational Functions.
Quadratic Functions.
Applications of Quadratic Functions.
Polynomial Functions.
Rational Functions.
Summary.
Review Exercises.
Case 4: Error-Correcting Codes.
5. Exponential and Logarithmic Functions.
Exponential Functions.
Applications of Exponential Functions.
Logarithmic Functions.
Applications of Logarithmic Functions.
Summary.
Review Exercises.
Case 5: Characteristics of the Monkeyface Prickleback.
6. Mathematics of Finance.
Simple Interest and Discount.
Compound Interest.
Annuities.
Present Value of an Annuity: Amortization.
Applying Financial Formulas.
Summary.
Review Exercises.
Case 6: Time, Money, and Polynomials.
7. Systems of Linear Equations and Matrices.
Systems of Linear Equations.
The Gauss-Jordan Method.
Basic Matrix Operations.
Matrix Products and Inverses.
Applications of Matrices.
Summary.
Review Exercises.
Case 7: Leontief's Model of the American Economy.
8. Linear Programming.
Graphing Linear Inequalities in Two Variables.
Linear Programming: The Graphical Method.
Applications of Linear Programming.
The Simplex Method: Maximization.
Maximization Applications.
The Simplex Method: Duality and Minimization.
The Simplex Method: Nonstandard Problems.
Summary.
Review Exercises.
Case 8: A Minimum Cost Balanced Organic Fertilizer Mix.
9. Sets and Probability.
Sets.
Applications of Venn Diagrams.
Probability.
Basic Concepts of Probability.
Conditional Probability; Independent Events.
Bayes' Formula.
Summary.
Review Exercises.
Case 9: Medical Diagnosis.
10. Further Topics in Probability.
Permutations and Combinations.
Applications of Counting.
Binomial Probability.
Markov Chains.
Probability Distributions; Expected Value.
Decision Making.
Summary.
Review Exercises.
Case 10: Optimal Inventory for a Service Truck.
11. Introduction to Statistics.
Frequency Distributions; Measures of Central Tendency.
Measures of Variation.
Normal Distributions.
Binomial Distributions.
Summary.
Review Exercises.
Case 11: Statistical Process Control.
12. Differential Calculus.
Limits.
Rates of Change.
Tangent Lines and Derivatives.
Techniques for Finding Derivatives.
Derivatives of Products and Quotients.
The Chain Rule.
Derivatives of Exponential and Logarithmic Functions.
Continuity and Differentiability.
Summary.
Review Exercises.
Case 12: Price Elasticity of Demand.
13. Applications of the Derivative.
Derivatives and Graphs.
The Second Derivative.
Optimization Applications.
Curve Sketching (Optional).
Summary.
Review Exercises.
Case 13: A Total Cost Model for a Training Program.
14. Integral Calculus.
Antiderivatives.
Integration by Substitution.
Area and the Definite Integral.
The Fundamental Theorem of Calculus.
Applications of Integrals.
Tables of Integrals (Optional).
Differential Equations.
Summary.
Review Exercises.
Case 14: Estimating Depletion Dates for Minerals.
15. Multivariate Calculus.
Functions of Several Variables.
Partial Derivatives.
Extrema of Functions of Several Variables.
Summary.
Review Exercises.
Appendices.
A: Graphing Calculators.
Part 1: Introduction.
Part 2: Program Appendix.
B: Tables.
Answers to Selected Exercises.
Index of Applications.
Index.
To the Student.
1. Fundamentals of Algebra.
The Real Numbers/
First-Degree Equations.
Polynomials.
Factoring.
Rational Expressions.
Exponents and Radicals.
Summary.
Review Exercises.
Case 1: Consumers Often Defy Common Sense.
2. Graphs, Equations, and Inequalities.
Graphs.
Slope and the Equations of a Line.
Applications of Linear Equations.
Quadratic Equations.
Linear Inequalities.
Polynomial and Rational Inequalities.
Summary.
Review Exercises.
Case 2: Depreciation.
3. Functions and Graphs.
Functions.
Graphs of Functions.
Applications of Linear Functions.
Summary.
Review Exercises.
Case 3: Marginal Cost-Booz, Allen and Hamilton.
4. Polynomial And Rational Functions.
Quadratic Functions.
Applications of Quadratic Functions.
Polynomial Functions.
Rational Functions.
Summary.
Review Exercises.
Case 4: Error-Correcting Codes.
5. Exponential and Logarithmic Functions.
Exponential Functions.
Applications of Exponential Functions.
Logarithmic Functions.
Applications of Logarithmic Functions.
Summary.
Review Exercises.
Case 5: Characteristics of the Monkeyface Prickleback.
6. Mathematics of Finance.
Simple Interest and Discount.
Compound Interest.
Annuities.
Present Value of an Annuity: Amortization.
Applying Financial Formulas.
Summary.
Review Exercises.
Case 6: Time, Money, and Polynomials.
7. Systems of Linear Equations and Matrices.
Systems of Linear Equations.
The Gauss-Jordan Method.
Basic Matrix Operations.
Matrix Products and Inverses.
Applications of Matrices.
Summary.
Review Exercises.
Case 7: Leontief's Model of the American Economy.
8. Linear Programming.
Graphing Linear Inequalities in Two Variables.
Linear Programming: The Graphical Method.
Applications of Linear Programming.
The Simplex Method: Maximization.
Maximization Applications.
The Simplex Method: Duality and Minimization.
The Simplex Method: Nonstandard Problems.
Summary.
Review Exercises.
Case 8: A Minimum Cost Balanced Organic Fertilizer Mix.
9. Sets and Probability.
Sets.
Applications of Venn Diagrams.
Probability.
Basic Concepts of Probability.
Conditional Probability; Independent Events.
Bayes' Formula.
Summary.
Review Exercises.
Case 9: Medical Diagnosis.
10. Further Topics in Probability.
Permutations and Combinations.
Applications of Counting.
Binomial Probability.
Markov Chains.
Probability Distributions; Expected Value.
Decision Making.
Summary.
Review Exercises.
Case 10: Optimal Inventory for a Service Truck.
11. Introduction to Statistics.
Frequency Distributions; Measures of Central Tendency.
Measures of Variation.
Normal Distributions.
Binomial Distributions.
Summary.
Review Exercises.
Case 11: Statistical Process Control.
12. Differential Calculus.
Limits.
Rates of Change.
Tangent Lines and Derivatives.
Techniques for Finding Derivatives.
Derivatives of Products and Quotients.
The Chain Rule.
Derivatives of Exponential and Logarithmic Functions.
Continuity and Differentiability.
Summary.
Review Exercises.
Case 12: Price Elasticity of Demand.
13. Applications of the Derivative.
Derivatives and Graphs.
The Second Derivative.
Optimization Applications.
Curve Sketching (Optional).
Summary.
Review Exercises.
Case 13: A Total Cost Model for a Training Program.
14. Integral Calculus.
Antiderivatives.
Integration by Substitution.
Area and the Definite Integral.
The Fundamental Theorem of Calculus.
Applications of Integrals.
Tables of Integrals (Optional).
Differential Equations.
Summary.
Review Exercises.
Case 14: Estimating Depletion Dates for Minerals.
15. Multivariate Calculus.
Functions of Several Variables.
Partial Derivatives.
Extrema of Functions of Several Variables.
Summary.
Review Exercises.
Appendices.
A: Graphing Calculators.
Part 1: Introduction.
Part 2: Program Appendix.
B: Tables.
Answers to Selected Exercises.
Index of Applications.
Index.