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ISBN-10: 0840065558

ISBN-13: 9780840065551

Edition: 2012

Authors: Geoffrey C. Berresford, Andrew M. Rockett

List price: $83.95
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Book details

List price: $83.95
Copyright year: 2012
Publisher: Brooks/Cole
Publication date: 1/1/2011
Binding: Paperback
Pages: 320
Size: 8.25" wide x 10.50" long x 0.75" tall
Weight: 2.178
Language: English

Dr. Berresford received his Ph.D. from the Courant Institute of Mathematical Sciences at New York University and taught at the State University of New York at Purchase before joining the faculty at the C.W. Post campus of Long Island University. Besides co-authoring four textbooks with Dr. Rockett, he has published papers in differential equations, linear programming, logic, and probability, and has received several teaching awards and the Distinguished Service Award from The Metropolitan New York Section of the Mathematical Association of America.

After completing his Ph.D. at Stony Brook University, Dr. Rockett joined the mathematics faculty at C.W. Post and began his collaborations with Dr. Berresford. His book with Peter Szusz on CONTINUED FRACTIONS (1992) was hailed by Ivan Niven as "an outstanding addition to the literature of mathematics," and he served the Kappa Mu Epsilon mathematics honor society as editor of the mathematics journal The Pentagon from 1989 to 1995. Dr. Rockett serves as a reviewer for several journals, including Mathematical Reviews for the American Mathematical Society.

Real Numbers, Inequalities, and Lines
Real Numbers and Inequalities
Sets and Intervals
The Cartesian Plane
Lines and Slopes
Equations of Lines
General Linear Equation
Positive Integer Exponents
Properties of Exponents
Zero and Negative Exponents
Roots and Fractional Exponents
Fractional Exponents
Avoiding Pitfalls in Simplifying
Learning Curves in Airplane Production
Solving Quadratic Equations
Derivation of the Vertex Formula
Derivation of the Quadratic Formula
More About Functions
Polynomial Functions
Rational Functions
Piecewise Linear Functions
Composite Functions
Shifts of Graphs
Exponential Functions
Exponential Functions
Compound IntereSt. Depreciation by a Fixed Percentage
The Number e
Continuous Compounding of IntereSt
Intuitive Meaning of Continuous Compounding
The Function y = ex
Exponential Growth
Justification of the Formula for Continuous Compounding
Logarithmic Functions
Common Logarithms
Properties of Common Logarithms
Graphs of Logarithmic and Exponential Functions
Logarithms to Other Bases
Natural Logarithms
Carbon-14 Dating
Mathematics Of Finance
Simple IntereSt
Simple Interest Formula
Total Amount Due on a Loan
Discounted Loans and Effective Interest Rates
Compound IntereSt
Compound Interest Formula
Growth Times
Rule of
Effective Rates
A First Example
Geometric Series
Accumulated Account Formula
Sinking Funds
How Long Will It Take?
Present Value of an Annuity
Unpaid Balance
Systems Of Equations And Matrices
Systems of Two Linear Equations in Two Variables
Systems of Equations
Graphical Representations of Equations
Equivalent Systems of Equations
Elimination Method
Matrices and Linear Equations in Two Variables
Augmented Matrices from Systems of Equations
Row Operations
Solving Equations by Row Reduction
Systems of Linear Equations and the Gauss-Jordan Method
Names for Many Variables
Row-Reduced Form
Matrix Arithmetic
Equality of Matrices
Transpose of a Matrix
Identity Matrix
Scalar Multiplication
Matrix Addition and Subtraction
Matrix Multiplication as Evaluation
Identity Matrices
Matrix Multiplication with Systems of Equations
Matrix Multiplication and Row Operations
Inverse Matrices and Systems of Linear Equations
Inverse Matrices
How to Find Inverse Matrices
Solving AX = B Using A-1
Introduction to Modeling: Leontief Models
Linear Programming
Linear Inequalities
Inequalities in Two Variables
Vertices of Feasible Regions
Bounded and Unbounded Regions
Two-Variable Linear Programming Problems
Linear Programming Problems
Fundamental Theorem of Linear Programming
Extensions to Larger Problems
The Simplex Method for Standard Maximum Problems
Standard Maximum Problems
Matrix Form of a Standard Maximum Problem
The Initial Simplex Tableau
Basic and Nonbasic Variables
The Pivot Element
The Pivot Operation
The Simplex Method
Standard Minimum Problems and Duality
Standard Minimum Problems
The Dual of a Standard Minimum Problem
Matrix Form
Mixed Constraints: A Transportation Problem
Sets, Counting, and Venn Diagrams
Sets and Set Operations
Addition Principle for Counting
The Multiplication Principle for Counting
The Number of Subsets of a Set
Permutations and Combinations
Probability Spaces
Random Experiments and Sample Spaces
Probabilities of Possible Outcomes
Probabilities of Events
Probability That an Event Does Not Occur
Probability Space
Addition Rule for Probability
Conditional Probability and Independence
Conditional Probability
The Product Rule for Probability
Independent Events
Bayes' Formula
Bayes' Formula
Random Variables and Distributions
Random Variables
Expected Value
Binomial Distribution
Random Samples and Data Organization
Random Samples
Bar Chart
Measures of Central Tendency
Mean, Median, and Mode
Measures of Variation
Box-and-Whisker Plot
Interpreting Box-and-Whisker Plots
Sample Standard Deviation
Normal Distributions and Binomial Approximation
Discrete and Continuous Random Variables
Normal Distribution
The Normal and Binomial Distributions
Markov Chains
States and Transitions
States and Transitions
Markov Chains
Types of Transition Matrices
State Distribution Vectors
The kth State Distribution Vector
Duration in a Given State
Regular Markov Chains
Regular Markov Chains
The Fundamental Theorem of Regular Markov Chains
How to Solve D ? T = D
Absorbing Markov Chains
Absorbing Markov Chains
Standard Form
Transition Times and Absorption Probabilities
Game Theory
Two-Person Games and Saddle Points
Payoff Matrix
Optimal Strategy
Finding Saddle Points
Mixed Strategies
Mixed Strategies and Expected Values
Optimal Mixed Strategies for 2 ? 2 Games
Other Interpretations of Mixed Strategies
Games and Linear Programming
Games as Linear Programming Problems
Every Game Has a Solution