Mathematical Modeling with Maple

Name: Mathematical Modeling with Maple
Price: 31.31 USD
Availability: InStock
ISBN: 9780495109419

ISBN-10: 049510941X

ISBN-13: 9780495109419

Edition: 2012

Authors: William P. Fox

List price: $27.99

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Description:

Planning is at the heart of management and writing an effective business plan is essential when thinking about and creating a new venture. Venture planning is important whether the opportunity is a new business, a new activity in an existing business, a public sector development requiring investment, or a not-for-profit project. Luke Pittaway's new textbook is ideal for all students who are engaged in the practical process of writing a business plan. Its practical orientation, user-friendly pedagogic features and accompanying website resources take the student through the process of writing a business plan from the generation of the initial idea to an assessment of issues such as the forms…

Book details

List price: $27.99
Copyright year: 2012
Publisher: Cengage Learning
Binding: Hardcover
Pages: 592
Size: 8.50" wide x 10.25" long x 1.00" tall
Weight: 2.750
Language: English

William P. Fox is a professor in the Department of Defense Analysis at the Naval Postgraduate School in Monterey, CA. Previously; he was an instructor, assistant professor, associate professor, and professor of operations research while serving in the Department of Mathematical Sciences at the United States Military Academy (USMA) for more than 12 years. He also served as the Chair of Mathematics at Francis Marion University for eight years before coming to the Naval Postgraduate School. Dr. Fox has taught a variety of mathematics courses in his career, and his areas of interest include mathematical modeling, optimization, statistics, and simulations. He holds his undergraduate degree from…




Introduction To Maple


The Structure of Maple


A General Introduction to Maple


Maple Quick Review


Maple Training



Introduction, Overview, And The Process Of Mathematical Modeling


Introduction


The Modeling Process


Illustrative Examples



Discrete Dynamical Models


Introduction


Modeling Discrete Change


Tower of Hanoi


Drug Dosage Problem


Time Value of Money


Simple Mortgage


The Spotted Owl


Equilibrium Values and Long-term Behavior


Nonlinear Discrete Dynamical Systems


Growth of a Yeast Culture


Spread of a Contagious Disease


Systems of Discrete Dynamical Systems


Merchants


Competitive Hunter Model


Fast Food Tendencies


Modeling Predator-Prey, SIR, and Military


Predator-Prey


SIR of an Epidemic


Modeling Military Insurgencies



Model Fitting Criterion


Introduction


Different Curve Fitting Criterion


Plotting the Residuals for a Least-Squares Fit


Bass Fish


Population


Bounding on Chebyshev's



Modeling With Proportionality And Geometric Similarity


Introduction


Proportionality


Kepler's Law


Bass Fishing Derby


Geometric Similarity


Heart Sizes


Crew Races


Terror Bird



Empirical Model Building


Introduction


Simple One Term Models


Bass Fishing Derby


Terror Bird Revisited


Fitting an (n - 1)st order Polynomials to N Data Points


Polynomial Smoothing


Cost of a U.S


Postage Stamp


The Cubic Spline Model


Population Fruit Flies


Vehicle Stopping Distance


Cost of a U.S


Postage Stamp



Linear Programming


Introduction


Formulating Linear Programming Problems


Product Mix of New Drinks


Financial Planning


Blending


Production Planning


Graphical simplex


CPU Memory Chips


Feasible Region


Minimization Problem


Unbounded Case


Graphical Sensitivity Analysis


The Simplex Method and Tableaus


Linear Programming with Maple


Data Envelopment Analysis


Ranking Banks


Ranking Banks as an LP


Sensitivity Analysis with Maple



Single Variable Optimization


Introduction


Single Variable Optimization and Basic Theory


Applications of Max-Min Theory


Chemical Company


Manufacturing


SP6 Computer Development


Applied Optimization Models


Inventory Problem


Oil Rig Location


Numerical Search Methods


Unrestricted Methods


Dichotomous Search


Golden Section Search


Fibonacci Search


Interpolation Methods



Modeling Using Unconstrained Optimization: Maximization And Minimization With Several Variables


Introduction


Basic Theory


The Hessian Matrix


Unconstrained Optimization


Least Squares


Find the Island


Numerical Search Methods


Gradient Search


Modified Newton's Method



Equality And Inequality Constrained Multivariable Optimization


Introduction


Equality Constraints: Method of LaGrange Multipliers


Basic Theory


Graphical Representations


Cobb Douglas


Oil Transfers


Inequality Constraints: Kuhn-Tucker (KTC Condition)


Spanning Cones


Two-variable Linear


Maximize Profit from Perfume


Minimum Variance of Investment Returns



Models With Linear Algebra


Introduction


Introduction to Systems of Equations


Models with Unique Solutions Using Systems of Equations


A Bridge Too Far


Leontief Economic Models


Least Squares Revisited


Natural Cubic Splines Revisited


Models with Infinite Solutions using Systems of Equations


Basic Chemical Balancing


Redox Equations



Ordinary First Order Differential Equations Models


Introduction


Applied First Order Models


Radioactive Decay


Newton's Law of Cooling


Mixtures


Population Models


Spread of a Disease


Slope Fields and Qualitative Assessment of Autonomous ODEs


Analytical Solutions to First ODEs


Separation of Variables


Linear Equations


Numerical Methods for Solutions to First Order Differential Equations


Euler's Method


Improved Euler's Method


Runga-Kutta 4 Method



Systems Of Linear First Order Differential Equations


Introduction


Applied Systems of ODEs and Models


Economic Supply and Demand


Circuits


Competition


Predator-Prey


Diffusion


Insurgencies


Phase Portraits and Qualitative Assessment of Autonomous Systems


Fish Pond


Solving Homogeneous and Non-homogeneous Systems of ODEs with Constant Coefficients


Applied Systems with Maple


Diffusion


Diffusion through Two Membranes


Electrical Circuits


Numerical Methods to Systems of ODEs with Maple


Predator-Prey Model



Discrete Probability Models


Introduction


Introduction to Classical Probability


Reliability Models in Engineering and Science


Overbooking Airlines Model


Markov Chains



Continuous Probability Models


Introduction


Reliability Revisited


Modeling using the Normal Distribution


Confidence Interval and Hypothesis Testing


Regression: Linear, Transformed, and Nonlinear



Simulation Models


Introduction


Introduction


Monte Carlo Simulation


Deterministic Behavior


Area Problems


Volume Problems


Probabilistic Behavior


Applied Simulation Models


Missile Attacks


Gasoline Inventory



Modeling With Game Theory


Introduction


Zero-sum Games


Predator-Prey


Hitter-Pitcher Duel


Non- Zero-sum Games


Nash Arbitration


Illustrative Example: Artist's Guild Strike