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 Chichester : E. Horwood ; New York : Halsted Press, 1984.
 Description
 Book — xvi, 491 p. : ill. ; 24 cm.
 Online
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QA401 .T43 1984  Available 
2. International journal of mathematical modelling and numerical optimisation [electronic resource]. [2009  ]
 [Olney, England] : Inderscience
 Description
 Journal/Periodical
3. Mathematical modeling [2017]
 Eck, Christof, author.
 Cham, Switzerland : Springer, [2017]
 Description
 Book — xv, 509 pages : illustrations (some color) ; 24 cm.
 Online
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QA401 .E25 2017  Unknown 
4. Mathematical modelling [2016]
 Switzerland : Springer, 2016.
 Description
 Book — 1 online resource (xi, 242 pages) : illustrations (some color).
5. Topics in Mathematical Modeling [2016]
 Tung, K. K., author.
 Princeton, NJ : Princeton University Press, [2016]
 Description
 Book — 1 online resource
 Summary

 Frontmatter
 Contents
 Preface
 1. Fibonacci Numbers, the Golden Ratio, and Laws of Nature?
 2. Scaling Laws of Life, the Internet, and Social Networks
 3. Modeling Change One Step at a Time
 4. Differential Equation Models: Carbon Dating, Age of the Universe, HIV Modeling
 5. Modeling in the Physical Sciences, Kepler, Newton, and Calculus
 6. Nonlinear Population Models: An Introduction to Qualitative Analysis Using Phase Planes
 7. Discrete Time Logistic Map, Periodic and Chaotic Solutions
 8. Snowball Earth and Global Warming
 9. Interactions: Predator–Prey, Spraying of Pests, Carnivores in Australia
 10. Marriage and Divorce
 11. Chaos in Deterministic Continuous Systems, Poincaré and Lorenz
 12. El Niño and the Southern Oscillation
 13. Age of the Earth: Lord Kelvin’s Model
 14. Collapsing Bridges: Broughton and Tacoma Narrows
 Appendix A. Differential Equations and Their Solutions
 Appendix B. Matlab Codes
 Bibliography
 Index
6. Mathematical modeling [2013]
 Meerschaert, Mark M., 1955
 4th ed.  Waltham, MA : Academic Press/Elsevier, 2013.
 Description
 Book — xii, 365 p. : ill. ; 24 cm.
 Summary

 Optimization models. OneVariable Optimization ; Multivariable Optimization ; Computational Methods for Optimization.
 Dynamic models. Introduction to Dynamic Models ; Analysis of Dynamic Models ; Simulation of Dynamic Models.
 Probability models. Introduction to Probability Models ; Stochastic Models ; Simulation of Probability Models.
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QA401 .M48 2013  Unknown 
7. Mathematical modelling in one dimension : an introduction via difference and differential equations [2013]
 Banasiak, J.
 Cambridge, UK ; New York : Cambridge University Press, 2013.
 Description
 Book — x, 110 p. : ill. ; 22 cm.
 Summary

 1. Mathematical toolbox
 2. Basic difference equations models and their analysis
 3. Basic differential equations models
 4. Qualitative theory for a single equation
 5. From discrete to continuous models and back Bibliography Index.
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QA401 .B36 2013  Unknown 
8. Application of three nonlinear econometric approaches to identify business cycles in Peru [2010]
 Rodríguez Briones, Gabriel H.
 Lima : Pontificia Universidad Católica del Perú, Departamento de Economía, [2010]
 Description
 Book — 41 p. : ill. ; 30 cm.
 Online
 Eppstein, David.
 1st ed.  Berlin : Springer, c2008.
 Description
 Book — x, 328 p. : ill. (some col.) ; 25 cm.
 Summary

The focus of this book is a mathematical structure modeling a physical or biological system that can be in any of a number of 'states.' Each state is characterized by a set of binary features, and differs from some other neighbor state or states by just one of those feature. A simple example of a 'state' is a partial solution of a jigsaw puzzle, which can be transformed into another partial solution or into the final solution just by adding or removing a single adjoining piece. The evolution of such a system over time is considered. Such a structure is analyzed from algebraic and probabilistic (stochastic) standpoints.
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QA401 .E77 2008  Available 
10. Mathematical modeling [2007]
 Meerschaert, Mark M., 1955
 3rd ed.  Amsterdam [The Netherlands] ; Burlington, MA : Elsevier/Academic Press, c2007.
 Description
 Book — xii, 335 p. : ill. ; 24 cm.
 Summary

 Pt. I. Optimization Models.
 1. OneVariable Optimization. 1.1. The FiveStep Method. 1.2. Sensitivity Analysis. 1.3. Sensitivity and Robustness.
 2. Multivariable Optimization. 2.1. Unconstrained Optimization. 2.2. Lagrange Multipliers. 2.3. Sensitivity Analysis and Shadow Prices.
 3. Computational Methods for Optimization. 3.1. OneVariable Optimization. 3.2. Multivariable Optimization. 3.3. Linear Programming
 Pt. II. Dynamic Models.
 4. Introduction to Dynamic Models. 4.1. SteadyState Analysis. 4.2. Dynamical Systems. 4.3. DiscreteTime Dynamical Systems.
 5. Analysis of Dynamic Models. 5.1. Eigenvalue Methods. 5.2. Eigenvalue Methods for Discrete Systems. 5.3. Phase Portraits.
 6. Simulation of Dynamic Models. 6.1. Introduction to Simulation. 6.2. ContinuousTime Models. 6.3. The Euler Method
 Pt. III. Probability Models.
 7. Introduction to Probability Models. 7.1. Discrete Probability Models. 7.2. Continuous Probability Models.
 8. Stochastic Models. 8.1. Markov Chains. 8.2. Markov Processes. 8.3. Linear Regression.
 9. Simulation of Probability Models. 9.1. Monte Carlo Simulation. 9.2. The Markov Property. 9.3. Analytic Simulation.
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QA401 .M48 2007  Unknown 
11. Topics in mathematical modeling [2007]
 Tung, K. K.
 Princeton, N.J. : Princeton University Press, c2007.
 Description
 Book — xv, 300 p. : ill. ; 27 cm.
 Summary

 Fibonacci numbers, the golden ratio, and the laws of nature?
 Scaling laws of life, the internet, and social networks
 Modeling change one step at a time
 Differential equation models: carbon dating, age of the universe, HIV modeling
 Modeling in the physical sciences, Kepler, Newton, and calculus
 Nonlinear population models: an introduction to qualitative analysis using phase planes
 Discrete time logistic map, periodic and chaotic solutions
 Snowball earth and global warming
 Interactions: predatorprey, spraying of pests, carnivores in Australia
 Marriage and divorce
 Chaos in deterministic continuous systems, Poincaré and Lorenz
 El Niño and the southern oscillation
 Age of the earth: Lord Kelvin's model
 Collapsing bridges: Broughton and Tacoma Narrows
 Appendix A: Differential equations and their solutions
 Appendix B: MATLAB codes.
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QA401 .K85 2007  Unknown 
 Providence, R.I. : American Mathematical Society, c2005.
 Description
 Book — xvi, 196 p. : ill. ; 22 cm.
 Summary

 Crystallization dynamics Will the valve hold? How much will that annuity cost me? Dimensional analysis Predatorprey systems A control problem in fishery management Formal justice Traffic dynamics: A microscopic model Traffic dynamics: Macroscopic modelling Bibliography.
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QA401 .M384 2005  Available 
 Dordrecht ; Boston : Kluwer Academic Publishers, ©2004.
 Description
 Book — xxxvii, 241 pages : illustrations (some color) ; 25 cm
 Summary

 Publications of Joseph B. Keller
 Monte Carlo simulation for American options / R. Caflisch and S. Chaudhary
 Some problems in electromagnetics / M. Cheney
 Pattern formation in a suspension of swimming microorganisms: Nonlinear aspects / R. Childress and E. Spiegel
 Nonreflecting boundaries: Highorder treatment / D. Givoli
 Nonreflecting boundary conditions for time dependent waves / M. Grote
 Weak shock reflection / J. Hunter and A.M. Tesdall
 Bifurcation theory, symmetry breaking and homogenization in continuum mechanics descriptions of DNA / J. Maddocks
 On flames as discontinuity surfaces in gasdynamic flows / B.J. Matkowsky
 Contact lines / M. Miksis
 Eikonal functions: Old and new / J. Rubinstein and G. Wolansky
 Physical insight, mathematical modeling and asymptotics / L. Ting
 Waves, bubbles and jets / J.M. VandenBroeck.
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QA401 .C45 2004  Available 
14. Principles of mathematical modeling [2004]
 Dym, Clive L.
 2nd ed. / Clive L. Dym.  Amsterdam ; Boston : Elsevier Academic Press, c2004.
 Description
 Book — xviii, 303 p. : ill. ; 24 cm.
 Summary

 Part A: Foundations
 1. What is Mathematical Modeling?
 2. Dimensional Analysis
 3. Scale
 4. Approximating and Validating Models Part B: Applications
 5. Exponential Growth and Decay
 6. Traffic Flow Models
 7. Modeling Free Vibration
 8. Applying Vibration Models
 9. Optimization: What is the Best...?
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QA401 .D9 2004  Unknown 
 Dym, Clive L.
 2nd ed. / Clive L. Dym.  Amsterdam ; Boston : Elsevier Academic Press, c2004.
 Description
 Book — xviii, 303 p. : ill.
 Summary

 Part A: Foundations
 1. What is Mathematical Modeling?
 2. Dimensional Analysis
 3. Scale
 4. Approximating and Validating Models Part B: Applications
 5. Exponential Growth and Decay
 6. Traffic Flow Models
 7. Modeling Free Vibration
 8. Applying Vibration Models
 9. Optimization: What is the Best...?
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 Adam, John A.
 Princeton, N.J. : Princeton University Press, c2003.
 Description
 Book — xxii, 360 p., [24] p. of plates : ill. (some col.) ; 24 cm.
 Summary

 Preface: The motivation for the book Acknowledgments Credits xiii Prologue: Why I Might Never Have Written This Book xxi CHAPTER ONE: The Confluence of Nature and Mathematical Modeling
 1 CHAPTER TWO: Estimation: The Power of Arithmetic in Solving Fermi Problems
 17 CHAPTER THREE: Shape, Size, and Similarity: The Problem of Scale
 31 CHAPTER FOUR: Meteorological Optics I: Shadows, Crepuscular Rays, and Related Optical Phenomena
 57 CHAPTER FIVE: Meteorological Optics II: A "Calculus I" Approach to Rainbows, Halos, and Glories
 80 CHAPTER SIX: Clouds, Sand Dunes, and Hurricanes
 118 CHAPTER SEVEN: (Linear) Waves of All Kinds
 139 CHAPTER EIGHT: Stability
 173 CHAPTER NINE: Bores and Nonlinear Waves
 194 CHAPTER TEN: The Fibonacci Sequence and the Golden Ratio
 213 CHAPTER ELEVEN: Bees, Honeycombs, Bubbles, and Mud Cracks
 231 CHAPTER TWELVE: River Meanders, Branching Patterns, and Trees
 254 CHAPTER THIRTEEN: Bird Flight
 295 CHAPTER FOURTEEN: HowDid the Leopard Get Its Spots?
 309 APPENDIX: Fractals: An Appetite Whetter...
 336 BIBLIOGRAPHY
 341 INDEX 357.
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QA401 .A27 2003  Unknown 
17. Business Cycle Theory [2002]
 Arnold, Lutz G.
 Oxford : Oxford University Press, 2002.
 Description
 Book — 1 online resource (176 pages)
 Summary

 1. Introduction
 2. Keynesian Economics
 3. Monetarism
 4. New Classical Economics
 5. Real Business Cycle
 6. New Keynesian Economics
 7. Lessons About Business Cycles
 Appendix 1 Stochastic SecondOrder Difference Equations
 Appendix 2 The OverInvestment Theory
 Appendix 3 Goodwinian Model.
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 Shier, Douglas R.
 Boca Raton : Chapman & Hall/CRC, c2000.
 Description
 Book — xxiv, 443 p. : ill. ; 25 cm.
 Summary

 THE IMPACT AND BENEFITS OF MATHEMATICAL MODELING Introduction Mathematical Aspects, Alternatives, Attitudes Mathematical Modeling Teaching Modeling Benefits of Modeling Educational Benefits Modeling and Group Competition Other Benefits of Modeling The Role of Axioms in Modeling The Challenge References REMARKS ON MATHEMATICAL MODEL BUILDing Introduction An Example of Mathematical Modeling Model Construction and Validation Model Analysis Some Pitfalls Conclusion References UNDERSTANDING THE UNITED STATES AIDS EPIDEMIC Introduction Prelude: The Postwar Polio Epidemic AIDS: A New Epidemic for America Why an AIDS Epidemic in America? A More Detailed Look at the Model Forays into the Public Policy Arena Modeling the Mature Epidemic AIDS as a Facilitator of Other Epidemics Comparisons with First World Countries Conclusion: A Modeler's Portfolio References A MODEL FOR THE SPREAD OF SLEEPING SICKNESS Introduction The Compartmental Model Mathematical Results Discussion Alternative Models Exercises and Projects References MATHEMATICAL MODELS IN CLASSICAL CRYPTOLOGY Introduction Some Terminology of Cryptology Simple Substitution Systems The Vigenere Cipher and OneTime Pads The Basic Hill System and Variations Exercises and Projects References MATHEMATICAL METHODS IN PUBLICKEY CRYPTOLOGY Introduction Cryptosystems Based on Integer Factorization Cryptosystems Based on Discrete Logarithms Digital Signatures Exercises and Projects References NONLINEAR TRANSVERSE VIBRATIONS IN AN ELASTIC MEDIUM Introduction A String Embedded in an Elastic Medium An Approximation Technique Base Equation Solution of Ricatti Equation Exercises and Projects References SIMULATING NETWORKS WITH TIMEVARYING ARRIVALS Introduction The Registration Problem Generating Random Numbers Statistical Tools Arrival Processes Queueing Models Exercises and Projects References MATHEMATICAL MODELING OF UNSATURATED POROUS MEDIA FLOW AND TRANSPORT Introduction Governing Equations ConstantCoefficient ConvectionDispersion Coupling the Equations Summary and Suggestions for Further Study Exercises and Projects References INVENTORY REPLENISHMENT POLICIES AND PRODUCTION STRATEGIES Introduction Piston Production and the Multinomial Model Sleeve Inventory Safety Stocks Comparison of Three Reordering Policies Variable Piston Production Quantities The Supplier's Production Problem Target Selection for Multinomial Distributions The Supplier's Cost Function Target Selection Using Normal Distributions Conclusion Exercises and Projects References MODELING NONLINEAR PHENOMENA BY DYNAMICAL SYSTEMS Introduction Simple Pendulum Periodically Forced Pendulum Exercises and Projects References MODULATED POISSON PROCESS MODELS FOR BURSTY TRAFFIC BEHAVIOR Introduction Workstation Utilization Problem Constructing a Modulated Poisson Process Simulation Techniques Analysis Techniques Exercises and Projects References GRAPHTHEORETIC ANALYSIS OF FINITE MARKOV CHAINS Introduction State Classification Periodicity Conclusion Exercises and Projects References SOME ERRORCORRECTING CODES AND THEIR APPLICATIONS Introduction Background Coding Theory Computer Memories and Hamming Codes Photographs in Space and ReedMuller Codes Compact Discs and ReedSolomon Codes Conclusion Exercises and Projects References BROADCASTING AND GOSSIPING IN COMMUNICATION NETWORKS Introduction Standard Gossiping and Broadcasting Examples of Communication Results from Selected Gossiping Problems Conclusion Exercises and Projects References MODELING THE IMPACT OF ENVIRONMENTAL REGULATIONS ON HYDROELECTRIC REVENUES Introduction Preliminaries Model Formulation Model Development Case Study Exercises and Projects References VERTICAL STABILIZATION OF A ROCKET ON A MOVABLE PLATFORM Introduction Mathematical Model StateSpace Control Theory The KNvD Algorithm Exercises and Problems References DISTINGUISHED SOLUTIONS OF A FORCED OSCILLATOR Introduction Linear Model with Modified External Forcing Nonlinear Oscillator Periodically Forced by Impulses A Suspension Bridge Model Model Extension to Two Spatial Dimensions Exercises and Projects References MATHEMATICAL MODELING AND COMPUTER SIMULATION OF A POLYMERIZATION PROCESS Introduction Formulating a Mathematical Model Computational Approach Conclusion Exercises and Problems References THE CLEMSON GRADUATE PROGRAM Introduction Historical Background Transformation of a Department The Clemson Program Communication Skills Program Governance Measures of Success Conclusion References.
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QA401 .S465 2000  Unknown 
 Boston : Birkhäuser, c2000.
 Description
 Book — xiv, 419 p. : ill. ; 25 cm.
 Summary

 Preface Generalized Kinetic Models in Applied Science / N. Bellomo and M. Pulvirenti Rapid Granular Flows: Kinetics and Hydrodynamics / I. Goldhirsch Collective Behavior of OneDimensional Granular Media / D. Benedetto, E. Caglioti, and M. Pulvirenti Notes on Mathematical Problems on the Dynamics of Dispersed Particles Interacting through a Fluid / P.E. Jabin and B. Perthame The BeckerDoring Equations / M. Slemrod Nonlinear Kinetic Models with Chemical Reactions / C.P. Grunfeld Development of Boltzmann Models in Mathematical Biology / N. Bellomo and S. Stocker Kinetic Traffic Flow Models / A. Klar and R. Wegener Kinetic Limits for Large Communication Networks / C. Grahm Numerical Simulation of the Boltzmann Equation by Particle Methods / J. Struckmaier.
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QA401 .M53715 2000  Available 
20. A course in mathematical modeling [1999]
 Mooney, Douglas D.
 [Washington, DC] : Mathematical Association of America, c1999.
 Description
 Book — xx, 431 p. : ill. ; 26 cm.
 Summary

 Modeling basics
 1. Discrete dynamical systems
 2. Discrete stochasticity
 3. Stages, states, and classes
 4. Empirical modeling
 5. Continuous models
 6. Continuous stochasticity Appendices.
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QA9.7 .M66 1999  Unknown 
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