Douglas R. Shier, K. T. Wallenius

Applied Mathematical Modeling

Herausgeber: Shier, Douglas R.

• Gebundenes Buch

Produktbeschreibung

The practice of modeling is best learned by those armed with fundamental methodologies and exposed to a wide variety of modeling experience. Applied Mathematical Modeling fills a gap within modeling texts, focusing on real-world applications across a broad range of disciplines. The first part of the book discusses the general components of the modeling process and highlights the potential of modeling in practice. The second part provides a rich compendium of case studies, each one complete with examples, exercises, and projects.

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Produktdetails

• Verlag: Routledge
• Seitenzahl: 468
• Erscheinungstermin: 1. November 1999
• Englisch
• Abmessung: 240mm x 161mm x 30mm
• Gewicht: 865g
• ISBN-13: 9781584880486
• ISBN-10: 1584880481
• Artikelnr.: 21536341

Autorenporträt

D. R. Shier, K. T. Wallenius

Inhaltsangabe

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 One-Time Pads The Basic Hill System and Variations Exercises and
Projects References MATHEMATICAL METHODS IN PUBLIC-KEY 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 TIME-VARYING 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 Constant-Coefficient Convection-Dispers