Applied Mathematical Modeling: A Multidisciplinary Approach: Discrete Mathematics and Its Applications
Editat de Douglas R. Shier, K.T. Walleniusen Limba Engleză Hardback – 11 noi 1999
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Specificații
ISBN-13: 9781584880486
ISBN-10: 1584880481
Pagini: 468
Ilustrații: 41 tables
Dimensiuni: 156 x 234 x 29 mm
Greutate: 1.03 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Seria Discrete Mathematics and Its Applications
ISBN-10: 1584880481
Pagini: 468
Ilustrații: 41 tables
Dimensiuni: 156 x 234 x 29 mm
Greutate: 1.03 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Seria Discrete Mathematics and Its Applications
Public țintă
Researchers and students in applied analysis, computational mathematics, discrete mathematics, operations research, probability, and statisticsCuprins
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
Descriere
Applied Mathematical Modeling is an outstanding collection of in-depth case studies that span the mathematical sciences.