Mathematical and computational modeling : with applications in natural and social sciences, engineering, and the arts /

• Άλλοι συγγραφείς: Melnik, Roderick (Επιμελητής έκδοσης)
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Hoboken, New Jersey : John Wiley & Sons, [2015]
• Σειρά: Pure and applied mathematics (John Wiley & Sons : Unnumbered)
• Θέματα: Mathematical models.; MATHEMATICS > General.; Electronic books.

 Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-the-art achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts also features: -Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery -Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling -Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge -Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, industrial, and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization. 

 Universality of Mathematical Models in Understanding Nature, Society, and Man-Made World / Roderick Melnik -- Magnetic Vortices, Abrikosov Lattices, and Automorphic Functions / Israel Michael Sigal -- Numerical Challenges in a Cholesky-Decomposed Local Correlation Quantum Chemistry Framework / David B. Krisiloff, [and 3 others] -- Generalized Variational Theorem in Quantum Mechanics / Mel Levy and Antonois Gonis -- A Model for the Spread of Tuberculosis with Drug-Sensitive and Emerging Multidrug-Resistant and Extensively Drug-Resistant Strains / Julien Arino and Iman A. Soliman -- The Need for More Integrated Epidemic Modeling with Emphasis on Antibiotic Resistance / Eili Y. Klein, [and 3 others] -- "Data-Driven Methods for Dynamical Systems: Quantifying Predictability and Extracting Spatiotemporal Patterns / Dimitrios Gianakios and Andrew J. Majda -- On Smoothness Concepts in Regularization for Nonlinear Inverse Problems in Banach Spaces / Bernd Hofmann -- Initial and Initial-Boundary Value Problems for First-Order Symmetric Hyperbolic Systems with Constraints / Nicolae Tarfulea -- Information Integration, Organization, and Numerical Harmonic Analysis / Ronald R. Coifman, [and 3 others] -- Satisfaction Approval Voting / Steven J. Brams and D. Marc Kilgour -- Modeling Musical Rhythm Mutations with Geometric Quantization / Godfried T. Toussaint.