Mathematical Modeling with Multidisciplinary Applications 1st Edition by Xin She Yang ISBN 1118458621 9781118458624

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Product details:

ISBN 10: 1118458621

ISBN 13: 9781118458624

Author:  Xin-She Yang 

Mathematical Modeling with Multidisciplinary Applications 1st Edition : Features mathematical modeling techniques and real-world processes with applications in diverse fields Mathematical Modeling with Multidisciplinary Applications details the interdisciplinary nature of mathematical modeling and numerical algorithms. The book combines a variety of applications from diverse fields to illustrate how the methods can be used to model physical processes, design new products, find solutions to challenging problems, and increase competitiveness in international markets. Written by leading scholars and international experts in the field, the book presents new and emerging topics in areas including finance and economics, theoretical and applied mathematics, engineering and machine learning, physics, chemistry, ecology, and social science. In addition, the book thoroughly summarizes widely used mathematical and numerical methods in mathematical modeling and features: Diverse topics such as partial differential equations (PDEs), fractional calculus, inverse problems by ordinary differential equations (ODEs), semigroups, decision theory, risk analysis, Bayesian estimation, nonlinear PDEs in financial engineering, perturbation analysis, and dynamic system modeling Case studies and real-world applications that are widely used for current mathematical modeling courses, such as the green house effect and Stokes flow estimation Comprehensive coverage of a wide range of contemporary topics, such as game theory, statistical models, and analytical solutions to numerical methods Examples, exercises with select solutions, and detailed references to the latest literature to solidify comprehensive learning New techniques and applications with balanced coverage of PDEs, discrete models, statistics, fractional calculus, and more Mathematical Modeling with Multidisciplinary Applications is an excellent book for courses on mathematical modeling and applied mathematics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for research scientists, mathematicians, and engineers who would like to develop further insights into essential mathematical tools.

 

Mathematical Modeling with Multidisciplinary Applications 1st Edition Table of contents:

• Part I: Introduction and Foundations

  • Chapter 1: Differential Equations
  • Chapter 2: Mathematical Modeling
  • Chapter 3: Numerical Methods: An Introduction
  • Chapter 4: Teaching Mathematical Modeling in Teacher Education: Efforts and Results

• Part II: Mathematical Modeling with Multidisciplinary Applications

  • Chapter 5: Industrial Mathematics with Applications
  • Chapter 6: Binary and Ordinal Data Analysis in Economics: Modeling and Estimation
  • Chapter 7: Inverse Problems in ODEs
  • Chapter 8: Estimation of Model Parameters
  • Chapter 9: Linear and Nonlinear Parabolic Partial Differential Equations in Financial Engineering
  • Chapter 10: Decision Modeling in Supply Chain Management
  • Chapter 11: Modeling Temperature for Pricing Weather Derivatives
  • Chapter 12: Decision Theory under Risk and Applications in Social Sciences: I. Individual Decision Making
  • Chapter 13: Fractals, with Applications to Signal and Image Modeling
  • Chapter 14: Efficient Numerical Methods for Singularly Perturbed Differential Equations

• Part III: Advanced Modeling Topics

  • Chapter 15: Fractional Calculus and its Applications
  • Chapter 16: The Goal Programming Model: Theory and Applications
  • Chapter 17: Decision Theory under Risk and Applications in Social Sciences: II. Game Theory
  • Chapter 18: Control Problems on Differential Equations
  • Chapter 19: Markov-Jump Stochastic Models for Tropical Convection

 

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