A Mathematical Approach to Research Problems of Science and Technology Theoretical Basis and Developments in Mathematical Modeling /

This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also sh...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Nishii, Ryuei (Editor ), Ei, Shin-ichiro (Editor ), Koiso, Miyuki (Editor ), Ochiai, Hiroyuki (Editor ), Okada, Kanzo (Editor ), Saito, Shingo (Editor ), Shirai, Tomoyuki (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Tokyo : Springer Japan : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Mathematics for Industry, 5
Temas:
Engineering mathematics.
Engineering-Data processing.
Mathematical models.
Data protection.
Mathematical and Computational Engineering Applications.
Mathematical Modeling and Industrial Mathematics.
Data and Information Security.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Part I Algebra
  • Mathematics - As An Infrastructure of Technology and Science
  • Remarks on Quantum Interaction Models by Lie Theory and Modular Forms via Non-Commutative Harmonic Oscillators
  • Introduction to Public-Key Cryptography
  • Code-Based Public-Key Encryption
  • Gröbner bases and its applications
  • Part II Geometry
  • Stability Analysis for Variational Problems for Surfaces with Constraint
  • Discrete Models of Isoperimetric Deformation of Plane Curves
  • Computing Optimal Cycles of Homology Groups
  • Singularity Theory of Differentiable Maps and Data Visualization
  • Part III Analysis
  • Mathematical Analysis for Pattern Formation Problems
  • Models and Applications of Organism Transportation
  • The Renormalization Group Method for Ordinary Differential Equations
  • A Phase Field Approach to Mathematical Modeling of Crack Propagation
  • Variational Methods in Differential Equations
  • Part IV Probability and Statistics
  • Finite Markov Chains and Markov Decision Processes
  • Introduction to The Premium Principle Based on The Wang Transform
  • Stochastic Process Models
  • Signal Detection and Model Selection
  • Regression Analysis and Its Development
  • Stochastic Analytical Models in Mathematical Finance
  • An Introduction to the Minimum Description Length Principle
  • An Introduction to Ergodic Theory
  • Part V Applied Mathematics
  • Discrete Optimization: Network Flows and Matchings
  • Strict Feasibility of Conic Optimization Problems
  • Theory of Automata, Abstraction and Applications
  • Markov Chain Monte Carlo Algorithms
  • Modeling of Fluid Flows by Nonlinear Schrödinger Equation
  • Financial Applications of Quasi-Monte Carlo Methods
  • Pure Mathematics and Applied Mathematics are Inseparably intertwined - Observation of the Early Analysis of the Infinity
  • High Performance Computing for Mathematical Optimization Problem
  • Part VI Application of Mathematics
  • Modeling of Head-Disk Interface for Magnetic Recording
  • Non-Stationary Analysis of Blast Furnace Through Solution of Inverse Problem and Recurrence Plot
  • Time-Periodic Nonlinear Steady Field Analysis
  • Mathematical Models in First-Principles Calculations for Materials Science
  • Mathematics and Manufacturing -the Symbolic Approach-
  • Error Correcting Codes based on Probabilistic Decoding and Sparse Matrices.

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