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

Author:   Ryuei Nishii ,  Shin-ichiro Ei ,  Miyuki Koiso ,  Hiroyuki Ochiai
Publisher:   Springer Verlag, Japan
Edition:   Softcover reprint of the original 1st ed. 2014
Volume:   5
ISBN:  

9784431563938


Pages:   507
Publication Date:   23 August 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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A Mathematical Approach to Research Problems of Science and Technology: Theoretical Basis and Developments in Mathematical Modeling


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Author:   Ryuei Nishii ,  Shin-ichiro Ei ,  Miyuki Koiso ,  Hiroyuki Ochiai
Publisher:   Springer Verlag, Japan
Imprint:   Springer Verlag, Japan
Edition:   Softcover reprint of the original 1st ed. 2014
Volume:   5
Weight:   8.727kg
ISBN:  

9784431563938


ISBN 10:   4431563938
Pages:   507
Publication Date:   23 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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 ThroughSolution 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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