000 05448nam a22005895i 4500
001 978-4-431-55060-0
003 DE-He213
005 20200421111850.0
007 cr nn 008mamaa
008 140714s2014 ja | s |||| 0|eng d
020 _a9784431550600
_9978-4-431-55060-0
024 7 _a10.1007/978-4-431-55060-0
_2doi
050 4 _aTA329-348
050 4 _aTA640-643
072 7 _aTBJ
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
245 1 2 _aA Mathematical Approach to Research Problems of Science and Technology
_h[electronic resource] :
_bTheoretical Basis and Developments in Mathematical Modeling /
_cedited by Ryuei Nishii, Shin-ichiro Ei, Miyuki Koiso, Hiroyuki Ochiai, Kanzo Okada, Shingo Saito, Tomoyuki Shirai.
264 1 _aTokyo :
_bSpringer Japan :
_bImprint: Springer,
_c2014.
300 _aXII, 507 p. 149 illus., 68 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematics for Industry,
_x2198-350X ;
_v5
505 0 _aPart 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 -- Gr�obner 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 Schr�odinger 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.
520 _aThis 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 shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.
650 0 _aEngineering.
650 0 _aComputer security.
650 0 _aMathematical models.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 1 4 _aEngineering.
650 2 4 _aAppl.Mathematics/Computational Methods of Engineering.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
650 2 4 _aSystems and Data Security.
700 1 _aNishii, Ryuei.
_eeditor.
700 1 _aEi, Shin-ichiro.
_eeditor.
700 1 _aKoiso, Miyuki.
_eeditor.
700 1 _aOchiai, Hiroyuki.
_eeditor.
700 1 _aOkada, Kanzo.
_eeditor.
700 1 _aSaito, Shingo.
_eeditor.
700 1 _aShirai, Tomoyuki.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9784431550594
830 0 _aMathematics for Industry,
_x2198-350X ;
_v5
856 4 0 _uhttp://dx.doi.org/10.1007/978-4-431-55060-0
912 _aZDB-2-ENG
942 _cEBK
999 _c56065
_d56065