By Ryuei Nishii, Shin-ichiro Ei, Miyuki Koiso, Hiroyuki Ochiai, Kanzo Okada, Shingo Saito, Tomoyuki Shirai

ISBN-10: 4431550593

ISBN-13: 9784431550594

ISBN-10: 4431550607

ISBN-13: 9784431550600

This ebook offers with essentially the most novel advances in mathematical modeling for utilized medical know-how, together with special effects, public-key encryption, information visualization, statistical information research, symbolic calculation, encryption, blunders correcting codes, and chance administration. It additionally indicates that arithmetic can be utilized to resolve difficulties from nature, e.g., slime mildew algorithms.

One of the original beneficial properties of this publication is that it indicates readers find out how to use natural and utilized arithmetic, particularly these mathematical theory/techniques constructed within the 20th century, and constructing now, to resolve utilized difficulties in numerous fields of undefined. each one bankruptcy contains clues on the best way to use "mathematics" to unravel concrete difficulties confronted in in addition to useful applications.

The target market isn't really constrained to researchers operating in utilized arithmetic and contains these in engineering, fabric sciences, economics, and lifestyles sciences.

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Read Online or Download A Mathematical Approach to Research Problems of Science and Technology: Theoretical Basis and Developments in Mathematical Modeling PDF

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

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31 (Birkhäuser, Boston, 1983), pp. 47–66 3. D. Braak, On the integrability of the Rabi model. Phys. Rev. Lett. 107, 100401–100404 (2011) 4. J. Casanova, G. Romero, I. J. Garca-Ripoll, E. Solano, Deep strong coupling regime of the Jaynes-Cummings model. Phys. Rev. Lett. 105, 263603 (2010) 5. C. Gunning, The Eichler cohomology groups and automorphic forms. Trans. Am. Math. Soc. 100, 44–62 (1961) 6. S. M. Raimond, Exploring Quantum. Atoms, Cavities, and Photons (Oxford University Press, Oxford, 2008) 7.

T. Nakao, M. Wakayama, Verified numerical computations for eigen-values of non-commutative harmonic oscillators. Numer. Funct. Anal. Optim. 23, 633–650 (2002) 23. H. Ochiai, Non-commutative harmonic oscillators and Fuchsian ordinary differential operators. Commun. Math. Phys. 217, 357–373 (2001) 24. H. Ochiai, Non-commutative harmonic oscillators and the connection problem for the Heun differential equation. Lett. Math. Phys. 70, 133–139 (2004) 25. H. Ochiai, A special value of the spectral zeta function of the non-commutative harmonic oscillators.

To appear) 8. F. Hiroshima, I. Sasaki, Spectral Analysis of Non-commutative Harmonic Oscillators: The Lowest Eigenvalue and No Crossing. J. Math. Anal. Appl. 105, 595–609 (2014) 9. F. Hiroshima, I. Sasaki, Multiplicity of the lowest eigenvalue of non-commutative harmonic oscillators. Kyushu J. Math. 67, 355–366 (2013) 10. R. C. Tan, in Non-abelian Harmonic Analysis. Applications of S L(2, R) (Springer, Berlin, 1992) 11. T. Ichinose, M. Wakayama, Zeta functions for the spectrum of the non-commutative harmonic oscillators.

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