Mathematics and Computing : Current Research and Developments

[BOOK DESCRIPTION]

MATHEMATICS AND COMPUTINGsixteen articles chosen from different thrust areas of research on mathematics and computing. Fuzzy mathematics has now become a tool for reconstructing the foundation of several mathematical structures. Some articles in this volume concentrate on fuzzy aspects of analysis (statistical convergence of sequences) and algebra (H-ideals in BCK/ BCI algebras, and matrices over distributive lattices). An article on modern algebra, discussing on endomorphism rings of reduced modules, and another article on some convolution properties of analytic functions possessing fractional derivatives are also included. The environmental pollution issues in the frameworks of dynamical systems and of fuzzy mathematics are discussed in two articles. Some selected articles on fluid mechanics, solid mechanics and astrophysics are included here, as these are considered as some key components of computational and applied mathematics.

[TABLE OF CONTENTS]

 Recent Developments of Sequences of Fuzzy      1  (12)
    Numbers in the Direction of Statistical
    Convergence
          P. D. Srivastava
          S. Mohanta
    Dynamical Behaviour of a Single Species        13 (20)
    Population Model in a Polluted Environment
          G. P. Samanta
          Swarnali Sharma
    Endomorphism Rings of Reduced Modules          33 (4)
          Ardeline Mary Buhphang
    A Note on Convolution Properties               37 (6)
          N. Shilpa
          L. Dileep
          S. Latha
    Intuitionistic Fuzzy Translations of           43 (6)
    Intuitionistic Fuzzy H-ideals in
    BCK/BCI-algebras
          Tapan Senapati
          Monoranjan Bhowmik
          Madhumangal Pal
    Generalized Intuitionistic Fuzzy Nilpotent     49 (10)
    Matrices over Distributive Lattice
          Amal Kumar Adak
          Monoranjan Bhowmik
          Madhumangal Pal
    On Quartiles of Generalised Fuzzy Number       59 (8)
    with Different Left Height and Right Height
          Rituparna Chutia
          Supahi Mahanta
          D. Datta
    Fuzzification of Pollutant Concentration       67 (10)
    under the Gaussian Plume Model
          Supahi Mahanta
          Rituparna Chutia
          Hemanta K. Baruah
    Team Selection for Twenty20 World Cup          77 (10)
    following the Indian Premier League
          Hemanta Saikia
          Dibyojyoti Bhattacharjee
    Water Wave Scattering by Small Undulation      87 (10)
    of the Porous Bottom in a Two-layer Fluid
          Srikumar Panda
          S. C. Martha
    Effect of Heat Transfer on a Steady MHD        97 (8)
    Flow over a Stretching Sheet
          A. Adhikari
    Study of Fractional Order Two Temperature      105(10)
    Generalized Thermo-Piezoelastic Problem
          M. Islam
          M. Kanoria
    Two Temperature Hyperbolic Heat Equation       115(10)
    with Variable Thermal Conductivity
          Sudip Mondal
          Sadek Hossain Mallik
          M. Kanoria
    Multilayer Perceptron Models Based on PCA      125(8)
    for Total Ozone Concentration Time Series
          Goutami Chattopadhyay
          Parthasarathi Chakraborthy
          Surajit Chattopadhyay
    A Study on the Statefinder Description of      133(8)
    the Interacting Ricci Dark Energy
          Surajit Chattopadhyay
    Dynamical Formalism of Diffeomorphism          141
    Invariance and Loop Quantum Gravity
          L. Mullick