This is presentation of the diverse uses and applications of contemporary mathematics in real world systems. Distinguished international scholars have contributed a total of twenty chapters discussing practical applications of mathematical theory across a range of disciplines, from financial markets to DNA sequencing from meteorology to economics in agriculture. This book will e a boon to advanced mathematicians, whether academic or professional, who are looking for real world applications for their theories. It is an outstanding collection of articles on mathematics for the new millennium. Contents: Recent Developments in Frame Theory * Special Functions in Sampling and Wavelet Theory * Modeling, Numerics and Simulation of Bose-Einstein Condensation * GIG A Periodic Orbits for Very Wealky Coupled Tent and Logistic Discretized Maps * From Scale Invariance to Deterministic Chaos in DNA Sequences: A Key to the Understanding of the Organization of Gene Location and Orientation in the Human Genome * Update of Usual Mathematics Tools in a Context of Increasing Complexity: A Whole Strategy * Block Krylov Space Methods for Linear Systems with Multiple Right Hand Sides * Combining Direct and Iterative Methods for the Solution of Large Sparse Systems in Different Application Areas * A New Iterative Scheme for Strongly Nonlinear Variational Like Inclusions * A Direct Method for Solving Variational Problems Using Walsh Wavelet Packet and Error Estimates * Generalized Implicit Vector Quasi Variational Inequalities with Applications * Rotational Motion of a Satellite under the Influence of Aerodynamic Torque * Mathematical Model for Navier Strokes Equation in Stream Function Vorticity Form Using Finite Difference Method * Wavelet Packets * Multifractal Analysis of Seismic Data * Mathematical Methdos for Modeling Price Fluctuations of Financial Time Series * Numerical Experiments with Toeplitz Matrix Approximateion Methods * Climatological Time S