This comprehensive volume introduces educational units dealing with important topics in Mathematics, Modelling and Algorithms. Key · Illustrative examples and exercises · Comprehensive bibliography Preface / Is Entscheidungsproblem Solvable? Beyond Undecidability of Turing Machines and Its Consequence for Computer Science and E. Eberbach / Specification Language Design for Hybrid L.M. Patnaik & S. Mitra/ Modelling, Analysis, Monitoring and Control of the Internet to Provide Quality of V. Sharma / Function of Factor Time Evolution of the Latent V. Ivancevic, M. Cicin-Sain / Error and Computational Complexity in S.K. Sen / Entropy and J. Radhakrishnan / Models of Distributed G. Ciobanu & M.Rotaru / Cryptographic P. Caballero-Gil, C. Hernandez-Goya & C. Bruno-Castanenda / Pattern Recognition (PR) and Machine Learning (ML): Current Trends and Some D. Dutta Majumder / Fuzzy Regression Analysis Via Neuro-Fuzzy Network and Its Application to System Modelling and E. Stanley Lee & Chi-Bin Cheng / Sparse Rule-based Fuzzy Yan Shi & Masaharu Mizumoto / Efficient Rare Event Simulation Using Importance An S. Juneja / Agent P. Dasgupta, P.P. Chakrabarti & S.C. DeSarkar / Competitive Deadline Scheduling Via Extra Tak-Wah Lam & Ka-Keung To / Fast Algorithms and Scientific P. Daripa / Online Optimization Through Mining the Offline Jason W.H. Lee, Y.C. Tay & A.K.H. Tung