This publication gives an introduction to algorithm, abstract machine, algorithm design, algorithm engineering, algorithmic efficiency, algorithmic synthesis and program optimization. The dimensions of algorithm trading and computer programme profiling are described. This publication attempts towards creating an understanding the theory of computation and partial function. Focus also lies on empirical algorithmic, medical algorithm, data structure, data collection, container and data model, linked data structure and persistent data structure. Contents: Introduction to Algorithm: Characterizations and Examples; Algorithm: Focus on Abstract Machine, Design and Engineering; Algorithm Efficiency, Synthesis and Programme Optimization; Algorithm Trading and Computer Programme Profiling; Towards Understanding the Theory of Computation and Partial Function; Focus on Empirical Algorithm and Medical Algorithm; Data Structure and Concurrent Data Structure: An Introductory Overview; Focus on Data Collection, Container and Data Model; Focus on Linked Data Structure and Persistent Data Structure.
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