Mathematics of information processing
Author(s)
Bibliographic Information
Mathematics of information processing
（Proceedings of symposia in applied mathematics, v. 34）
American Mathematical Society, c1986
Available at / 41 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
C-P(*)||AMS-2||3487057833
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Note
Includes bibliographies
Contents of Works
- Diameters of communication networks / F.R.K. Chung
- The theory of data dependencies / Ronald Fagin and Moshe Y. Vardi
- Transaction management / Hector Garcia-Molina
- Fundamental database issues / Barry E. Jacobs
- Data compression algorithms / Victor S. Miller
- Application of category theory of structural sets to modelling of information bases of systems / Augustin A. Tuzhilin
Description and Table of Contents
Description
These introductory survey lectures, the result of a 1984 AMS Short Course, focus on the algorithmic problems arising in the construction and utilization of large-scale information systems. Addressed to both mathematicians and computer scientists, the lectures require a background in the methodologies of discrete mathematics, in particular the elements of algebra, combinatorics and graph theory, discrete probability, logic and the theory of computation. All of the articles either are of high research value or survey profound themes in current research. They cover the two fundamental aspects of the field, i.e., database systems and communication networks.An overview of database architectures, the theory of data dependencies, and transaction management are provided, respectively, by the articles of Jacobs, Fagin and Vardi, and Garcia-Molina. Chung evaluates problems in the design of communication networks. Miller's discussion of data compression algorithms links current research to classical information theory. Finally, Tuzhilin describes a general framework evolved in the Soviet Union for modelling problems of information processing.
Table of Contents
Diameters of communication networks by F. R. K. Chung The theory of data dependencies--a survey by R. Fagin and M. E. Vardi Transaction management by H. Garcia-Molina Fundamental database issues by B. E. Jacobs Data compression algorithms by V. S. Miller Application of category theory of structural sets to modelling of information bases of systems by A. A. Tuzhilin.
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