Overview
Part of the book series: Monographs in Computer Science (MCS)
Part of the book sub series: The AKM Series in Theoretical Computer Science (TMCS)
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About this book
Computer science seeks to provide a scientific basis for the study of inform a tion processing, the solution of problems by algorithms, and the design and programming of computers. The last forty years have seen increasing sophistication in the science, in the microelectronics which has made machines of staggering complexity economically feasible, in the advances in programming methodology which allow immense programs to be designed with increasing speed and reduced error, and in the development of mathematical techniques to allow the rigorous specification of program, process, and machine. The present volume is one of a series, The AKM Series in Theoretical Computer Science, designed to make key mathe matical developments in computer science readily accessible to under graduate and beginning graduate students. Specifically, this volume takes readers with little or no mathematical background beyond high school algebra, and gives them a taste of a number of topics in theoretical computer science while laying the mathematical foundation for the later, more detailed, study of such topics as formal language theory, computability theory, programming language semantics, and the study of program verification and correctness. Chapter 1 introduces the basic concepts of set theory, with special emphasis on functions and relations, using a simple algorithm to provide motivation. Chapter 2 presents the notion of inductive proof and gives the reader a good grasp on one of the most important notions of computer science: the recursive definition of functions and data structures.
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Table of contents (6 chapters)
Authors and Affiliations
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Bibliographic Information
Book Title: A Basis for Theoretical Computer Science
Authors: Michael A. Arbib, A. J. Kfoury, Robert N. Moll
Series Title: Monographs in Computer Science
DOI: https://doi.org/10.1007/978-1-4613-9455-6
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York Inc. 1981
Softcover ISBN: 978-1-4613-9457-0Published: 14 December 2011
eBook ISBN: 978-1-4613-9455-6Published: 06 December 2012
Series ISSN: 0172-603X
Series E-ISSN: 2512-5486
Edition Number: 1
Number of Pages: VIII, 220
Topics: Theory of Computation, Mathematical Logic and Formal Languages, Computation by Abstract Devices, Combinatorics