A Basis for Theoretical Computer Science

A Basis for Theoretical Computer Science by M.A. Arbib, A.J. Kfoury, R.N. Moll.

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 machin...

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Bibliographic Details
Main Authors: Arbib, M.A (Author), Kfoury, A.J (Author), Moll, R.N (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York : Imprint: Springer, 1981.
Edition:1st ed. 1981.
Series:The AKM Series in Theoretical Computer Science
Springer eBook Collection.
Subjects:
Computers.
Mathematical logic.
Combinatorics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Sets, Maps, and Relations
  • 1.1 Sets
  • 1.2 Exponents and Series
  • 1.3 Maps and Relations
  • 2 Induction, Strings, and Languages
  • 2.1 Induction on the Natural Numbers
  • 2.2 The Strings Over an Arbitrary Set
  • 2.3 Languages and Automata: A First Look
  • 2.4 Context-Free Grammars
  • 2.5 Processing Lists
  • 3 Counting, Recurrences, and Trees
  • 3.1 Some Counting Principles
  • 3.2 Trees and Recurrences
  • 3.3 An Example of Algorithm Analysis
  • 4 Switching Circuits, Proofs, and Logic
  • 4.1 Truth Tables and Switching Circuits
  • 4.2 Proving Theorems
  • 5 Binary Relations, Lattices, and Infinity
  • 5.1 Equivalence Relations and Partial Orders
  • 5.2 Lattices and Boolean Algebras
  • 5.3 An Introduction to Infinity
  • 5.4 Another Look at Trees
  • 6 Graphs, Matrices, and Machines
  • 6.1 An Invitation to Graph Theory
  • 6.2 Graphs and Matrices
  • 6.3 Finite-State Acceptors and Their Graphs
  • Author Index
  • Notation Index.

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