Mathematical Foundations of Computer Science Sets, Relations, and Induction / by Peter A. Fejer, Dan A. Simovici.
Mathematical Foundations of Computer Science, Volume I is the first of two volumes presenting topics from mathematics (mostly discrete mathematics) which have proven relevant and useful to computer science. This volume treats basic topics, mostly of a settheoretical nature (sets, functions and rela...
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Format:  Electronic eBook 
Language:  English 
Published: 
New York, NY :
Springer New York : Imprint: Springer,
1991.

Edition:  1st ed. 1991. 
Series:  Monographs in Computer Science,
Springer eBook Collection. 
Subjects:  
Online Access:  Click to view ebook 
Holy Cross Note:  Loaded electronically. Electronic access restricted to members of the Holy Cross Community. 
Summary:  Mathematical Foundations of Computer Science, Volume I is the first of two volumes presenting topics from mathematics (mostly discrete mathematics) which have proven relevant and useful to computer science. This volume treats basic topics, mostly of a settheoretical nature (sets, functions and relations, partially ordered sets, induction, enumerability, and diagonalization) and illustrates the usefulness of mathematical ideas by presenting applications to computer science. Readers will find useful applications in algorithms, databases, semantics of programming languages, formal languages, theory of computation, and program verification. The material is treated in a straightforward, systematic, and rigorous manner. The volume is organized by mathematical area, making the material easily accessible to the upperundergraduate students in mathematics as well as in computer science and each chapter contains a large number of exercises. The volume can be used as a textbook, but it will also be useful to researchers and professionals who want a thorough presentation of the mathematical tools they need in a single source. In addition, the book can be used effectively as supplementary reading material in computer science courses, particularly those courses which involve the semantics of programming languages, formal languages and automata, and logic programming. 

Physical Description:  X, 425 p. online resource. 
ISBN:  9781461230861 
ISSN:  0172603X 