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Logical Approach to Discrete Math

ISBN-10: 0387941150
ISBN-13: 9780387941158
Edition: 2nd 1993
List price: $84.95 Buy it from $75.98
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Description: This text attempts to change the way logic and discrete math are taught in computer science and mathematics. While many books treat logic simply as another topic of study, this book's uniqueness is its willingness to take it one step further. In the  More...

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Book details

List price: $84.95
Edition: 2nd
Copyright year: 1993
Publisher: Springer
Publication date: 10/22/1993
Binding: Hardcover
Pages: 516
Size: 6.50" wide x 9.75" long x 1.25" tall
Weight: 2.046
Language: English

This text attempts to change the way logic and discrete math are taught in computer science and mathematics. While many books treat logic simply as another topic of study, this book's uniqueness is its willingness to take it one step further. In the book, logic is treated as a basic tool, to be applied in essentially every other area. "This is a rather extraordinary book, and deserves to be read by everyone involved in computer science and - perhaps more importantly - software engineering. I recommend it highly. The book will be of value not only to beginning students, but also to hardened programmers with many years of experience - in Fortran, Cobol, C, C++, or whatever. If the book is taken seriously, the rigor that it unfolds and the clarity of its concepts could have a significant impact on the way in which software is conceived and developed." -Peter G. Neumann-

Preface
Using Mathematics
Textual Substitution, Equality, and Assignment
Boolean Expressions
Propositional Calculus
Relaxing the Proof Style
Applications of Propositional Calculus
Hilbert-style Proofs
Formal Logic
Quantification
Predicate Calculus
Predicates and Programming
A Theory of Sets
Mathematical Induction
A Theory of Sequences
Relations and Functions
A Theory of Integers
Combinatorial Analysis
Recurrence Relations
Modern Algebra
A Theory of Graphs
Infinite Sets
References
Index
Theorems of the propositional and predicate calculi

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