A logical approach to discrete math
著者
書誌事項
A logical approach to discrete math
（Texts and monographs in computer science）
Springer-Verlag, c1993
- : us
- : gw
大学図書館所蔵 全46件
注記
Includes bibliographical references and index
内容説明・目次
- 巻冊次
-
: us ISBN 9780387941158
内容説明
Here, the authors strive 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 one is unique in its willingness to go one step further. The book traets logic as a basic tool which may be applied in essentially every other area.
目次
0 Using Mathematics.- 1 Textual Substitution, Equality, and Assignment.- 2 Boolean Expressions.- 3 Propositional Calculus.- 4 Relaxing the Proof Style.- 5 Applications of Propositional Calculus.- 6 Hilbert-style Proofs.- 7 Formal Logic.- 8 Quantification.- 9 Predicate Calculus.- 10 Predicates and Programming.- 11 A Theory of Sets.- 12 Mathematical Induction.- 13 A Theory of Sequences.- 14 Relations and Functions.- 15 A Theory of Integers.- 16 Combinatorial Analysis.- 17 Recurrence Relations.- 18 Modern Algebra.- 19 A Theory of Graphs.- 20 Infinite Sets.- References.- Theorems of the propositional and predicate calculi.
- 巻冊次
-
: gw ISBN 9783540941156
内容説明
This text attempts to change the way logic and discrete mathematics are taught. While many books treat logic simply as another topic of study, this book treats logic as a basic tool to be applied in essentially every other area. The book is organized so that selected chapters can either be studied together or used as a reference. The core of the book consists of textual substitution, equality and assignment, Boolean expressions, propositional calculus, quantification and predicate calculus. The remaining chapters can be selected according to individual course outlines.
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