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Cover: 9781441928351 | A Logical Approach to Discrete Math | Fred B. Schneider (u. a.) | Buch
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A Logical Approach to Discrete Math
Taschenbuch von Fred B. Schneider (u. a.)
Sprache: Englisch

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Beschreibung
This text attempts to change the way we teach logic to beginning students. Instead of teaching logic as a subject in isolation, we regard it as a basic tool and show how to use it. We strive to give students a skill in the propo­ sitional and predicate calculi and then to exercise that skill thoroughly in applications that arise in computer science and discrete mathematics. We are not logicians, but programming methodologists, and this text reflects that perspective. We are among the first generation of scientists who are more interested in using logic than in studying it. With this text, we hope to empower further generations of computer scientists and math­ ematicians to become serious users of logic. Logic is the glue Logic is the glue that binds together methods of reasoning, in all domains. The traditional proof methods -for example, proof by assumption, con­ tradiction, mutual implication, and induction- have their basis in formal logic. Thus, whether proofs are to be presented formally or informally, a study of logic can provide understanding.
This text attempts to change the way we teach logic to beginning students. Instead of teaching logic as a subject in isolation, we regard it as a basic tool and show how to use it. We strive to give students a skill in the propo­ sitional and predicate calculi and then to exercise that skill thoroughly in applications that arise in computer science and discrete mathematics. We are not logicians, but programming methodologists, and this text reflects that perspective. We are among the first generation of scientists who are more interested in using logic than in studying it. With this text, we hope to empower further generations of computer scientists and math­ ematicians to become serious users of logic. Logic is the glue Logic is the glue that binds together methods of reasoning, in all domains. The traditional proof methods -for example, proof by assumption, con­ tradiction, mutual implication, and induction- have their basis in formal logic. Thus, whether proofs are to be presented formally or informally, a study of logic can provide understanding.
Zusammenfassung
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2010
Genre: Importe, Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Monographs in Computer Science
Inhalt: xvi
516 S.
ISBN-13: 9781441928351
ISBN-10: 1441928359
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Schneider, Fred B.
Gries, David
Auflage: Softcover reprint of hardcover 1st ed. 1993
Hersteller: Springer New York
Springer US, New York, N.Y.
Monographs in Computer Science
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 234 x 156 x 29 mm
Von/Mit: Fred B. Schneider (u. a.)
Erscheinungsdatum: 01.12.2010
Gewicht: 0,787 kg
Artikel-ID: 107181383
Zusammenfassung
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2010
Genre: Importe, Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Monographs in Computer Science
Inhalt: xvi
516 S.
ISBN-13: 9781441928351
ISBN-10: 1441928359
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Schneider, Fred B.
Gries, David
Auflage: Softcover reprint of hardcover 1st ed. 1993
Hersteller: Springer New York
Springer US, New York, N.Y.
Monographs in Computer Science
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 234 x 156 x 29 mm
Von/Mit: Fred B. Schneider (u. a.)
Erscheinungsdatum: 01.12.2010
Gewicht: 0,787 kg
Artikel-ID: 107181383
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