Logic for Mathematics and Computer Science

Stanley N. Burris (Autor)

Buch | Hardcover

448 Seiten

1997
Pearson (Verlag)
978-0-13-285974-5 (ISBN)

Titel ist leider vergriffen;
keine Neuauflage

Artikel merken

Useful for one semester courses in Logic, this book provides an elementary "hands-on" presentation of important mathematical logic topics, that is readily accessible and relevant to the students of the mathematical sciences.

This text is intended for one semester courses in Logic, it can also be applied to a two semester course, in either Computer Science or Mathematics Departments.

Unlike other texts on mathematical logic that are either too advanced, too sparse in examples or exercises, too traditional in coverage, or too philosophical in approach, this text provides an elementary "hands-on" presentation of important mathematical logic topics, new and old, that is readily accessible and relevant to all students of the mathematical sciences -- not just those in traditional pure mathematics.

I. QUANTIFIER-FREE LOGICS.

1. From Aristotle to Boole.
2. Propositional Logic.
3. Equational Logic.
4. Predicate Clause Logic.
II. LOGIC WITH QUANTIFIERS.

5. First-Order Logic: Introduction, and Fundamental Results on Semantics.
6. A Proof System for First-Order Logic and Gödel's Completeness Theorem.
Appendix A. A Simple Timetable of Mathematical Logic and Computing.
Appendix B. Dedekind-Peano Number System.
Appendix C. Writing Up an Inductive Definition or Proof.
Appendix D. FL Propositional Logic.
Bibliography.
Index.

Erscheint lt. Verlag	28.9.1997
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
Themenwelt	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
ISBN-10	0-13-285974-2 / 0132859742
ISBN-13	978-0-13-285974-5 / 9780132859745
Zustand	Neuware