A FIRST COURSE IN MATHEMATICAL LOGIC AND SET THEORY

O'Leary, Michael L.

ISBN 10: 0470905883 / ISBN 13: 9780470905883

Verlag: Wiley, 2015

Beschreibung

Brand New. Soft Cover International Edition. Different ISBN and Cover Image. Priced lower than the standard editions which is usually intended to make them more affordable for students abroad. The core content of the book is generally the same as the standard edition. The country selling restrictions may be printed on the book but is no problem for the self-use. This Item maybe shipped from US or any other country as we have multiple locations worldwide.

Bestandsnummer des Verkäufers ABNR-218943

Bibliografische Details

• Titel: A FIRST COURSE IN MATHEMATICAL LOGIC AND SET THEORY
• Verlag: Wiley
• Erscheinungsjahr: 2015
• Sprache: Englisch
• ISBN-10: 0470905883
• ISBN-13: 9780470905883
• Einband: Softcover
• Auflage: Internationale Ausgabe
• Zustand: New

Über diesen Titel

Inhaltsangabe

A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs

Highlighting the applications and notations of basic mathematical concepts within the framework of logic and set theory, A First Course in Mathematical Logic and Set Theory introduces how logic is used to prepare and structure proofs and solve more complex problems.

The book begins with propositional logic, including two-column proofs and truth table applications, followed by first-order logic, which provides the structure for writing mathematical proofs. Set theory is then introduced and serves as the basis for defining relations, functions, numbers, mathematical induction, ordinals, and cardinals. The book concludes with a primer on basic model theory with applications to abstract algebra. A First Course in Mathematical Logic and Set Theory also includes:

• Section exercises designed to show the interactions between topics and reinforce the presented ideas and concepts
• Numerous examples that illustrate theorems and employ basic concepts such as Euclid’s lemma, the Fibonacci sequence, and unique factorization
• Coverage of important theorems including the well-ordering theorem, completeness theorem, compactness theorem, as well as the theorems of Löwenheim–Skolem, Burali-Forti, Hartogs, Cantor–Schröder–Bernstein, and König

An excellent textbook for students studying the foundations of mathematics and mathematical proofs, A First Course in Mathematical Logic and Set Theory is also appropriate for readers preparing for careers in mathematics education or computer science. In addition, the book is ideal for introductory courses on mathematical logic and/or set theory and appropriate for upper-undergraduate transition courses with rigorous mathematical reasoning involving algebra, number theory, or analysis.

 

Über die Autorin bzw. den Autor

Michael L. O'Leary, PhD, is Professor of Mathematics at the College of DuPage in Glen Ellyn, Illinois. He received his doctoral degree in mathematics from the University of California, Irvine in 1994 and is the author of Revolutions of Geometry, also published by Wiley.