# A First Course in Mathematical Logic and Set Theory

## Michael L. O'Leary

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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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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## 1.A First Course In Mathematical Logic And Set Theory

ISBN 10: 0470905883 ISBN 13: 9780470905883
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## 2.A First Course In Mathematical Logic And Set Theory

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## 3.A First Course In Mathematical Logic And Set Theory

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## 4.A First Course in Mathematical Logic and Set Theory,

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Descrizione libro Condizione libro: New. Condizione sovraccoperta: New. Shipped promptly and delivered within 3 to 5 working days. For PO BOX, APO, FPO and Puerto Rico addresses delivery done in 20 to 25 working days. Serving customers since 2006. Thousand of satisfied customers!. Codice libro della libreria REG_9780470905883_Wiley_88

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## 5.Mathematical Logic with Applications Format: Cloth

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Descrizione libro John Wiley and Sons. Condizione libro: New. Brand New. Codice libro della libreria 0470905883

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## 6.A First Course in Mathematical Logic and Set Theory (Hardback)

Editore: John Wiley and Sons Ltd, United States (2015)
ISBN 10: 0470905883 ISBN 13: 9780470905883
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Descrizione libro John Wiley and Sons Ltd, United States, 2015. Hardback. Condizione libro: New. 1. Auflage. Language: English . Brand New Book. 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 Lowenheim Skolem, Burali-Forti, Hartogs, Cantor Schroder Bernstein, and Konig 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. Codice libro della libreria AAH9780470905883

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## 7.A First Course in Mathematical Logic and Set Theory (Hardback)

Editore: John Wiley and Sons Ltd, United States (2015)
ISBN 10: 0470905883 ISBN 13: 9780470905883
Nuovi Rilegato Prima edizione Quantità: 10
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Descrizione libro John Wiley and Sons Ltd, United States, 2015. Hardback. Condizione libro: New. 1. Auflage. Language: English . Brand New Book. 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 Lowenheim Skolem, Burali-Forti, Hartogs, Cantor Schroder Bernstein, and Konig 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. Codice libro della libreria AAH9780470905883

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## 8.A First Course in Mathematical Logic and Set Theory

Editore: Wileyand#8211;Blackwell (2015)
ISBN 10: 0470905883 ISBN 13: 9780470905883
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Descrizione libro Wileyand#8211;Blackwell, 2015. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria FW-9780470905883

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## 9.A First Course in Mathematical Logic and Set Theory

Editore: Wiley (2015)
ISBN 10: 0470905883 ISBN 13: 9780470905883
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Descrizione libro Wiley, 2015. Hardcover. Condizione libro: New. book. Codice libro della libreria 0470905883

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## 10.Mathematical Logic With Applications

ISBN 10: 0470905883 ISBN 13: 9780470905883
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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97804709058830000000

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