A First Course in Mathematical Logic and Set Theory

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9780470905883: A First Course in Mathematical Logic and Set Theory

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. This is 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 and Forti, Hartog, Cantor-Schroeder-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 level transition courses with rigorous mathematical reasoning involving algebra, number theory, or analysis.

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Michael L. O Leary
Editore: John Wiley and Sons Ltd, United States (2015)
ISBN 10: 0470905883 ISBN 13: 9780470905883
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The Book Depository US
(London, Regno Unito)
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Descrizione libro John Wiley and Sons Ltd, United States, 2015. Hardback. Condizione libro: New. 1. Auflage. 250 x 150 mm. 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 LIB9780470905883

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Michael L. O Leary
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. 250 x 150 mm. 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 LIB9780470905883

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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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Descrizione libro Wiley John & Sons Okt 2015, 2015. Buch. Condizione libro: Neu. 243x164x29 mm. Neuware - A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs 443 pp. Englisch. Codice libro della libreria 9780470905883

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Michael L. O'Leary
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ISBN 10: 0470905883 ISBN 13: 9780470905883
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Descrizione libro John Wiley and Sons Ltd 2015-10-16, Hoboken, 2015. hardback. Condizione libro: New. Codice libro della libreria 9780470905883

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

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Michael L. O'Leary
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Descrizione libro Wiley John & Sons Okt 2015, 2015. Buch. Condizione libro: Neu. 243x164x29 mm. Neuware - A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofsHighlighting 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. 443 pp. Englisch. Codice libro della libreria 9780470905883

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Michael L. O'Leary
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ISBN 10: 0470905883 ISBN 13: 9780470905883
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Descrizione libro Wiley John & Sons Okt 2015, 2015. Buch. Condizione libro: Neu. 243x164x29 mm. Neuware - A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs 443 pp. Englisch. Codice libro della libreria 9780470905883

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ISBN 10: 0470905883 ISBN 13: 9780470905883
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Descrizione libro Wiley John & Sons Okt 2015, 2015. Buch. Condizione libro: Neu. 243x164x29 mm. Neuware - A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs 443 pp. Englisch. Codice libro della libreria 9780470905883

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Michael L. O'Leary
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ISBN 10: 0470905883 ISBN 13: 9780470905883
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Descrizione libro Wiley John & Sons Okt 2015, 2015. Buch. Condizione libro: Neu. 243x164x29 mm. Neuware - A mathematical introduction to the theory and applications of logic and set theory with an emphasis on writing proofs 443 pp. Englisch. Codice libro della libreria 9780470905883

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