Items related to A First Course in Mathematical Logic and Set Theory
Synopsis
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.
"synopsis" may belong to another edition of this title.
About the Author
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.
From the Back Cover
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 andreinforce the presented ideas and concepts
- Numerous examples that illustrate theorems and employ basic conceptssuch 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 ofLöwenheim 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.
From the Inside Flap
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 andreinforce the presented ideas and concepts
- Numerous examples that illustrate theorems and employ basic conceptssuch 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 ofLöwenheim–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.
"About this title" may belong to another edition of this title.
- PublisherWiley
- Publication date2015
- ISBN 10 0470905883
- ISBN 13 9780470905883
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages464
Search results for A First Course in Mathematical Logic and Set Theory
Stock Image
Mathematical Logic
Seller: Buchpark, Trebbin, Germany
Seller rating 5 out of 5 stars
Condition: Gut. Zustand: Gut | Seiten: 464 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 24412270/3
Quantity: 1 available
Seller Image
First Course in Mathematical Logic and Set Theory
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 10112947-n
Quantity: Over 20 available
Stock Image
A First Course in Mathematical Logic and Set Theory
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
HRD. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # FW-9780470905883
Quantity: 15 available
International Edition
A FIRST COURSE IN MATHEMATICAL LOGIC AND SET THEORY
International EditionSeller: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. 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. Seller Inventory # ABNR-218943
Quantity: 1 available
Stock Image
A First Course in Mathematical Logic and Set Theory (Hardcover)
Published by
John Wiley & Sons Inc, New York, 2015
ISBN 10: 0470905883
ISBN 13: 9780470905883
New
Hardcover
First Edition
Seller: CitiRetail, Stevenage, United Kingdom
Seller rating 5 out of 5 stars
Hardcover. Condition: new. Hardcover. 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 conceptsNumerous examples that illustrate theorems and employ basic concepts such as Euclids lemma, the Fibonacci sequence, and unique factorizationCoverage of important theorems including the well-ordering theorem, completeness theorem, compactness theorem, as well as the theorems of LoewenheimSkolem, Burali-Forti, Hartogs, CantorSchroederBernstein, and Koenig 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. Rather than teach mathematics and the structure of proofssimultaneously, this book first introduces logic as the foundationof proofs and then demonstrates how logic applies to mathematicaltopics. This method ensures that readers gain a firmunderstanding of how logic interacts with mathematics and empowersthem to solve more complex problems. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780470905883
Quantity: 1 available
Seller Image
First Course in Mathematical Logic and Set Theory
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 10112947-n
Quantity: Over 20 available
Stock Image
A First Course in Mathematical Logic and Set Theory
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9780470905883_new
Quantity: Over 20 available
Stock Image
A First Course in Mathematical Logic and Set Theory
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Hardback. Condition: New. New copy - Usually dispatched within 4 working days. 484. Seller Inventory # B9780470905883
Quantity: Over 20 available
Seller Image
A First Course in Mathematical Logic and Set Theory
Seller: moluna, Greven, Germany
Seller rating 4 out of 5 stars
Condition: New. 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 M. Seller Inventory # 33636277
Quantity: Over 20 available
Stock Image
A First Course in Mathematical Logic and Set Theory
Seller: Majestic Books, Hounslow, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. pp. 448 Illus. Seller Inventory # 311919263
Quantity: 3 available