A First Course in Mathematical Logic and Set Theory PDF Download

A First Course in Mathematical Logic and Set Theory PDF
By:Michael L. O'Leary
Published on 2015-09-08 by John Wiley & Sons

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.

This Book was ranked at 13 by Google Books for keyword mathematics about sets.

Book ID of A First Course in Mathematical Logic and Set Theory's Books is Ci6kBgAAQBAJ, Book which was written byMichael L. O'Learyhave ETAG "O7iVJYTYj5A"

Book which was published by John Wiley & Sons since 2015-09-08 have ISBNs, ISBN 13 Code is 9780470905883 and ISBN 10 Code is 0470905883

Reading Mode in Text Status is false and Reading Mode in Image Status is true

Book which have "464 Pages" is Printed at BOOK under CategoryMathematics

Book was written in en

eBook Version Availability Status at PDF is falseand in ePub is false

Book Preview

Download A First Course in Mathematical Logic and Set Theory PDF Free

Download A First Course in Mathematical Logic and Set Theory Books Free

Download A First Course in Mathematical Logic and Set Theory Free

Download A First Course in Mathematical Logic and Set Theory PDF

Download A First Course in Mathematical Logic and Set Theory Books