Download the fantastic book titled A First Course in Mathematical Logic and Set Theory written by Michael L. O'Leary, available in its entirety in both PDF and EPUB formats for online reading. This page includes a concise summary, a preview of the book cover, and detailed information about "A First Course in Mathematical Logic and Set Theory", which was released on 08 September 2015. We suggest perusing the summary before initiating your download. This book is a top selection for enthusiasts of the Mathematics genre.
Summary of A First Course in Mathematical Logic and Set Theory by Michael L. O'Leary PDF
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.
Detail About A First Course in Mathematical Logic and Set Theory PDF
- Author : Michael L. O'Leary
- Publisher : John Wiley & Sons
- Genre : Mathematics
- Total Pages : 464 pages
- ISBN : 0470905883
- Release Date : 08 September 2015
- PDF File Size : 26,9 Mb
- Language : English
- Rating : 4/5 from 21 reviews
Clicking on the GET BOOK button will initiate the downloading process of A First Course in Mathematical Logic and Set Theory by Michael L. O'Leary. This book is available in ePub and PDF format with a single click unlimited downloads.