A First Course in Mathematical Logic and Set Theory-经管之家官网！

坛友互助群

扫码加入各岗位、行业、专业交流群

http://ec4.images-amazon.com/images/P/0470905883

A First Course in Mathematical Logic and Set Theory
By 作者: Michael L. O’Leary
ISBN-10 书号: 0470905883
ISBN-13 书号: 9780470905883
Edition 版本: 1
Release Finelybook 出版日期: 2015-09-08
pages 页数: (464 )
$115
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.
List of Symbols
Chapter 1 Propositional Logic
Chapter 2 First-Order Logic
Chapter 3 Set Theory
Chapter 4 Relations and Functions
Chapter 5 Axiomatic Set Theory
Chapter 6 Ordinals and Cardinals
Chapter 7 Models
Index
EULA

扫码或添加微信号：坛友素质互助

「经管之家」APP：经管人学习、答疑、交友，就上经管之家！
免流量费下载资料----在经管之家app可以下载论坛上的所有资源，并且不额外收取下载高峰期的论坛币。
涵盖所有经管领域的优秀内容----覆盖经济、管理、金融投资、计量统计、数据分析、国贸、财会等专业的学习宝库，各类资料应有尽有。
来自五湖四海的经管达人----已经有上千万的经管人来到这里，你可以找到任何学科方向、有共同话题的朋友。
经管之家（原人大经济论坛），跨越高校的围墙，带你走进经管知识的新世界。
扫描下方二维码下载并注册APP