Concise Introduction to Logic and Set Theory
- Length: 160 pages
- Edition: 1
- Language: English
- Publisher: CRC Press
- Publication Date: 2021-10-01
- ISBN-10: 0367077957
- ISBN-13: 9780367077952
- Sales Rank: #0 (See Top 100 Books)
This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics.
The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and exercises, and provides reasonable details to each topic discussed, for easy understanding.
The book is designed for readers from various disciplines where mathematical logic and set theory play a crucial role. The book will be of interested to students and instructors in engineering, mathematics, computer science, and technology.
Cover Half Title Title Page Copyright Page Contents Preface About Authors Chapter 1: Mathematical Logic 1.1. Sets 1.2. Propositions and Connectives 1.3. Tautology and Contradiction 1.4. Quantifiers 1.5. Logical Reasoning 1.6. Mathematical Proof 1.6.1. Direct and contrapositive Proof 1.6.2. Contradiction Proof 1.7. Induction 1.7.1. Introduction 1.7.2. Induction Principle Chapter 2: Set Theory 2.1. Basic Notions of Set Theory 2.2. Elementary Properties of Sets 2.2.1. Union of Sets 2.2.2. Intersection of Sets 2.2.3. Complement of Set 2.2.4. Difference and Symmetric Difference of Sets 2.3. Indexed Families of Sets Chapter 3: Relations 3.1. Ordered Pairs and Cartesian Product 3.2. Relations on Sets 3.3. Type of Relations 3.4. Equivalence Relations and Equivalence Classes 3.5. Congruence 3.6. Partial and Total Ordered Relations Chapter 4: Functions 4.1. Functions 4.1.1. Domain and Range 4.1.2. Graph of a Function 4.2. One-to-one Functions and Onto Functions 4.3. Composite Functions and Inverse Functions 4.4. Direct Images and Inverse Images under a Function Chapter 5: Cardinality of Sets 5.1. Cardinal Number 5.1.1. Equipotent Sets 5.1.2. Countable Sets 5.1.3. Cardinal Arithmetic 5.1.4. Order Types 5.1.5. More About Cardinal Numbers 5.2. Axiom of Choice Bibliography Index
Donate to keep this site alive
1. Disable the AdBlock plugin. Otherwise, you may not get any links.
2. Solve the CAPTCHA.
3. Click download link.
4. Lead to download server to download.