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Concise Introduction to Logic and Set Theory Mathematics and its Applications 1st Edition by Iqbal Jebril, Hemen Dutta, Ilwoo Cho 0429663269 9780429663260

Name: Concise Introduction to Logic and Set Theory Mathematics and its Applications 1st Edition by Iqbal Jebril, Hemen Dutta, Ilwoo Cho 0429663269 9780429663260
SKU: EB-34257652
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Concise Introduction to Logic and Set Theory (Mathematics and its Applications) 1st Edition Iqbal H. Jebril Digital Instant Download

Author(s): Iqbal H. Jebril, Hemen Dutta, Ilwoo Cho

ISBN(s): 9780367077952, 0367077957

Edition: 1

File Details: PDF, 10.13 MB

Year: 2021

Language: English

SKU: EB-34257652 Category: Mathematics - Logic Tags: Hemen Dutta, Ilwoo Cho, Iqbal H. Jebril

Description

Concise Introduction to Logic and Set Theory Mathematics and its Applications 1st Edition by Iqbal Jebril, Hemen Dutta, Ilwoo Cho – Ebook PDF Instant Download/Delivery: 0429663269 9780429663260
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Product details:

ISBN 10: 0429663269
ISBN 13: 9780429663260
Author: Iqbal H. Jebril, Hemen Dutta, Ilwoo Cho

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.

Concise Introduction to Logic and Set Theory Mathematics and its Applications 1st Table of contents:

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 Contra Positive 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

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