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A Handbook of Set Theoy
Book ID NBC1927
ISBN No. 81-7211-337-4
Book Name A Handbook of Set Theoy
Book sub-title (Covers the Syllabus of UG & PG Courses of all Indian Universities)
Author/s name/s : Ahmed Hasen Ali , Das Kanti Lal
Publisher Name Northern Book Centre
Publishing Year 2014
Book Price (Printed) INR 215   
Book Price (Our Price) INR 215   
Book Size 14 x 22 cm
Book Page xiv + 138


   Post Review
Book Summary

The book entitled A Handbook of Set Theory has been written as a textbook for the students of UG and PG.  It begins with the development of the basic concepts of Set, such as, membership, identity, sub-set and proper subset. It then deals with set theoretical operators such as intersection, union, difference and Domain of Universals. Translating everyday language is an integral and essential aspect of logic. Therefore, issues, such as,  the technique of translating everyday language, the concept of consistency and inconsistency, the development of Venn Diagram along with a comparative study between Boolean (or syllogistic) and set theoretical interpretation are incorporated. Elementary Principles about Operations on Set is an integral part of Set Theory as far as application side is concerned. Accordingly, problem relating to this concept has been dealt. Finally, the concept of relation is an integral part of logic. Accordingly, issues, such as, the concept of relations, the concept of ordered couples, the concept of Cartesian or Cross Product, various types of relations with examples are incorporated and elaborately discussed. This book would certainly be useful and effective for the students of Under Graduates (UG) and Post Graduates (PG). The hallmark of this book is that it provides plenty of solving exercises along with an elaborate theoretical background. Therefore, it would be an anticipation of the authors that students who go through this book will immensely be benefitted.

 

Hindi News Paper, Dainik Jagran (????? ?????) brings Latest News in Hindi on Politics,

 
Book Content

1. General Introduction

Definition of Set
Representation of a Set
Division of Set
Salient Features of Non-empty Set
Technique of Counting the Elements of Set
Basic Concepts of Set
Distinction between 'membership' (Î) and 'identity' (=)
Properties of Sub-set
Comparison between Sub-set and Membership, i.e., (Í) and (Î)
Type of Sets
Summary of the Chapter
Exercises along with Solutions
Suggestive Questions

2. The Empty Set

Empty Set can be the members of Non-empty Set
Reasons or Grounds for admitting Empty-set
Characteristic of Empty Set
Operation on Sets

3. Translating Everyday Language

A Few Exceptions
Technique of Symbolizing Everyday Language
More Solutions
Venn Diagrams
A Few Examples
Consistency and Inconsistency
A Few Examples
Concept of Mutual Exclusive and Mutual Inclusive
Interpretation of sub-set (Í), Proper sub-set (Ì) and Identity (=) by means of Venn Diagram 
Proper-sub-set
Identity
Exercises with Solutions
Suggestive Questions

4. On Relations

Ordered Couples
The distinction between a Set and an Ordered Couple
Can more than two objects be accommodated in an Ordered Couple
The Concept of Cross-Product
Definition of Relations
Ordered Couples is a Binary Relation
Can an Ordered Couple be Regarded as a Relation
Some Special Terminology or Attribute of Binary Relation
Exercises along with Solutions
Properties of Binary Relations
Exercises along with solutions
Suggestive Questions

Subject Index

Book Reviews
Reviewed On:Friday, May 16, 2014
The theme of the book good and the technique of making students apprehend is very admirable. The get up of this book is colorful. As a college teacher I became very benefited having this book. I advised my students to collect this.
Reviewed By : Prof. K. I. Ahmedo prescription
Reviewed On:Monday, May 12, 2014
No doubt, the cover page of the book is very nice and the book is very fine too. Quite truly, the students having mathematics and the students of Philosophy in particular must be benefited by the book. Sir, please add one chapter more, i.e., ELEMENTARY PRINCIPLES ABOUT OPERATION ON SETS, in revised edition (If possible by your author). As this chapter is important for science students too. We the Radiance Academy, hope you will add this chapter and thereby complete the book. Anyway the book is fine and reasonably priced. We will recommend it to the students and collect for our library.
Reviewed By : Dr. M. U. Ahmedo prescription
Reviewed On:Monday, May 12, 2014
The book is not only looks good, but is fine for readers as well as students from my point of view. I am sure that I recommend it to the students.
Reviewed By : A. Ahmedo prescription
Reviewed On:Sunday, May 11, 2014
good book
Reviewed By : Niraj Kumaro prescription
 
 
 
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