Chapter 2 Sets, Functions And Groups
Math Part-I Chapter-II "Sets , Functions And Groups
"Following are the key points that should be kept in mind while preparing this chapter in perspective of Entrance test of Universities".
- Understand the real meanings of a 'SET'.
- Types and Operations on sets.
- Interpretation of Venn Diagram especially Results mentioned at page#39 of Text book.
- Explanation and usage of logic Symbols and related terms used frequently in Aristotelian logic.
- Understand the relation between Logic and Set Theory.
- Function , Types of Functions and Inverse of a function.
- Operations on Residue Classes Modulo Sets.
- Understand Complete Group Theory with all the variations . For example : If a semi-group with respect to some binary operation also consists Identity of thee operation, It is named as Monoid .
- Real Numbers do not represent a group under Multiplication because Multiplicative Inverse of Zero Doesn't Exist in Real numbers. Moreover if zero is excluded from 'R' it becomes an Abelian Group.
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