MTH-304 | Set Theory and Logic (SEC)
S.Y.B.Sc. | Sem III | Mathematics
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S.Y.B.Sc. | Sem III | MTH-304
MATHEMATICS
Set Theory and Logic (SEC)
We feel great pleasure in bringing out this book. The book has been written according to revised syllabus of KBC North Maharashtra University, Jalgaon for S. Y. B. Sc. Mathematics MTH – 304 (SEC) – Set Theory And Logic which is implemented form June 2019 (CBCS Pattern).
Each topic has been written in a very simple and lucid language to enable the students to understand the subject throughly. There are many worked examples with detailed steps. The problems in the exercises have been compiled taking into consideration the academic background of students. We hope that the text will be equally appriciated by the students and the teachers.
Unit 1 Sets and Subsets
1.1 Sets
1.2 Venn Diagram
1.3 Countable and Uncountable Sets
Unit 2 Relations and Functions
2.1 Product of sets
2.2 Relation
2.3 Types of Relation
2.4 Function
2.5 Types of Function
2.6 Composition of Functions
2.7 Invertible Function
Unit 3 Algebra of Propositions
3.1 Statement
3.2 Tautologies and contradiction
3.3 Law of Syllogism
Unit 4 Quantifiers
4.1 Propositional function
4.2 Quantifiers
4.3 De-Morgan’s Laws
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