## Introduction To Set TheoryThis book Introduction to Set Theory is very important in the field of modern algebra. It is very important to study this book to study modern mathematics. This book contain preliminary Notation, Sets, Subsets, Mapping Function and Relation. This book is useful to the students of under graduate, post graduate students and the candidate appearing in various competitions like pre Engineering/I.A.S/ P.C.S. etc. Contents: Preliminary Notation, Relations, Product or Composite of Mapping, Mapping or Functions |

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A U B addition algebraic structure arbitrary element associated belong binary operation called candidates closed commutative congruent Consider consists containing defined definition denoted determined disjoint distributive divisible divisor domain equal equivalence classes equivalence relation Example exists f is one-one f o g f-image Find finite formula function f given Hence Hence f identity element implies integers interval inverse Let f mapping f Meerut modulo multiplication natural numbers non-empty set Note number of subsets one-one one-to-one ordered pairs partition plane points positive Proof prove real number reflexive respect result satisfies Similarly Solution statement subset Suppose Symbolically symmetric symmetric and transitive Theorem transitive triangle true unique write