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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a₁ a₂ algebraic structure arbitrary element associated binary composition binary operation called candidates who offered co-domain commutative Commutative Law complex numbers congruence modulo congruent defined denoted different elements divisible by 11 divisor equivalence classes equivalence relation Example f is one-one f-image function f given go f Hence f Hence Proved identity element integer inverse function inverse mapping lence relation Let f many-one mapping f mapping g mathematical induction Meerut multiplication non-empty set null set number of elements number of subsets odd natural numbers offered paper one-to-one ordered pairs partition possesses identity element Proof quotient set R-related R₂ range of f rational numbers real number reflexive set of real Solution statement symmetric and transitive Theorem total number transitive relation triangle universal set write x₁