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The book 'Group Theory' consist of 9 chapters. The first chapter covers the basic notions of set and functions. The other chapters cover Subgroup, Cyclic group, Normal subgroup, Quotient Group, Permutation Groups, Isomorphism between groups, Automorphisms etc. Each chapter has easy definitions of the topic, Theorems, Sufficient number of Examples, Counter Examples. The theorems and examples are described in a lucid step by step way. A reader c...

The term sequence has a great role in real Analysis. The generalized notion of single sequences are the double sequences. Every double sequence is an infinite matrix. various types of linear spaces of double sequences are constucted and studied their properties. The difference operator is used on the double sequences to construct a new double sequence. The double sequences may be bounded, unbounded, convergent, non-convergent or some other. De...