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Chapter 1. Basic Nevanlinna theory with basic notations, with the First and Second Fundamental theorems with the sharing notions.Chapter 2. How to find a uniqueness result between two differential polynomials generated by meromorphic functions when sharing a set. Chapter 3. When a meromorphic function and its higher derivative when sharing a set or values, and what will be the possible relationship between them. Chapter 4. An entire functions when sharing values with their difference operator and what could be the class of such functions will be when they satisfying some difference equations with some examples in connection with the different claims. Chapter 5. Some sufficient conditions with examples when sharing two sets by an entire or a meromorphic functions with its sift operator with examples.Chapter 6. Certain power of a meromorphic function when sharings sets with difference operator, and what could be the possible meromorphic class satisfying some difference equations.Chapter 7. Different Malmquist theorems of difference equations or q-difference equations with examples.