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The present book is the culmination of honest and sincere efforts to meet the requirements of students who opt for mathematics at the Post graduation level. It is also meant for those who are appearing in various competitive examinations.The entire subject matter has been arranged in a simple, systematic, graded, lucid and exhaustive manner to meet the various needs of all types of learners. Each chapter begins with some definitions followed by theorems with complete proofs and solved problems so that the study leads to perfect clarity and understanding. A large number of notes and remarks have been added for a better understanding of the subject. Exercises have been given in each chapter to provide the students with an opportunity of practice. In order to give the students a taste of UGC-CSIR NET examination, some MCQ’s from the previous years papers and other similar questions have been added at the end of the book.