this book is an attempt to make presentation of Elements of Real Analysis more lucid. The book contains examples and exercises meant to help a proper understanding of the text. for B.A., B.Sc. and Honours (Mathematics and Physics), M.A. and M.Sc. (Mathematics) students of various Universities/ Institutions.As per UGC Model Curriculum and for I.A.S. and Various other competitive exams.\n\nContents:\n\nSets and statements\n\nThe real numbers\n\nNeighbouthoods and limit points of a set\n\nSequences\n\nInfinite series with positive terms\n\nInfinite series with positive and negative terms\n\nReal function-limit and continuity (continuous function)\n\nReal functions:The derivatives\n\nRiemann integrability