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The present book is the culmination of honest and sincere efforts on the part of the author to meet the requirements of the students at Postgraduate 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. CONTENTS : Farey sequences, Continued fractions, Approximation of reals by rationals, Pell’s equations, Minkowski’s theorem in Geometry of Numbers and its applications. Partitions, Order of magnitude and average order of arithmetic functions, Euler summation formula, Abel’s Identity, Elementary results on distribution of primes.