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Synopsis This book gives an under-graduate-level introduction to Number Theory, with the emphasis on fully explained Proofs and Examples; exercises are integrated into the text. The first few chapters covering Number Sets, Real Numbers, Natural Numbers, Divisibility, Boolean Algebra Groups and are therefore suitable for under-graduate and post-graduate students as an introduction to the methods of Pure mathematics.

Elementary ideas about groups are then used to study groups of units, quadratic residues and arithmetic functions with applications to Enumeration and Cryptography. The final part, suitable for under-graduate students, uses ideas from algebra, Function, Analysis, Calculus and Series; in particular, the last chapter gives a concise account of Fourier Series.