Rapidsol Number Theory (G.N.D.U.)

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The book is culmination of honest and sincere efforts on the part of the authors to meet the requirements of students who opt for mathematics at the Graduation level. The entire subject matter has been arranged in a systematic, graded, simple, 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 fully solved problems so that the study leads to perfect clarity and understanding.


The division algorithm, The greatest common divisor, least common multiple, The Euclidean algorithm, The Diophantine equation a x + b y = c Prime numbers and their distribution, The fundamental theorem of arithmetic, Basic properties of congruences, Linear congruences, Special divisibility tests.

Chinese remainder theorem, The Fermat’s theorem, Wilson’s theorem, t and s functions, Mobius Inversion formula, Greatest integer function, Euler’s Phi function, Euler’s theorem, Some properties of the Phi function.

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