A First Course In Theory Of Numbers

A comprehensive text on number theory-- the purest branch of pure mathematics exposing its basic theory and systematic modus operandi to achieve the need of a textbook for under graduate students as well as some parts in pst graduate level in the Indian universities. The book features a discussion on number system emphasizing the fundamental hypotheses. Together, the passage of formation of integers from natural numbers with their possible geometrical link is also brought into the forefront.
About Author :
Khanindra Chandra Choudhury a researcher of repute in both national and international arena obtained his Ph.De. from Gauhati University. A former faculty member of Pragiyotish Colelge and later of Dibraugarh University. A former faculty member of Pragiyotish College and later of Dibrugarh University.
Contents :
Preface Number System Congruences and its Basic Properties Algebraic Congruences and Primitive Roots Arthmetic Functions Farey Seqeunce, continued fraction, pells equations Quadratic Residues legenders symbols Jacobi symbols Hoogeneous Quadratic diophantine Equation Some number theoretic problems related to mathematics Olympiad Answers