Download Elementary Number Theory (Springer Undergraduate Mathematics by Gareth A. Jones,Josephine M. Jones PDF

By Gareth A. Jones,Josephine M. Jones

An undergraduate-level advent to quantity idea, with the emphasis on absolutely defined proofs and examples. workouts, including their ideas are built-in into the textual content, and the 1st few chapters think in basic terms uncomplicated university algebra. simple rules approximately teams and jewelry are then used to review teams of devices, quadratic residues and mathematics capabilities with purposes to enumeration and cryptography. the ultimate half, appropriate for third-year scholars, makes use of rules from algebra, research, calculus and geometry to review Dirichlet sequence and sums of squares. specifically, the final bankruptcy offers a concise account of Fermat's final Theorem, from its foundation within the old Babylonian and Greek learn of Pythagorean triples to its contemporary facts by means of Andrew Wiles.

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