An Introduction to the Theory of NumbersOUP Oxford, 2008. 7. 31. - 621페이지 An Introduction to the Theory of Numbers by G.H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D.R. Heath-Brown this Sixth Edition of An Introduction to the Theory of Numbers has been extensively revised and updated to guide today's students through the key milestones and developments in number theory. Updates include a chapter by J.H. Silverman on one of the most important developments in number theory — modular elliptic curves and their role in the proof of Fermat's Last Theorem — a foreword by A. Wiles, and comprehensively updated end-of-chapter notes detailing the key developments in number theory. Suggestions for further reading are also included for the more avid reader The text retains the style and clarity of previous editions making it highly suitable for undergraduates in mathematics from the first year upwards as well as an essential reference for all number theorists. |
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THE SERIES OF PRIMES 1 | 1 |
THE SERIES OF PRIMES 2 | 13 |
FAREY SERIES AND A THEOREM OF MINKOWSKI | 28 |
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a₁ absolutely convergent algebraic number algorithm an+1 approximation arithmetic B₁ coefficients common divisor congruence conjecture continued fraction convergent coordinates coprime corresponding cubes decimal deduce defined divisible elliptic curve equation equivalent Euclid's algorithm Euclidean Euler example Fermat's Fermat's last theorem finite follows formulae function fundamental theorem Gaussian integers given highest common infinity integral quaternions interval irrational Journal London Math Kronecker's theorem lattice point loglog logp logx modulus multiple obtain polynomial positive integers prime factors problem Proc proof of Theorem properties prove Theorem quadratic fields quadratic residue Ramanujan rational integers rational numbers rational prime representable residues result roots satisfy solutions square suppose true unity values Waring's problem Weierstrass equation write Νπ ξη