An Introduction to the Theory of NumbersClarendon Press, 1979 - 426 páginas This is the fifth edition of a work (first published in 1938) which has become the standard introduction to the subject. The book has grown out of lectures delivered by the authors at Oxford, Cambridge, Aberdeen, and other universities. It is neither a systematic treatise on the theory ofnumbers nor a 'popular' book for non-mathematical readers. It contains short accounts of the elements of many different sides of the theory, not usually combined in a single volume; and, although it is written for mathematicians, the range of mathematical knowledge presupposed is not greater thanthat of an intelligent first-year student. In this edition the main changes are in the notes at the end of each chapter; Sir Edward Wright seeks to provide up-to-date references for the reader who wishes to pursue a particular topic further and to present, both in the notes and in the text, areasonably accurate account of the present state of knowledge. |
Índice
THE SERIES OF PRIMES | 1 |
THE SERIES OF PRIMES | 12 |
FAREY SERIES AND A THEOREM OF MINKOWSKI | 23 |
IRRATIONAL NUMBERS | 38 |
CONGRUENCES AND RESIDUES | 48 |
FERMATS THEOREM AND ITS CONSEQUENCES | 63 |
GENERAL PROPERTIES OF CONGRUENCES | 82 |
CONGRUENCES TO COMPOSITE MODULI | 94 |
SOME DIOPHANTINE EQUATIONS | 190 |
QUADRATIC FIELDS | 204 |
THE ARITHMETICAL FUNCTIONS n µn dn on rn | 233 |
GENERATING FUNCTIONS OF ARITHMETICAL FUNCTIONS | 244 |
THE ORDER OF MAGNITUDE OF ARITHMETICAL FUNCTIONS | 260 |
PARTITIONS | 273 |
THE REPRESENTATION OF A NUMBER BY TWO | 297 |
REPRESENTATION BY CUBES AND HIGHER POWERS | 317 |
6 | 100 |
The decimal associated with a given number | 107 |
5 | 114 |
CONTINUED FRACTIONS | 129 |
APPROXIMATION OF IRRATIONALS BY RATIONALS | 154 |
THE FUNDAMENTAL THEOREM OF ARITHMETIC IN k1 | 178 |
THE SERIES OF PRIMES | 340 |
KRONECKERS THEOREM | 375 |
APPENDIX | 414 |
420 | |
Otras ediciones - Ver todo
An Introduction to the Theory of Numbers Godfrey Harold Hardy,Edward Maitland Wright Vista de fragmentos - 1979 |
An Introduction to the Theory of Numbers Godfrey Harold Hardy,Edward Maitland Wright No hay ninguna vista previa disponible - 1979 |
Términos y frases comunes
a₁ absolutely convergent algebraic number algorithm an+1 arithmetic b₁ coefficients congruence contradiction convergent coprime corresponding cubes D. H. Lehmer decimal deduce defined Dickson digits divisible equation equivalent Euclid's Euclid's algorithm Euclidean Euler example Fermat's theorem follows formulae function fundamental theorem Gaussian integers Hence THEOREM In+1 inequality infinity integral quaternions interval irrational Journal London Math Kronecker's theorem Landau lattice point loglog m₁ mod p² modulus multiple n₁ non-residue NOTES ON CHAPTER number of partitions odd prime P₁ parallelogram particular positive integers prime factors problem proof of Theorem properties prove Theorem quadratic fields quadratic residue Ramanujan rational integers rational prime representable result roots satisfies sequence simple continued fraction solution square suppose theory of numbers trivial true unity values Waring's problem Wilson's theorem write y₁
Referencias a este libro
The Arcata conference on representations of finite groups, Part 1 Paul Fong No hay ninguna vista previa disponible - 1987 |