The sixth edition of the classic undergraduate text in elementary number theory includes a new chapter on elliptic curves and their role in the proof of Fermat's Last Theorem, a foreword by Andrew Wiles and extensively revised and updated end-of-chapter notes.
The sixth edition of the classic undergraduate text in elementary number theory includes a new chapter on elliptic curves and their role in the proof of Fermat's Last Theorem, a foreword by Andrew Wiles and extensively revised and updated end-of-chapter notes.
Roger Heath-Brown F.R.S. was born in 1952, and is currently Professor of Pure Mathematics at Oxford University. He works in analytic number theory, and in particular on its applications to prime numbers and to Diophantine equations.
Inhaltsangabe
Preface to the sixth edition Preface to the fifth edition 1: The Series of Primes (1) 2: The Series of Primes (2) 3: Farey Series and a Theorem of Minkowski 4: Irrational Numbers 5: Congruences and Residues 6: Fermat's Theorem and its Consequences 7: General Properties of Congruences 8: Congruences to Composite Moduli 9: The Representation of Numbers by Decimals 10: Continued Fractions 11: Approximation of Irrationals by Rationals 12: The Fundamental Theorem of Arithmetic in k(l), k(i), and k(p) 13: Some Diophantine Equations 14: Quadratic Fields (1) 15: Quadratic Fields (2) 16: The Arithmetical Functions ø(n), ¿(n), d(n), s(n), r(n) 17: Generating Functions of Arithmetical Functions 18: The Order of Magnitude of Arithmetical Functions 19: Partitions 20: The Representation of a Number by Two or Four Squares 21: Representation by Cubes and Higher Powers 22: The Series of Primes (3) 23: Kronecker's Theorem 24: Geometry of Numbers 25: Joseph H. Silverman: Elliptic Curves Appendix List of Books Index of Special Symbols and Words Index of Names General Index
Preface to the sixth edition Preface to the fifth edition 1: The Series of Primes (1) 2: The Series of Primes (2) 3: Farey Series and a Theorem of Minkowski 4: Irrational Numbers 5: Congruences and Residues 6: Fermat's Theorem and its Consequences 7: General Properties of Congruences 8: Congruences to Composite Moduli 9: The Representation of Numbers by Decimals 10: Continued Fractions 11: Approximation of Irrationals by Rationals 12: The Fundamental Theorem of Arithmetic in k(l), k(i), and k(p) 13: Some Diophantine Equations 14: Quadratic Fields (1) 15: Quadratic Fields (2) 16: The Arithmetical Functions ø(n), ¿(n), d(n), s(n), r(n) 17: Generating Functions of Arithmetical Functions 18: The Order of Magnitude of Arithmetical Functions 19: Partitions 20: The Representation of a Number by Two or Four Squares 21: Representation by Cubes and Higher Powers 22: The Series of Primes (3) 23: Kronecker's Theorem 24: Geometry of Numbers 25: Joseph H. Silverman: Elliptic Curves Appendix List of Books Index of Special Symbols and Words Index of Names General Index
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