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Number theory revealed : a masterclass / Andrew Granville.

By: Granville, Andrew [author.].
Material type: TextTextPublisher: Providence, Rhode Island : American Mathematical Society, [2019]Description: xxviii, 587 pages; USD 99.00 26 cms.Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470441586.Subject(s): Number theory | Number theory -- Instructional exposition (textbooks, tutorial papers, etc.) | Number theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15] | Number theory -- Sequences and sets -- Arithmetic combinatorics; higher degree uniformity | Number theory -- Sequences and sets -- Fibonacci and Lucas numbers and polynomials and generalizations | Number theory -- Diophantine equations [See also 11Gxx, 14Gxx] -- Linear equations | Number theory -- Diophantine equations [See also 11Gxx, 14Gxx] -- Quadratic and bilinear equations | Number theory -- Diophantine equations [See also 11Gxx, 14Gxx] -- Cubic and quartic equations | Number theory -- Multiplicative number theory -- Distribution of primes | Number theory -- Multiplicative number theory -- Distribution of integers with specified multiplicative constraintsDDC classification: 512.7 Other classification: 11-01 | 11A55 | 11B30 | 11B39 | 11D04 | 11D09 | 11D25 | 11N05 | 11N25
Contents:
Gauss's Disquisitiones Arithmeticae -- Preliminary chapter on induction -- The Euclidean algorithm -- Congruences -- The basic algebra of number theory -- Multiplicative functions -- The distribution of prime numbers -- Diophantine problems -- Power residues -- Quadratic residues -- Quadratic equations -- Square roots and factoring -- Rational approximations to real numbers -- Binary quadratic forms -- The anatomy of integers -- Counting integral and rational points on curves, mod p -- Combinatorial number theory -- The p-adic numbers -- Rational points on elliptic curves.
List(s) this item appears in: 2020-03-06

Includes bibliographical references and index.

Gauss's Disquisitiones Arithmeticae -- Preliminary chapter on induction -- The Euclidean algorithm -- Congruences -- The basic algebra of number theory -- Multiplicative functions -- The distribution of prime numbers -- Diophantine problems -- Power residues -- Quadratic residues -- Quadratic equations -- Square roots and factoring -- Rational approximations to real numbers -- Binary quadratic forms -- The anatomy of integers -- Counting integral and rational points on curves, mod p -- Combinatorial number theory -- The p-adic numbers -- Rational points on elliptic curves.