An introduction to the theory of numbers/
xxi, 621 pages; 23 cm. Content notes : The Series of Primes (1) -- The Series of Primes (2) -- Farey Series and a Theorem of Minkowski -- Irrational Numbers -- Congruences and Residues -- Fermat’s Theorem and its Consequences -- General Properties of Congruences -- Congruences to Composite Moduli -- The Representation of Numbers by Decimals -- Continued Fractions -- Approximation of Irrationals by Rationals -- The Fundamental Theorem of Arithmetic -- Some Diophantine Equations -- Quadratic Fields (1) -- Quadratic Fields (2) -- The Arithmetical Functions φ(n), μ(n), d(n), σ(n), r(n) -- Generating Functions of Arithmetical Functions -- The Order of Magnitude of Arithmetical Functions -- Partitions -- The Representation of a Number by Two or Four Squares -- Representation by Cubes and Higher Powers -- The Series of Primes (3) -- Kronecker’s Theorem -- Geometry of Numbers -- Elliptic Curves
