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 k1, Ki, and Kp. 13.Some Diophantine equations. 14.Quadratic fields 1. 15.Quadratic fields 2. 16.The arithmetical functions. 17.Generating functions of arithmetical functions. 18.The order of magnitude of arithmetic functional. 19.Partitions. 20.The representation of a number by two or four squares. 21.Representation by cubes and higher powers. 22.The series of primers 3. 23.Kronecker’s theorem. 24.Geometry of numbers.