**Elementary Theory of Numbers**

by Waclaw Sierpinski

**Publisher**: ICM 1964**Number of pages**: 516

**Description**:

The variety of topics covered here includes divisibility, diophantine equations, prime numbers (especially Mersenne and Fermat primes), the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, decomposition of integers into sums of powers, some other problems of the additive theory of numbers and the theory of Gaussian integers.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**Elementary Number Theory**

by

**W W L Chen**-

**Macquarie University**

An introduction to the elementary techniques of number theory: division and factorization, arithmetic functions, congruences, quadratic residues, sums of integer squares, elementary prime number theory, Gauss sums and quadratic reciprocity.

(

**11087**views)

**Elementary Number Theory: Primes, Congruences, and Secrets**

by

**William Stein**-

**Springer**

Textbook on number theory and elliptic curves. It discusses primes, factorization, continued fractions, quadratic forms, computation, elliptic curves, their applications to algorithmic problems, and connections with problems in number theory.

(

**13744**views)

**Topology of Numbers**

by

**Allen Hatcher**-

**Cornell University**

An introductory textbook on elementary number theory from a geometric point of view, as opposed to the strictly algebraic approach. A fair amount of the book is devoted to studying Conway's topographs associated to quadratic forms in two variables.

(

**4853**views)

**Theoretic Arithmetic**

by

**Thomas Taylor, A. J. Valpy**

The substance of all that has been written on this subject by Nicomachus, Iamblichus, and Boetius, together with some particulars respecting perfect, amicable, and other numbers, which are not to be found in the writings of modern mathematicians.

(

**8546**views)