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

by William Stein

**Publisher**: Springer 2004**ISBN/ASIN**: 0387855246**ISBN-13**: 9780387855240**Number of pages**: 166

**Description**:

This is a textbook about prime numbers, congruences, basic public-key cryptography, quadratic reciprocity, continued fractions, elliptic curves, and number theory algorithms. We assume the reader has some familiarity with groups, rings, and fields, and some programming experience. This book grew out of an undergraduate course that the author taught at Harvard University in 2001 and 2002.

Download or read it online for free here:

**Download link**

(1.3MB, PDF)

## Similar books

**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.

(

**7293**views)

**An Introduction to the Theory of Numbers**

by

**Leo Moser**-

**The Trillia Group**

The book on elementary number theory: compositions and partitions, arithmetic functions, distribution of primes, irrational numbers, congruences, Diophantine equations; combinatorial number theory, and geometry of numbers.

(

**14058**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.

(

**3838**views)

**Elementary Theory of Numbers**

by

**Waclaw Sierpinski**-

**ICM**

The variety of topics covered here includes divisibility, diophantine equations, prime numbers, the basic arithmetic functions, congruences, the quadratic reciprocity law, expansion of real numbers into decimal fractions, and more.

(

**9495**views)