## e-books in Elementary Number Theory category

**An Introductory Course in Elementary Number Theory**

by

**Wissam Raji**-

**The Saylor Foundation**,

**2013**

These are notes for an undergraduate course in number theory. Proofs of basic theorems are presented in an interesting and comprehensive way that can be read and understood even by non-majors. The exercises broaden the understanding of the concepts.

(

**1827**views)

**Topology of Numbers**

by

**Allen Hatcher**-

**Cornell University**,

**2014**

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.

(

**3394**views)

**A Friendly Introduction to Number Theory**

by

**Joseph H. Silverman**-

**Pearson Education, Inc.**,

**2012**

Introductory undergraduate text designed to entice non-math majors into learning some mathematics, while at the same time teaching them how to think mathematically. The exposition is informal, with a wealth of examples that are analyzed for patterns.

(

**5471**views)

**Theoretic Arithmetic**

by

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

**1816**

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.

(

**6775**views)

**Elementary Theory of Numbers**

by

**Waclaw Sierpinski**-

**ICM**,

**1964**

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.

(

**8946**views)

**The Theory of Numbers**

by

**R. D. Carmichael**-

**John Wiley & Sons**,

**1914**

The purpose of this book is to give the reader a convenient introduction to the theory of numbers. The treatment throughout is made as brief as is possible consistent with clearness and is confined entirely to fundamental matters.

(

**9265**views)

**Elementary Number Theory**

by

**W W L Chen**-

**Macquarie University**,

**2003**

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.

(

**9312**views)

**Elementary Number Theory**

by

**William Edwin Clark**-

**University of South Florida**,

**2002**

One might think that of all areas of mathematics arithmetic should be the simplest, but it is a surprisingly deep subject. It is assumed that students have some familiarity with set theory, calculus, and a certain amount of mathematical maturity.

(

**10442**views)

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

by

**William Stein**-

**Springer**,

**2004**

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.

(

**12145**views)

**An Introduction to the Theory of Numbers**

by

**Leo Moser**-

**The Trillia Group**,

**2007**

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.

(

**13454**views)