7] Zhang Wenpeng, The elementary number theory
(in Chinese), Shaanxi Normal University Press, Xi'an, 2007.
The main prerequisite is basic linear algebra, though some knowledge of elementary number theory
would be helpful, and the chapters on polynomial factorization assume some familiarity with basic abstract algebra, especially the theory of polynomial rings.
of Maryland-College Park) introduces the theory of elliptic curves to readers with a background in elementary number theory
and in groups and fields at about the level of a strong undergraduate or beginning graduate course in abstract algebra; in particular, he does not assume any knowledge of algebraic geometry.
Some nursing curricula include a course in contemporary mathematics, which is composed of the study and applications of elementary number theory
, algebra, geometry, measurement, graph sketching and interpretations, and descriptive statistics.
One of the most important results of elementary number theory
is the so-called law of quadratic reciprocity, which links prime numbers (those evenly divisible only by themselves and one) and perfect squares (whole numbers multiplied by themselves).
Number Theory: A Lively Introduction with Proofs, Applications, and Stories, is a new book that provides a rigorous yet accessible introduction to elementary number theory
along with relevant applications.
It's a book that will work well with most math or computing science courses, on a subject that pertains to graph theory, point set topology, elementary number theory
, linear algebra, analysis, probability theory, geometry, group theory, and game theory, among many other topics.
Topics include Ramsey number theory (that there cannot be complete disorder and in any large system there must always be some structure), additive number theory, multiplicative number theory, combinatorial games, sequences, elementary number theory
and graph theory.