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Bruce Reznick (born February 3, 1953, in New York City) is an American mathematician long on the faculty at the University of Illinois at Urbana–Champaign.He is a prolific researcher [1] noted for his contributions to number theory and the combinatorial-algebraic-analytic investigations of polynomials. [2]
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."
MIT OpenCourseWare is supported by MIT, corporate underwriting, major gifts, and donations from site visitors. [2] The initiative inspired a number of other institutions to make their course materials available as open educational resources .
This organization organized volunteers to translate foreign OpenCourseWare, mainly MIT OpenCourseWare into Chinese and to promote the application of OpenCourseWare in Chinese universities. In February 2008, 347 courses had been translated into Chinese and 245 of them were used by 200 professors in courses involving a total of 8,000 students.
1. The class number of a number field is the cardinality of the ideal class group of the field. 2. In group theory, the class number is the number of conjugacy classes of a group. 3. Class number is the number of equivalence classes of binary quadratic forms of a given discriminant. 4. The class number problem. conductor
Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers , finite fields , and function fields .
Traditionally, number theory is the branch of mathematics concerned with the properties of integers and many of its open problems are easily understood even by non-mathematicians. More generally, the field has come to be concerned with a wider class of problems that arise naturally from the study of integers.
This is a list of topics in number theory. See also: List of recreational number theory topics; Topics in cryptography; Divisibility. Composite number.