Numbers of Strange Kind and their Applications
Manindra Agrawal, Indian Institute of Technology


Numbers are fundamental to mathematics and computer science. Typically, the term "numbers" is understood as integers (1, -5, 7 etc), or rational numbers (1/2, 9/4 etc), or more generally, real numbers (pi = 3.1415...). Formally, numbers are objects that admit the four arithemtic operations of addition, multiplication, subtraction and division satisfying certain intuitive properties. Under such a definition, there are several other classes of objects (other than above) that can be classified as numbers. Some of these classes are even finite!In this talk, I will define a few such "strange" classes of numbers and discuss their application to computation.

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