bütünler

bütünler is a Turkish word that translates to "wholes" or "integers" in English. In a mathematical context, bütünler refers to the set of all integers, which includes positive whole numbers, negative whole numbers, and zero. This set is typically denoted by the symbol Z in mathematics. The integers are fundamental to arithmetic and are used extensively in various branches of mathematics, including algebra, number theory, and calculus.

The set of bütünler can be visualized on a number line, extending infinitely in both positive and negative directions. They are ordered, meaning that for any two distinct bütünler, one is always less than the other. This ordering allows for comparisons and the establishment of inequalities. Operations such as addition, subtraction, and multiplication are well-defined within the set of bütünler, always resulting in another bütünler. Division, however, does not always produce an integer result, which is why the set of rational numbers is introduced to include fractions. Understanding bütünler is a foundational step in grasping more complex number systems.