Essay on Number Theory

Research papers Throughout the mathematical process, there are many digital patterns with special and different characteristics. Even numbers, prime numbers, odd numbers, multiples of 4, 8, 7, 10 etc are available. An important and strange number pattern is a collection of Fibonacci numbers. This is a sequence of numbers in this mode: 1, 1, 2, 3, 5, 8, 13, 21 etc. The idea is that each number is the sum of the first two numbers (n = [n - 1] + [n - 2]) (Kreith). Fibonacci numbers are used in various topics of mathematics, such as Pascal's triangle and golden ratio / part.

Number theory is a big attractive field of mathematics, also called "high-level arithmetic" and consists of research on the nature of integers. Prime numbers and prime factor decomposition are particularly important in number theory, as there are numerous functions such as divisor functions, Riemann zeta functions, and all functions. An excellent introduction to number theory is in Ore (1988) and Beiler (1966). The classic history of this theme (now a bit old) is the history of Dickson (2005abc).

Modern number theory is a broad subject divided into elementary school number such as basic number theory, algebraic number theory, analytic number theory, geometric number theory and stochastic number theory. These categories reflect the methods used to solve integer problems. Calculate the ability of dates to return to prehistoric times. This may be seen in archaeological remains like bones 10,000 years ago from the Congo region of Africa. It is a sign of an unknown ancestor. Very close to the dawn of civilization, people have learned the concept of "diversity" and therefore took the first step to study numbers.

The concept of scoring can be traced back to prehistoric times. Ancient Egyptians used Egyptian fractional notation to understand mathematical text figures such as Rhind Mathematical Papyrus and Kahun Papyrus. Classical mathematicians in Greece and India have studied rationality as part of a general study of number theory. The most famous of these is the Euclidean element that dates back to around 300 BC. In Indian text, the most relevant is Sthananga Sutra, which also uses number theory as part of general research in mathematics.