Essay on Number Theory -- Mathematics Math

Research PaperThroughout math, there are many conventionalitys of summates that have supererogatory and distinct properties. thither are even numbers, primes, odd numbers, multiples of four, eight, seven, ten, and so forth One important and strange pattern of numbers is the set of Fibonacci numbers. This is the sequence of numbers that follow in this pattern 1, 1, 2, 3, 5, 8, 13, 21, etc. The idea is that each number is the sum of its previous two numbers (n=n-1+n-2) (Kreith). The Fibonacci numbers appear in various numbers of math, such as dad?s Triangle and the Golden proportion/Section. It falls under number theory, which is the study of whole or rational numbers. Number Theory develops theories, simple equations, and uses special tools to find specific numbers. Some topic examples from number theory are the Euclidean Algorithm, Fermat?s Little Theorem, and Prime Numbers.Strangely, the Fibonacci numbers appear in spirit too. One familiar appearance in which the Fibonacci nu mbers appear in constitution is the rabbit family line (and bee family line as well). Another strange way in which the Fibonacci numbers relate to genius is the plant kingdom. Because of these strange relationships, I ask the question How and why do the Fibonacci numbers appear in nature? In this paper, I will attempt to answer this question. Pascal?s Triangle - Golden Rectangle 2The man behind the Fibonacci numbers, Leonardo Fibonacci, was born in Pisa in 1175 A.D. During his life, he was a custom officer in Africa and businessman who traveled to various places. During these trips he gained knowledge and skills which enabled him to be recognized by emperor Fredrick II. Fredrick II noticed Fibonacci and ordered him to befool part in a mathematical tournament. This place would eventuall... ...its relation to the Golden Angle, which appears in the primordia of plants in order to move on the maximum number of primordia for plants. I worry to think of an idea in the book, ?Life?s Other Secret,? which says that it?s not just Fibonacci Numbers that consequence it?s also the matter in which they arise (Stewart). 9Works CitedAdam, John. mathsematics in Nature. Princeton, New Jersey Princeton University Press, 2003.Knott, Ron. ?Fibonacci Numbers in Nature? 18, July 2005. 03, Aug 2005. Kreith, Kurt. initiation Professor. Davis, California.Muldrew, Lola. COSMOS Teacher Fellow. Davis, California.Stewart, Ian. Life?s Other Secret. Canada John Wiley & Sons, Inc.University of Cambridge. ?The Life and Numbers of Fibonacci? Sep 1997. 03, Aug 2005. Essay on Number Theory -- Mathematics MathResearch PaperThroughout math, there are many patterns of numbers that have special and distinct properties. There are even numbers, primes, odd numbers, multiples of four, eight, seven, ten, etc. One important and strange pattern of numbers is the set of Fibonacci numbers. This is the sequence of numbers that follow in this pattern 1, 1, 2, 3, 5, 8, 13, 21, etc. Th e idea is that each number is the sum of its previous two numbers (n=n-1+n-2) (Kreith). The Fibonacci numbers appear in various topics of math, such as Pascal?s Triangle and the Golden Ratio/Section. It falls under number theory, which is the study of whole or rational numbers. Number Theory develops theories, simple equations, and uses special tools to find specific numbers. Some topic examples from number theory are the Euclidean Algorithm, Fermat?s Little Theorem, and Prime Numbers.Strangely, the Fibonacci numbers appear in nature too. One familiar way in which the Fibonacci numbers appear in nature is the rabbit family line (and bee family line as well). Another strange way in which the Fibonacci numbers relate to nature is the plant kingdom. Because of these strange relationships, I ask the question How and why do the Fibonacci numbers appear in nature? In this paper, I will attempt to answer this question. Pascal?s Triangle - Golden Rectangle 2The man behind the Fibonacci numb ers, Leonardo Fibonacci, was born in Pisa in 1175 A.D. During his life, he was a customs officer in Africa and businessman who traveled to various places. During these trips he gained knowledge and skills which enabled him to be recognized by Emperor Fredrick II. Fredrick II noticed Fibonacci and ordered him to take part in a mathematical tournament. This place would eventuall... ...its relation to the Golden Angle, which appears in the primordia of plants in order to give the maximum number of primordia for plants. I like to think of an idea in the book, ?Life?s Other Secret,? which says that it?s not just Fibonacci Numbers that matter it?s also the matter in which they arise (Stewart). 9Works CitedAdam, John. Mathematics in Nature. Princeton, New Jersey Princeton University Press, 2003.Knott, Ron. ?Fibonacci Numbers in Nature? 18, July 2005. 03, Aug 2005. Kreith, Kurt. COSMOS Professor. Davis, California.Muldrew, Lola. COSMOS Teacher Fellow. Davis, California.Stewart, Ian. Life?s Other Secret. Canada John Wiley & Sons, Inc.University of Cambridge. ?The Life and Numbers of Fibonacci? Sep 1997. 03, Aug 2005.