Irrational numbers are real numbers that cannot be written as a simple fraction or a whole number. For example, irrational numbers can be included in the category of √2, e, Π, Φ, and many more. The √2 is equal to 1.4142. e is equal to 2.718. Π is equal to 3.1415. Φ is equal to 1.6180. None of these numbers are “pretty” numbers. Their decimal places keep going and do not end. There is no pattern to the numbers of the decimal places. They are all random numbers that make up the one irrational number. The concept of irrational numbers took many years and many people to discover and prove (I.P., 1997).
There are many people that contributed to the discovery of irrational numbers. Some of these people include Hippasus of Metapontum, Leonard Euler, Archimedes, and Phidias. Hippasus found the √2. Leonard Euler found the number e. Archimedes found Π. Phidias found the golden ratio. Hippasus found the first irrational number of √2. In the 5th century, he was trying to find the length of the sides of a pentagon. He successfully found the irrational number when he found the hypotenuse of an isosceles right triangle. He is thought to have found this magnificent finding at sea. However, his work is often discounted or not recognized because he was supposedly thrown overboard by fellow shipmates. His work contradicted the Pythagorean mathematics that was already in place. The fundamentals of the Pythagorean mathematics was that number and geometry were not able to be separated (Irrational Number, 2014).
Zeno of Elea was the next person who attempted to prove irrational numbers by challenging the Pythagorean mathematics as well. He lived from 490BC to 430BC. Zeno had influence from Socrate...
... middle of paper ...
...r position in mathematics and their relation until about the 5th century. People began to have a drive to find more about the irrational numbers. Euler put a symbol with Π and e, but he was not the first to discover these wonderful numbers that help people in every day activities and jobs.
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
I.P. (1997). Assessing irrational irregularity. Science News, 151(22), 340.
Irrational Number. (Apr. 4, 2014). Irrational Number.
O’Connor, J. J. & Robertson, E. F. (Sept. 2001). The Number e.
Ramasinghe, W. (2005). A Simple Proof e2 is Irrational. International Journal of Mathematical Education in Science and Technology, 36(4):407-441
Need Writing Help?
Get feedback on grammar, clarity, concision and logic instantly.Check your paper »
- In the book Predictably Irrational, Dan Ariely brings forth the idea that all human behavior is done according to certain patterns; however these patterns are not always the patterns you would think of right off the bat. He leads the reader in a compelling journey into the realm of the human mind, and how humans view the world. For every turn of the page there is something new and surprising. However even with this constant change the book follows the same pattern, proving all thought is irrational.... [tags: patterns, human mind, irrational]
837 words (2.4 pages)
- Walker and Avant: Strategies for Concept Analysis and Concept Developments Jessica L. Kokich Grand Canyon University:NUR-502 November 11, 2014 Walker and Avant: Strategies for Concept Analysis and Concept Development Bringing clarity to a definition of a concept used in a research development is called concept analysis. Theories and research studies must go through the process of concept analysis to promote understanding of concepts used for the study. There are many methods used in research today bring meaning to concepts.... [tags: Nursing, Nursing theory, Nursing practice, Patient]
978 words (2.8 pages)
- The concept of sustainability can be attributed to the Roman Empire development. The Romans focused on the development of cities and settlements in a planned and proper way, with a vision of how future expansion would be conducted (Swarbrooke, 2000). Early traditional agricultural practices were also based on the principles of sustainability in some contexts. The traditional farm land was managed to preserve the land from one season to the next (Swarbrooke, 2000). The industrial revolution changed these ideas and concepts.... [tags: Sustainability, Sustainable development]
759 words (2.2 pages)
- This report explores the theoretical concepts associated with tourism, leisure and hospitality developments in Blackpool. It also looks at the economic, social, political and environmental impacts of tourism. There are a variety of reasons why Blackpool has been developed as a tourist resort, and it has many historical sites of interest including the beach and Blackpool Tower. It also has a variety of leisure activities. Blackpool also offers a wide range of accommodation and restaurant options.... [tags: Tourism, Hospitality, Blackpool, development, econ]
4169 words (11.9 pages)
- Mathematics is either loved or hated by those who are charged with mastering it. In a world that has such strong feelings about mathematics, negative and complex numbers have been considered erroneous throughout most of history. It is understandable that many young students have dread in their hearts about new and unknown topics like negative and complex numbers, especially when mathematicians for thousands of years have had those same feelings. In Tennessee, according to state standards, negative numbers are introduced in sixth grade as an extension of the rational number system and complex numbers are introduced in high school Algebra.... [tags: mathematical concepts]
1304 words (3.7 pages)
- Child psychology is a science that gives parents a set of guidelines to which they can refer too if they are experiencing difficulties in raising their child. When a child is ten years old, social development and self-concept are two domains of development that mold a child into an adult. Robert Kail was a researcher who developed these four themes in child development. Two out of those four themes can relate to the two domains of social development and self-concept. A child’s social skills begin to develop within months of when they are born.... [tags: Adolescence, High school, Developmental psychology]
1520 words (4.3 pages)
- This paper seeks to identify the various emerging trends and current issues surrounding areas of training and development in an organization. The paper has evaluated emerging trends under the topic organizational development in training and strategy, with the focus in Japan. The person who reads this paper will be taken through a comprehensive step by step process to determine the most significant trend. The paper will also mention the impacts this trends have in the future organization, this will then open the platform for my literature review.... [tags: Organizational Development, Training Strategies]
2782 words (7.9 pages)
- Fibonacci numbers are numbers in the Fibonacci sequence. In this paper, you will find out what Fibonacci numbers are related to. You will also find out how Fibonacci numbers are everywhere in the world. Though Fibonacci numbers are found in mathematical subjects, they are also found in other concepts. According to the Merriam-Webster Dictionary “Fibonacci Numbers are integers in the infinite sequence 1, 1, 2, 3, 5, 8, 13 … of which the first two terms are 1 and 1 and each succeeding term is the sum of the two immediately preceding.” This is also known as a recursive sequence, because each number is a function of the preceding two numbers.... [tags: related, nature, concepts, music, poetry]
1897 words (5.4 pages)
- Dyscalculia is learning to comprehend arithmetic such as problems understanding numbers, and learning math facts. It is generally seen as a specific developmental disorder like dyslexia. A quarter of people with Dyscalculia have ADHD. Dyscalculia causes difficulties in everyday arithmetic tasks like the following: This person has a hard time reading clocks, difficulty or inability to comprehend financial planning sometimes even at a basic level. Examples are: balancing a check book, difficulty with multiplication- tables, addition, subtraction, and division.... [tags: learning disabilities, socialization]
886 words (2.5 pages)
- The Self-Concept is a complicated process of gaining self-awareness. It consists of mental images an individual has of oneself: physical appearance, health, accomplishments, skills, social talents, roles, intellectual traits, and emotional states and more –all make up our self-concept. The development process begins at about six or seven months of age. The child begins to recognize “self” as distinct from surroundings. They stare at anything they see, including their own body parts; hands, feet, toes, and fingers.... [tags: Self Concept]
1467 words (4.2 pages)