Search
We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.

# Carl Friedrich Gauss - Essay Example

Summary
Hope this letter of mine finds you in the best of health and spirit. Here, I would like to draw your attention towards the discoveries and inventions of the great mathematicians who worked all their lives developing the ideas on the new geometry by studying the shortcomings of the traditional works…

## Extract of sampleCarl Friedrich Gauss

Gauss represented a clear expression of a great mathematician of a small town called Gottingen. He is known in history for his remarkable geometrical discoveries. He is known for his discoveries in method of least squares, quadratic reciprocity, and non-Euclidean geometry. One of his greater works is also seen in astronomy. I totally agree with the works of Gauss on construction of polygons, least squares method, the fundamental theorem of algebra or the non-Euclidean's - differential geometry. Though he never published these discoveries anywhere but his work is highly remarkable.
Gauss started with these discoveries at a very early age. He proved the construction of regular 17 sided polygons called heptadecagon. He proved that this can be constructed simply with the help of a ruler and a compass and thinks this is one of his greatest achievements in the history of geometry. Because as opposed to Kepler, Gauss proved that not only a triangle, square, pentagon, hexagon are constructible but then he proved it right that 17 sided figures can also be constructed with the equal lengths. He further added that 17 gon can be constructed using four quadratic equations (Swetz, 1994).
One more important discovery of Gauss is the theory of least squares and normal distribution. He proved that every curve led to the least squares. He believed that the problems can be simplified by solving the errors evenly distributed. As a result, this gave the accurate estimates by solving the errors incurred in the equation. The construction was possible with trigonometric functions along with arithmetic and square roots. Gaussian distribution curve is a bell shaped curve used for normal distribution. In the Gaussian distribution, all the values combined give the value as 1.

Gauss gave the fundamental theorem of algebra where he proved that any algebraic equation to the degree n, where n is a positive integer will have n number of roots. I totally agree with Gauss in his work on Disquisitiones Arithmeticae where he investigated the number theory within mathematics. Also, he made it possible to draw a circle into equal arch's just with the help of a ruler and a compass. In the number theory, he came up with an idea of congruence in numbers with the help of which infinite series of whole numbers can be broken into smaller chunks of numbers. This can e explained by taking an example: 700 - 400 = 300 right. Here the remainder is 300. This remainder can further be divided into smaller chunks of numbers like 100, 50, and 30 and so on. Here 700 and 400 are congruent to each other by modulo 100. This concept was very much popular among the digital watches. The gauss theory of numbers has its relevance even today and many great mathematicians of today hold this opinion. It plays a crucial role in the Internet world today through security technologies (Struik 1987).
In is theory of geometry, he never agreed to Euclidean's indeed known for his non-Euclidean geometry. He found that parallel postulate fails in the Euclid's geometrical theory that through a point which is not on the line, in this case either there is none or more than one parallel line. The basic difference between the Euclid and Non Euclid's theory on geometry was the nature of parallel lines. Non Euclid theory discovered the geometry of space. The non Euclidean's geometry studied Elliptic geometry ... Read More
Cite this document
• APA
• MLA
• CHICAGO
(“Carl Friedrich Gauss Essay Example | Topics and Well Written Essays - 1000 words”, n.d.)
(Carl Friedrich Gauss Essay Example | Topics and Well Written Essays - 1000 Words)
https://studentshare.net/biographies/273294-carl-friedrich-gauss.
“Carl Friedrich Gauss Essay Example | Topics and Well Written Essays - 1000 Words”, n.d. https://studentshare.net/biographies/273294-carl-friedrich-gauss.
Click to create a comment
CHECK THESE SAMPLES - THEY ALSO FIT YOUR TOPIC
Women and Science in the southern African Development Region (SADC)
Running Head: WOMEN AND SCIENCE Women and Science in the Southern African Development Region (SADC) Abstract The work is based upon role of women in science, the trend that has followed and how its change.
6 Pages(1500 words)Essay
Impacts of Johann Carl Friedrich Gauss as a Mathematician
Yet, Gauss, or his mathematical ideas/theories, had created a stir in the world of mathematics, both past and present. For one, Gauss had proposed a revolutionary idea about the universe in general and the spatial dimension in particular. By and large, this exception mathematician -- a German by nationality and a mathematician by profession -- had made a great impact to the realm of mathematics.
4 Pages(1000 words)Term Paper
Friedrich Nietzsche
Nobody before and after Nietzsche cannot foresee the danger of society that consists of ‘little, gray and resigned to their fate’ people as Nietzsche has done. Thus, the idea of elevation of human being and overcoming of all petty, commonplace and insignificant for life things is the central idea of Nietzsche’s philosophy.
5 Pages(1250 words)Essay
Carl Jung
Feud used psychosexual phenomena for explanation of the human behavior but Jung on the contrary used the primary source of motivation to explain human behavior in a spiritual source. Jung believed that the corresponding and interacting drives of differentiation and integration were the forces for the development, healing and growth of individuals.
5 Pages(1250 words)Essay
Eudoxus and Dedekind Irrational Numbers and Mathematical Development
He was also a doctor and astronomer and is credited with the theory of concentric spheres to explain the apparent motions of the heavenly bodies. Eudoxus proposed a theory of proportion to explain how incommensurable magnitudes could be used in geometry. His theory has been preserved for us in the fifth book of Euclid Elements (Dedekind, 1948).
13 Pages(3250 words)Essay
Encryption
Encryption is the conversion of data into a form called ciphertext. Ciphertext is not understandable unless it is decrypted History tells us that even during the time of Julius Ceasar a method of encryption was already being used in military communications to prevent the enemy from discovering battle plans (Mycrypto.net 2008).
6 Pages(1500 words)Essay
Women and science
It was during the late 1500s and the early 1600s that scholars and scientists began to increasingly perceive that experiments and mathematics were the keys to scientific development. This perception was instrumental in bringing about a scientific revolution. The names of persons responsible for this at that time and in the years that followed are etched forever in the halls of fame.
15 Pages(3750 words)Essay
Title is Open
Much of Gauss’ influence is seen in the fields of mathematics and science. He had a true passion in mathematics (West, 2008). This piece of work
2 Pages(500 words)Essay
Sumary: Rene Descartes - Carl Friedrick Gauss
His meditations in The First Philosophy in particular have continued to form the core content of most university philosophy teachings (Descartes & Anscombe,
4 Pages(1000 words)Essay
FIN 352 (1)
An off-balance sheet risk is that risk that a company incurs due to losses that are fully traceable to the investors. For instance, in order to facilitate the transfer of assets or to finance activities of an
2 Pages(500 words)Essay
Let us find you another Essay on topic Carl Friedrich Gauss for FREE!
+16312120006