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Essay about carl gauss
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Johann Carl Friedrich Gauss was a well-known scientist, astronomer, and mathematician from Brunswick, Germany. Born on April 30, 1777, to a father, who was a gardener and brick layer, and an illiterate mother. Gauss was sent to the Collegium Carolinium by the duke of Braunschweig, where he attended from 1792 to 1795. From 1795 to 1798, Carl attended the University of Gottingen. While attending the university, he kept independently rediscovering several important theorems. In 1796, Gauss showed what he was capable of. He was capable of showing that “any regular polygon, each of whose odd factors are distinct Fermat primes, can be constructed by ruler and compass alone,” thereby adding to the work of the Greek mathematicians before him. On March 30 of 1796, the German mathematician discovered a construction of the heptadecagon, and the quadratic reciprocity law on April 8th of the same year. At the end of May 1796, Carl conjectured the prime number theorem. In July of that year he also revealed that every positive integer can be expressed as a sum of at most three triangular numbers. A...
Loewenberg, Bert J. "The Reaction of American Scientists to Darwinism." American Historical Review. 38 (1933): 687-701.
Goldbach’s conjecture is one of the most well-known theories in all of mathematics. His conjecture states that, “every even integer greater than 2 can be expressed as the sum of two primes.” Goldbach’s conjecture includes the Goldbach number and many other algebraic expressions. Goldbach’s conjecture is so crucial that it was even featured in Hans Magnus Enzensberger’s The Number Devil. During the 5th night, the number devil shows Robert the Goldbach conjecture. On page 98 of The Number Devil, the number devil gives Robert examples of how to solve and work Goldbach’s conjecture. The number devil uses triangles as an example to introduce Goldbach’s conjecture. The number devil makes Robert throw coconuts to make triangles. This example shows a perfect example of Goldbach’s conjecture because it shows that “every even integer greater than 2 can be expressed as the sum of two primes.” The number
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
“’The profound study of nature is the most fertile source of mathematical discoveries’ (Joseph Fourier)” (Deb Russell). This quote was spoken by a famous mathematician by the name of Joseph Fourier. Throughout his life, Joseph Fourier had made numerous contributions to the math community, many of which are still taught in schools today. From his early years until death, he lived an adventurous life filled with multiple achievements, all of which contribute to the status of legendary mathematician.
Pierre de Fermat Pierre de Fermat was born in the year 1601 in Beaumont-de-Lomages, France. Mr. Fermat's education began in 1631. He was home schooled. Mr. Fermat was a single man through his life. Pierre de Fermat, like many mathematicians of the early 17th century, found solutions to the four major problems that created a form of math called calculus. Before Sir Isaac Newton was even born, Fermat found a method for finding the tangent to a curve. He tried different ways in math to improve the system. This was his occupation. Mr. Fermat was a good scholar, and amused himself by restoring the work of Apollonius on plane loci. Mr. Fermat published only a few papers in his lifetime and gave no systematic exposition of his methods. He had a habit of scribbling notes in the margins of books or in letters rather than publishing them. He was modest because he thought if he published his theorems the people would not believe them. He did not seem to have the intention to publish his papers. It is probable that he revised his notes as the occasion required. His published works represent the final form of his research, and therefore cannot be dated earlier than 1660. Mr. Pierre de Fermat discovered many things in his lifetime. Some things that he did include: -If p is a prime and a is a prime to p then ap-1-1 is divisible by p, that is, ap-1-1=0 (mod p). The proof of this, first given by Euler, was known quite well. A more general theorem is that a0-(n)-1=0 (mod n), where a is prime...
Dmitri Ivanovich Mendeleev Dmitri Mendeleev was one of the most famous modern-day scientists of all time, who contributed greatly to the world’s fields of science, technology, and politics. He helped modernize the world and set it further ahead into the future. Mendeleev also made studying chemistry easier, by creating a table with the elements and the atomic weights of them put in order by their properties. Dmitri Ivanovich Mendeleev was born in Tobolsk, Siberia, on February 7, 1834. The blonde-haired, blue-eyed boy was the son of Maria Dmitrievna Korniliev and Ivan Pavlovitch Mendeleev and the youngest of 14 children.
Brunswick in 1792 when he was provided with a stipend to allow him to pursue his
Herbert George Wells had a mind well ahead of those in his time period. Wells often looked towards the future in his work as he became and important piece to the foundation of science fiction.
The concept of impossible constructions in mathematics draws in a unique interest by Mathematicians wanting to find answers that none have found before them. For the Greeks, some impossible constructions weren’t actually proven at the time to be impossible, but merely so far unachieved. For them, there was excitement in the idea that they might be the first one to do so, excitement that lay in discovery. There are a few impossible constructions in Greek mathematics that will be examined in this chapter. They all share the same criteria for constructability: that they are to be made using solely a compass and straightedge, and were referred to as the three “classical problems of antiquity”. The requirements of using only a compass and straightedge were believed to have originated from Plato himself. 1
In 1629, a Flemish mathematician, Albert Girard, published a book called L’invention nouvelle en l’ Algebre. In his book, he claimed that there were always n solutions for equations of degree n. However he did not assert that solutions are of the form a + bi, w...
Carl Friedrich Gauss was born April 30, 1777 in Brunswick, Germany to a stern father and a loving mother. At a young age, his mother sensed how intelligent her son was and insisted on sending him to school to develop even though his dad displayed much resistance to the idea. The first test of Gauss’ brilliance was at age ten in his arithmetic class when the teacher asked the students to find the sum of all whole numbers 1 to 100. In his mind, Gauss was able to connect that 1+100=101, 2+99=101, and so on, deducing that all 50 pairs of numbers would equal 101. By this logic all Gauss had to do was multiply 50 by 101 and get his answer of 5,050. Gauss was bound to the mathematics field when at the age of 14, Gauss met the Duke of Brunswick. The duke was so astounded by Gauss’ photographic memory that he financially supported him through his studies at Caroline College and other universities afterwards. A major feat that Gauss had while he was enrolled college helped him decide that he wanted to focus on studying mathematics as opposed to languages. Besides his life of math, Gauss also had six children, three with Johanna Osthoff and three with his first deceased wife’s best fri...
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
Galileo was probably the greatest astronomer, mathematician and scientist of his time. In fact his work has been very important in many scientific advances even to this day.
The 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...
Euclid, also known as Euclid of Alexandria, lived from 323-283 BC. He was a famous Greek mathematician, often referred to as the ‘Father of Geometry”. The dates of his existence were so long ago that the date and place of Euclid’s birth and the date and circumstances of his death are unknown, and only is roughly estimated in proximity to figures mentioned in references around the world. Alexandria was a broad teacher that taught lessons across the world. He taught at Alexandria in Egypt. Euclid’s most well-known work is his treatise on geometry: The Elements. His Elements is one of the most influential works in the history of mathematics, serving as the source textbook for teaching mathematics on different grade levels. His geometry work was used especially from the time of publication until the late 19th and early 20th century Euclid reasoned the principles of what is now called Euclidean geometry, which came from a small set of axioms on the Elements. Euclid was also famous for writing books using the topic on perspective, conic sections, spherical geometry, number theory, and rigor.