Introduction
Publishing over 150 works, Carl Friedrich Gauss, born in Brunswick, Germany (1777), is notably a world-renowned mathematician. He has contributed to some of the most influential and fundamental theories and concepts in mathematics including geometry, probability theory, number theory, the theory of functions, planetary astronomy and most importantly the theorem of algebra. Being born into a underprivileged family, Gauss was fortunate enough to have his mother and uncle recognise his genius abilities for mathematics and thus, provided him with education to further his gift. Gauss attended college, devoting his life to mathematics, discovering and unearthing major mathematical concepts along the way, which he kept in private diaries until they were perfect enough for publishing. Gauss is considered to be alongside Isaac Newton and Archimedes, as one of the three greatest mathematicians of all time.
Mathematical Concepts
Fundamental Theory of Algebra
Gauss significantly contributed to the fundamental theory of algebra in more ways than one. After finishing college (1792) he discovered that a ruler and compass alone could construct a regular polygon of 17 sides. This was a substantial finding as it opened the door to later ideas of the Galois theory, through not only results but also proof, found in analysis of the factorisation of polynomial equations. This foundation of knowledge he created lead to him being the first mathematician to give rigorous proof of the theorem. This theorem was first stated by d’Alembert (1764), but was fully proved by Gauss at the age of 21, leading to his doctoral thesis (1797), which provided further evidence of the fundamental theorem of algebra. All three proofs can be located in the th...
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...ms that are present in today’s society would not be possible without Gauss’s effort on number theory.
• Besides providing attributes such as the Fundamental Theorem of Algebra to mathematics Gauss also contributed to the developmental principle of the Conservation of Energy, discovered Ceres, an asteroid orbiting around the sun and presented the Method of Least Squares, which is a method used in all sciences to minimise the impact of measurement error. Without these contributions both mathematicians and scientists would not have the knowledge and equipment to continue to further these issues.
• On a basic note, Gauss’s theorems and theories have enabled a smoother transaction in everyday life, whether known or not by individuals, his works have left an everlasting imprint on the development of mathematics in areas including technology and practical problem solving.
Theodor Seuss Geisel was born on march 2nd of 1904, in Springfield, Massachusetts. After service in the army during world war two, he went advertising. For a time, he was made on an editorial cartoonist for PM Newpaper in NYC.In 1958 founded Beginner Books Inc. Random House became a division in 1960 of educational and informational films for children. Two documentary films that he made during the period, Hitler Lives and Design for death, later received Academy Awards. In 1957 Geisel became founding president
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.
In Chapter 2 of Journey Through Genius, titled “Euclid’s Proof of the Pythagorean Theorem,” the author, William Dunham, begins by introducing the Greek contributions to mathematics. The first figure introduced, Plato, brought enthusiasm to the subject. He was not an actual mathematician; he was a philosopher. His main contribution to math was establishing the Academy, a center devoted to “learning and contemplation for talented scholars.” The Academy was mainly focused on mathematics and produced talented scholars, such as Eudoxus.
Although little is known about Euclid's early and personal life, he was known as the forerunner of geometrical knowledge and went on to contribute greatly in the field of mathematics., Euclid was known to have taught the subject of mathematics in Ancient Egypt during the reign of Ptolemy I. He was well-known, having written the most permanent mathematical works of all time, known as the 'Elements' that comprised of the 13 gigantic volumes filled with geometrical theories and knowledge. Euclid’s Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development of geometry and other branches of mathema...
Thales made a huge contribution to the world of mathematics; he came up with five theorems which are used today in geometry and trigonometry. Thales of Miletus is one of the first known mathematicians in Greek history. He began by using the process of deduction from first principles. Many people question who came up with geometric math? Well, Thales of Miletus did; using his theorems you can figure out how triangles and angles are figured the way they are.
This paper presents a development of mathematical analysis, illustrating the contribution of Euler to the development of calculus in the specific examples. Mathematical analysis is a combination of divisions of mathematics that includes differentiation, integration, limits, infinite series and analytic function. First ideas of the concepts of mathematical analysis were established by the ancient Greek mathematicians. All the divisions of calculus, including analysis, had a similar idea: division on the infinitely small elements but the nature of analysis was unfamiliar to the authors of an idea. They developed the principle of infinity and established a method to calculate the area and volume of some plane figures and solids.
In many ways Thales changed the world, but what makes him so popular is the theorems he made in math. I have not used this type of math yet, but I am sure I will use it in one of my future geometry classes. I may have used one or two of these things in my geometry class, but just can’t recall them.
...st important scientists in history. It is said that they both shaped the sciences and mathematics that we use and study today. Euclid’s postulates and Archimedes’ calculus are both important fundamentals and tools in mathematics, while discoveries, such Archimedes’ method of using water to measure the volume of an irregularly shaped object, helped shaped all of today’s physics and scientific principles. It is for these reasons that they are remembered for their contributions to the world of mathematics and sciences today, and will continue to be remembered for years to come.
No other scholar has affected more fields of learning than Blaise Pascal. Born in 1623 in Clermont, France, he was born into a family of respected mathematicians. Being the childhood prodigy that he was, he came up with a theory at the age of three that was Euclid’s book on the sum of the interior of triangles. At the age of sixteen, he was brought by his father Etienne to discuss about math with the greatest minds at the time. He spent his life working with math but also came up with a plethora of new discoveries in the physical sciences, religion, computers, and in math. He died at the ripe age of thirty nine in 1662(). Blaise Pascal has contributed to the fields of mathematics, physical science and computers in countless ways.
The Scientific Revolution was sparked through Nicolaus Copernicusí unique use of mathematics. His methods developed from Greek astr...
Carl Friedrich Gauss is revered as a very important man in the world of mathematicians. The discoveries he completed while he was alive contributed to many areas of mathematics like geometry, statistics, number theory, statistics, and more. Gauss was an extremely brilliant mathematician and that is precisely why he is remembered all through today. Although Gauss left many contributions in each of the aforementioned fields, two of his discoveries in the fields of mathematics and astronomy seem to have had the most tremendous effect on modern day mathematics.
Between 1850 and 1900, the mathematics and physics fields began advancing. The advancements involved extremely arduous calculations and formulas that took a great deal of time when done manually.
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
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...
However, between 1850 and 1900 there were great advances in mathematics and physics that began to rekindle the interest (Osborne, 45). Many of these new advances involved complex calculations and formulas that were very time consuming for human calculation.