Jakob steiner. Life History of Jakob Steiner Essay Example 2023-01-05
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Jakob Steiner was a Swiss mathematician who made significant contributions to geometry in the 19th century. He was born in 1796 in the village of Utzenstorf, Switzerland and showed an early aptitude for math and science. He studied at the University of Bern and later taught at the Gymnasium in Bern, where he became well-known for his mathematical abilities.
One of Steiner's most famous contributions to geometry was his work on the theory of conic sections. He developed a new method for constructing the tangents to a conic section, which became known as Steiner's construction. He also made significant contributions to the study of higher-dimensional geometry and was the first to prove that there are exactly five regular polyhedra in four dimensions.
In addition to his work in geometry, Steiner also made contributions to other areas of mathematics, including algebra and number theory. He was a member of the Swiss Academy of Sciences and was highly respected by his peers for his mathematical skills and insights.
Steiner's contributions to geometry were recognized and celebrated throughout his lifetime, and he received numerous awards and accolades for his work. Despite his many achievements, however, he remained humble and dedicated to his work, always striving to improve upon his existing knowledge and understanding of math.
In conclusion, Jakob Steiner was a brilliant mathematician who made significant contributions to the field of geometry and other areas of mathematics. His work laid the foundation for many important developments in these fields and he remains an important figure in the history of mathematics.
Biografía de Jakob Steiner (Su vida, historia, bio resumida)
Also at this time he became interested in mechanics and he wrote three unpublished manuscripts on the topic in 1821, 1824 and 1825. In this manner one obtains, simultaneously, the elements from which nature starts when, with the greatest possible economy and in the simplest way, it endows the figures with infinitely many properties. I glimpsed the idea of the organic unity of all the objects of mathematics; and I believed at that time that I could find this unity in some university, if not as an independent subject, at least in the form of specific suggestions. Steiner died at age 67 in Bern, Switzerland, on April 1, 1863, mourned by students and colleagues who revered him as both a brilliant mathematician and a dedicated and inspiring teacher. Skizze eines Systems der Geometrie Heidelberg, 1810 , 14—15.
He returned to German to lecture during the winters until he became bedridden. Draw a triangle ABC in such a way that vertices A, B, C lie on l, m, n and sides BC, CA, AB pass through P, Q, R. It leads, as will be seen, to the most interesting and fruitful properties of curves of the second order, the so—called conic sections. Hermann Gunther Grassmann , Grassmann, Hermann Günther mathematics. A Dedicated Educator Through the efforts of Jacobi as well as other noted German intellectuals, on October 8, 1834, the 38-year-old mathematician was honored by the University of Berlin, which established a chair of geometry for him.
Steiner's Circle Problem that of all plane surfaces having equal perimeter, the circle has the greatest area; and of all plane surfaces with equal area, the circle has the least perimeter The image of Steiner as a younger man which you see on this page is based on a crayon portrait by Niklaus Senn, published by J. Order replaces chaos: and one sees how all the parts mesh naturally, arrange themselves in the most beautiful order, and form well-defined groups. Contrary to feelings expressed by Moritz Pasch, Steiner felt that excessive calculation replaced thinking, but the practice of geometry stimulated it. His methodology, which has since become a foundation of elementary educational theory, takes into account the unique needs and talents of each student; traditional classroom repetition and memorization are replaced by hands-on learning and the resulting development of critical-thinking skills. In the application of 1826 Steiner also wrote: Without my knowing or wishing it, continuous concern with teaching has intensified by striving after scientific unity and coherence. In volume II, § 2, of the Vorlesungen über synthetische Geometrie 1867 , Steiner expressed this property through the statement that the two constructs are of the same cardinality, an expression that In the first chapter of this part of the Vorlesungen, Steiner discusses the elements of projectivity, emphasizing the duality between point and straight line. In contrast, geometry developed from ancient man's desire to measure the earth, a goal impossible to accomplish except by abstract means.
Steiner also extrapolated the work of his colleague, French geometer Jean Poncelet 1788-1837 , a military engineer and professor of mechanics at the University of Paris. Beginning his education at the age of 18, Steiner attended universities in both Berlin and Heidelberg, then worked at a Prussian school while developing the mathematical theories that caused him to be hailed by many as the most eminent geometer since Demonstrated Skill with Sums The eighth child born to farmer Niklaus Steiner and his wife, Anna, Steiner quickly found that his apptitude for mathematical calculations was useful. One of the simplest follows. What properties will this barycentric curve possess? Following from his original work, Steiner derived other mathematical theorems and relationships. Utzensdorf, Bern, Switzerland, 18 March 1796; d. Steiner had a poor education and did not learn to write until he was fourteen.
In the second chapter he treats the simple elements of solid geometry. Therefore, a plane is divided by n arbitrary straight lines into at most 2+2+3. He spent the winter of 1854- 55 in Paris and during his stay there was elected to the He was one of the greatest contributors to Die geometrischen Konstructionen ausgefuhrt mittelst der geraden Linie and eines festen Kreises Geometric construction executed by means of the straight line and a circle 1833. Although his role as educator to younger students relegated him teaching basic mathematical concepts, he challenged his intellect outside the classroom with theoretical work and published some of his most significant findings beginning in 1826 with his most notable work, "Einige geometrische Betrachtungen," which appeared in a periodical published by his friend, A. The type of difficulties that Steiner had experienced at the Werder Gymnasium again arose at the Technical School.
Algebra is the area of mathematics that uses letters or other symbols to describe the properties and relationships among complex numbers and other abstract entities. Like Poncelet, Steiner believed that geometry was a tool that encouraged creative thinking while algebra merely reiterated existing numerical complexities. In his will Steiner bequeathed a third of his fortune to the Berlin Academy to establish the Steiner Prize. However, within the next four years, his mathematical powers had been recognized, and he was permitted to attend the famous innovative school of Johann Heinrich Pestalozzi in Yverdon, Switzerland. Steiner often gave his courses as colloquiums, posing questions to the students.
In a short paper of fundamental importance written in 1848 entitled Allgemeine Eigenschaften algebraischer Curven General properties of algebraic curves he discussed polar curves of a point with respect to a given curve. Jakob was the youngest of the children and spent his early years helping his parents with the small farm and business that they ran near the village of Utzenstorf, about 24 km north of Bern. Las normalmente conocidas como rectas de Simson se deben en realidad a William Wallace 1768-1843 , aunque llevan el nombre de Robert Simson 1687-1768. Steiner was convinced, as Euclid had been, in what he termed the "organic unity of all the objects of mathematics": that there are interrelationships between what were then considered to be unrelated geometric theorems. He was sent to Innsbruck to learn the art of c. Ueber die Flächen dritten Grades.
It shows the tremendous achievements of which he was still capable—given the necessary time and freedom from distractions. Opere matematiche di Luigi Cremona, I Milan, 1914 , 313—466. Today these ellipses are called the 'Steiner ellipses'. He also developed the formula for partitioning of space by planes. Grassmann came from a family of scholars.
