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Fritz Bützberger
Fritz Bützberger (26 March 1862 – 1 November 1922) was a Swiss mathematician. Life and work Bützberger was educated in the schools of Langenthal and Burgdorf before entering at ETH Zürich in 1880. He graduated in 1884 and began his teaching in his former secondary school in Langenthal. Simultaneously he studied for his doctorate that was awarded him by the university of Bern in 1888 under the advice of Ludwig Schläfli. From 1896 he was mathematics professor at the ''Kantonsschule'' of Zürich. He also delivered some lectures on geometry to future techers in the university of Zürich. From 1903 he had a teaching post in the technical school of Burgdorf. He was the author of several text books for secondary level very valued and reedited several times. The matters included stereometry, trigonometry, algebra and arithmetic. He was also the editor of the oldest papers and manuscripts of Jakob Steiner Jakob Steiner (18 March 1796 – 1 April 1863) was a Swiss mathemat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bleienbach
Bleienbach is a municipality in the Oberaargau administrative district in the canton of Bern in Switzerland. History Bleienbach is first mentioned in 1194 as ''Blaichinbach''. Evidence of prehistoric settlements near Bleienbach include a Hallstatt grave mound in Oberbützberg, a High Medieval earthen fortress in Eggwald, and an ancient road near the village church. The low court and right to appoint priests to the village church were originally part of the Herrschaft of Langenstein- Grünenberg. In 1331 Johann of Aarwangen purchased a half share in the rights to the village. In 1432 some of the rights went to Bern. The remaining rights followed in either 1443 or 1455. Under Bernese control, the village was assigned to the bailiwick of Aarwangen. In 1826, fire destroyed the center of the village, though it was quickly rebuilt. The first village church was, probably, a wooden church from the 8th or 9th centuries. It was replaced with a stone church built in the 9th or 10 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
ETH Zürich
(colloquially) , former_name = eidgenössische polytechnische Schule , image = ETHZ.JPG , image_size = , established = , type = Public , budget = CHF 1.896 billion (2021) , rector = Günther Dissertori , president = Joël Mesot , academic_staff = 6,612 (including doctoral students, excluding 527 professors of all ranks, 34% female, 65% foreign nationals) (full-time equivalents 2021) , administrative_staff = 3,106 (40% female, 19% foreign nationals, full-time equivalents 2021) , students = 24,534 (headcount 2021, 33.3% female, 37% foreign nationals) , undergrad = 10,642 , postgrad = 8,299 , doctoral = 4,460 , other = 1,133 , address = Rämistrasse 101CH-8092 ZürichSwitzerland , city = Zürich , coor = , campus = Urban , language = German, English (Masters and upwards, sometimes Bachelor) , affiliations = CESAER, EUA, GlobalTech, IARU, IDEA League, UNITECH , website ethz.ch, colors = Black and White , logo = ETH Zürich Logo black.svg ETH Züric ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century Swiss Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the la ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arithmetic
Arithmetic () is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers— addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th century, Italian mathematician Giuseppe Peano formalized arithmetic with his Peano axioms, which are highly important to the field of mathematical logic today. History The prehistory of arithmetic is limited to a small number of artifacts, which may indicate the conception of addition and subtraction, the best-known being the Ishango bone from central Africa, dating from somewhere between 20,000 and 18,000 BC, although its interpretation is disputed. The earliest written records indicate the Egyptians and Babylonians used all the elementary arithmetic operations: addition, subtraction, multiplication, and division, as early as 2000 BC. These artifacts do not always reveal the specific process used for solving problems, but t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebra
Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary algebra deals with the manipulation of variables (commonly represented by Roman letters) as if they were numbers and is therefore essential in all applications of mathematics. Abstract algebra is the name given, mostly in education, to the study of algebraic structures such as groups, rings, and fields (the term is no more in common use outside educational context). Linear algebra, which deals with linear equations and linear mappings, is used for modern presentations of geometry, and has many practical applications (in weather forecasting, for example). There are many areas of mathematics that belong to algebra, some having "algebra" in their name, such as commutative algebra, and some not, such as Galois theory. The word ''algebra'' is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Trigonometry
Trigonometry () is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine. Throughout history, trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation. Trigonometry is known for its many identities. These trigonometric identities are commonly used for rewriting trigonometrical expressions with the aim to simplify an expression, to find a more useful form of an expression, or to solve an equation. History Sumerian astronomers studied angle measure, using a division of circles into 360 degrees. They, and later the Babylonians, studied the ratios of the sides of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stereometry
In mathematics, solid geometry or stereometry is the traditional name for the geometry of three-dimensional, Euclidean spaces (i.e., 3D geometry). Stereometry deals with the measurements of volumes of various solid figures (or 3D figures), including pyramids, prisms and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres. History The Pythagoreans dealt with the regular solids, but the pyramid, prism, cone and cylinder were not studied until the Platonists. Eudoxus established their measurement, proving the pyramid and cone to have one-third the volume of a prism and cylinder on the same base and of the same height. He was probably also the discoverer of a proof that the volume enclosed by a sphere is proportional to the cube of its radius.Paraphrased and taken in part from the '' 1911 Encyclopædia Britannica''. Topics Basic topics in solid geometry and stereometry include: * incidence of planes and lines * dihedral angle and solid a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Zürich
The University of Zürich (UZH, german: Universität Zürich) is a public research university located in the city of Zürich, Switzerland. It is the largest university in Switzerland, with its 28,000 enrolled students. It was founded in 1833 from the existing colleges of theology, law, medicine which go back to 1525, and a new faculty of philosophy. Currently, the university has seven faculties: Philosophy, Human Medicine, Economic Sciences, Law, Mathematics and Natural Sciences, Theology and Veterinary Medicine. The university offers the widest range of subjects and courses of any Swiss higher education institution. History The University of Zurich was founded on April 29, 1833, when the existing colleges of theology, the ''Carolinum'' founded by Huldrych Zwingli in 1525, law and medicine were merged with a new faculty of Philosophy. It was the first university in Europe to be founded by the state rather than a monarch or church. In the university's early years, the 183 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zürich
Zürich () is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zürich. It is located in north-central Switzerland, at the northwestern tip of Lake Zürich. As of January 2020, the municipality has 434,335 inhabitants, the Urban agglomeration, urban area 1.315 million (2009), and the Zürich metropolitan area 1.83 million (2011). Zürich is a hub for railways, roads, and air traffic. Both Zurich Airport and Zürich Hauptbahnhof, Zürich's main railway station are the largest and busiest in the country. Permanently settled for over 2,000 years, Zürich was founded by the Roman Empire, Romans, who called it '. However, early settlements have been found dating back more than 6,400 years (although this only indicates human presence in the area and not the presence of a town that early). During the Middle Ages, Zürich gained the independent and privileged status of imperial immediacy and, in 1519, became a primary centre of the Protestant ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Bern
The University of Bern (german: Universität Bern, french: Université de Berne, la, Universitas Bernensis) is a university in the Switzerland, Swiss capital of Bern and was founded in 1834. It is regulated and financed by the Canton of Bern. It is a comprehensive university offering a broad choice of courses and programs in eight faculty (division), faculties and some 150 institutes. With around 18,576 students, the University of Bern is the third largest university in Switzerland. Organization The University of Bern operates at three levels: university, faculties and institutes. Other organizational units include interfaculty and general university units. The university's highest governing body is the Senate, which is responsible for issuing statutes, rules and regulations. Directly answerable to the Senate is the University Board of Directors, the governing body for university management and coordination. The board comprises the rector, the vice-rectors and the administrati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Burgdorf, Switzerland
Burgdorf (french: Berthoud; High Alemannic: ''Bùùrdlef'') is the largest city in the Emmental in the canton of Bern in Switzerland. It was the capital of the district of the same name until 2010, when it became part of the new Emmental district. History Scattered archeological finds indicate that the area around Burgdorf was inhabited during the Neolithic era, the Late Bronze Age and the Hallstatt. During the High Middle Ages the land that would become Burgdorf was owned by the Kingdom of Burgundy and then after 1080 by the Dukes of Zähringen. Either the kings or the dukes built a castle on the left bank of the Emme river. Burgdorf is first mentioned in 1236 as ''in oppido Burchtorff'', while Burgdorf Castle is mentioned in 1080 as ''castellum Bertoldi ducis''. The Zähringen dukes built a city (upper-west city section) around the castle in the last quarter of the 12th century. After the extinction of Zähringen line, Burgdorf passed to the Counts of Kyburg. They ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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