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Johann Faulhaber
Johann Faulhaber (5 May 1580 – 10 September 1635) was a German mathematician. Born in Ulm, Faulhaber was a trained weaver who later took the role of a surveyor of the city of Ulm. He collaborated with Johannes Kepler and Ludolph van Ceulen. Besides his work on the fortifications of cities (notably Basel and Frankfurt), Faulhaber built water wheels in his home town and geometrical instruments for the military. Faulhaber made the first publication of Henry Briggs's Logarithm in Germany. He is also credited with the first printed solution of equal temperament.Date,name,ratio,cents: from equal temperament monochord tables p55-p78; J. Murray Barbour ''Tuning and Temperament'', Michigan State University Press 1951 He died in Ulm. Faulhaber's major contribution was in calculating the sums of powers of integers. Jacob Bernoulli makes references to Faulhaber in his ''Ars Conjectandi''. Works * See also * Faulhaber's formula In mathematics, Faulhaber's formula, named after the e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacob Bernoulli
Jacob Bernoulli (also known as James or Jacques; – 16 August 1705) was one of the many prominent mathematicians in the Bernoulli family. He was an early proponent of Leibnizian calculus and sided with Gottfried Wilhelm Leibniz during the Leibniz–Newton calculus controversy. He is known for his numerous contributions to calculus, and along with his brother Johann, was one of the founders of the calculus of variations. He also discovered the fundamental mathematical constant . However, his most important contribution was in the field of probability, where he derived the first version of the law of large numbers in his work '' Ars Conjectandi''.Jacob (Jacques) Bernoulli [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rosicrucians
Rosicrucianism is a spiritual and cultural movement that arose in Europe in the early 17th century after the publication of several texts purported to announce the existence of a hitherto unknown esoteric order to the world and made seeking its knowledge attractive to many. Yates, Frances A. (1972), ''The Rosicrucian Enlightenment'', London The mysterious doctrine of the order is "built on esoteric truths of the ancient past", which "concealed from the average man, provide insight into nature, the physical universe, and the spiritual realm." The manifestos do not elaborate extensively on the matter, but clearly combine references to Kabbalah, Hermeticism, alchemy, and Christian mysticism. The Rosicrucian manifestos heralded a "universal reformation of mankind", through a science allegedly kept secret for decades until the intellectual climate might receive it. Controversies arose on whether they were a hoax, whether the "Order of the Rosy Cross" existed as described in the manif ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
17th-century German Mathematicians
The 17th century lasted from January 1, 1601 ( MDCI), to December 31, 1700 ( MDCC). It falls into the early modern period of Europe and in that continent (whose impact on the world was increasing) was characterized by the Baroque cultural movement, the latter part of the Spanish Golden Age, the Dutch Golden Age, the French ''Grand Siècle'' dominated by Louis XIV, the Scientific Revolution, the world's first public company and megacorporation known as the Dutch East India Company, and according to some historians, the General Crisis. From the mid-17th century, European politics were increasingly dominated by the Kingdom of France of Louis XIV, where royal power was solidified domestically in the civil war of the Fronde. The semi-feudal territorial French nobility was weakened and subjugated to the power of an absolute monarchy through the reinvention of the Palace of Versailles from a hunting lodge to a gilded prison, in which a greatly expanded royal court could be more easil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
16th-century German Mathematicians
The 16th century begins with the Julian year 1501 ( MDI) and ends with either the Julian or the Gregorian year 1600 ( MDC) (depending on the reckoning used; the Gregorian calendar introduced a lapse of 10 days in October 1582). The 16th century is regarded by historians as the century which saw the rise of Western civilization and the Islamic gunpowder empires. The Renaissance in Italy and Europe saw the emergence of important artists, authors and scientists, and led to the foundation of important subjects which include accounting and political science. Copernicus proposed the heliocentric universe, which was met with strong resistance, and Tycho Brahe refuted the theory of celestial spheres through observational measurement of the 1572 appearance of a Milky Way supernova. These events directly challenged the long-held notion of an immutable universe supported by Ptolemy and Aristotle, and led to major revolutions in astronomy and science. Galileo Galilei became a champion ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1635 Deaths
Events January–March * January 23 – 1635 Capture of Tortuga: The Spanish Navy captures the Caribbean island of Tortuga off of the coast of Haiti after a three-day battle against the English and French Navy. * January 25 – King Thalun moves the capital of Burma from Pegu to Ava. * February 22 – The ''Académie française'' in Paris is formally constituted, as the national academy for the preservation of the French language. * March 22 – The Peacock Throne of India's Mughal Empire is inaugurated in a ceremony in Delhi to support the seventh anniversary of Shah Jahan's accession to the throne as Emperor. * March 26 – Philipp Christoph von Sötern, the Archbishop-Elector of Trier, is taken prisoner in a surprise attack by Spanish Habsburg troops, leading to a declaration of war against Spain by France and the beginning of the Franco-Spanish War. April–June * April 13 – Druze warlord Fakhr-al-Din II is executed in Cons ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1580 Births
Year 158 ( CLVIII) was a common year starting on Saturday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Tertullus and Sacerdos (or, less frequently, year 911 ''Ab urbe condita''). The denomination 158 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * The earliest dated use of Sol Invictus, in a dedication from Rome. * A revolt against Roman rule in Dacia is crushed. China * Change of era name from ''Yongshou'' to ''Yangxi'' of the Chinese Han Dynasty. Births *Gaius Caesonius Macer Rufinianus, Roman politician (d. 237) Deaths * Wang Yi, Chinese librarian and poet (d. AD 89 AD 89 (LXXXIX) was a common year starting on Thursday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Fulvus and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
VD17
The Verzeichnis der im deutschen Sprachraum erschienenen Drucke des 17. Jahrhunderts (in English: ''Bibliography of Books Printed in the German Speaking Countries from 1601 to 1700''), abbreviated VD17, is a project to make a retrospective German national bibliography for the 17th century. The project was initiated in 1996 and planned to continue for 10–12 years. It is financed by the Deutsche Forschungsgemeinschaft (German Research Foundation). As of early 2007, the database contains more than 250,000 titles. There is a corresponding German national bibliography for the 16th century, known as VD 16, which was compiled during the period 1969-1999, and another for the 18th century is planned. See also * Books in Germany As of 2018, ten firms in Germany rank among the world's biggest publishers of books in terms of revenue: C.H. Beck, Bertelsmann, , , Holtzbrinck Publishing Group, , Springer Nature, Thieme, , and Westermann Druck- und Verlagsgruppe. Overall, "G ... External ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Faulhaber's Formula
In mathematics, Faulhaber's formula, named after the early 17th century mathematician Johann Faulhaber, expresses the sum of the ''p''-th powers of the first ''n'' positive integers :\sum_^n k^p = 1^p + 2^p + 3^p + \cdots + n^p as a (''p'' + 1)th-degree polynomial function of ''n'', the coefficients involving Bernoulli numbers ''Bj'', in the form submitted by Jacob Bernoulli and published in 1713: : \sum_^n k^ = \frac+\fracn^p+\sum_^p \fracp^\underlinen^, where p^\underline=(p)_=\dfrac is a falling factorial. History Faulhaber's formula is also called Bernoulli's formula. Faulhaber did not know the properties of the coefficients later discovered by Bernoulli. Rather, he knew at least the first 17 cases, as well as the existence of the Faulhaber polynomials for odd powers described below. The arxiv.org paper has a misprint in the formula for the sum of 11th powers, which was corrected in the printed versionCorrect version./ref> A rigorous proof of these fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sums Of Powers
In mathematics and statistics, sums of powers occur in a number of contexts: * Sums of squares arise in many contexts. For example, in geometry, the Pythagorean theorem involves the sum of two squares; in number theory, there are Legendre's three-square theorem and Jacobi's four-square theorem; and in statistics, the analysis of variance involves summing the squares of quantities. *Faulhaber's formula expresses 1^k + 2^k + 3^k + \cdots + n^k as a polynomial in ''n'', or alternatively in term of a Bernoulli polynomial. *Fermat's right triangle theorem states that there is no solution in positive integers for a^2=b^4+c^4 and a^4=b^4+c^2. *Fermat's Last Theorem states that x^k+y^k=z^k is impossible in positive integers with ''k''>2. *The equation of a superellipse is , x/a, ^k+, y/b, ^k=1. The squircle is the case k=4, a=b. *Euler's sum of powers conjecture (disproved) concerns situations in which the sum of ''n'' integers, each a ''k''th power of an integer, equals another ''k'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
