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Nikolai Lobachevsky, the Glossary

Index Nikolai Lobachevsky

Nikolai Ivanovich Lobachevsky (a; –) was a Russian mathematician and geometer, known primarily for his work on hyperbolic geometry, otherwise known as Lobachevskian geometry, and also for his fundamental study on Dirichlet integrals, known as the Lobachevsky integral formula.[1]

Table of Contents

  1. 83 relations: Algebraic equation, Andreas Vesalius, Angle of parallelism, Approximation, Arskoe Cemetery, Atheism, Axiom, Łada coat of arms, Carl Friedrich Gauss, Christine Baranski, Clausen function, David Eugene Smith, Dictionary of Scientific Biography, Differential geometry, Dirichlet integral, Doorways in the Sand, Eric Temple Bell, Euclid, Fantasy, Function (mathematics), G. B. Halsted, Galen, Geometry, God Created the Integers, Graeffe's method, Heinrich Liebmann, Hyperbolic geometry, Hyperbolic triangle, Hyperboloid structure, Jastrzębiec coat of arms, János Bolyai, Johann Christian Martin Bartels, John Playfair, Kazan, Kazan Federal University, Kazan Governorate, Kazan Gymnasium, List of geometers, List of mathematics awards, Lobachevskiy (crater), Lobachevsky (song), Lobachevsky integral formula, Lobachevsky Prize, Makaryevsky Uyezd (Kostroma Governorate), Makaryevsky Uyezd (Nizhny Novgorod Governorate), Master of Science, Mathematical Association of America, Men of Mathematics, N. I. Lobachevsky State University of Nizhny Novgorod, Nicolaus Copernicus, ... Expand index (33 more) »

  2. 19th-century mathematicians from the Russian Empire
  3. Academic staff of Kazan Federal University
  4. Burials at Arskoe Cemetery
  5. Hyperbolic geometers
  6. Mathematicians from Kazan

Algebraic equation

In mathematics, an algebraic equation or polynomial equation is an equation of the form P.

See Nikolai Lobachevsky and Algebraic equation

Andreas Vesalius

Andries van Wezel (31 December 1514 – 15 October 1564), latinised as Andreas Vesalius, was an anatomist and physician who wrote De Humani Corporis Fabrica Libri Septem (On the fabric of the human body in seven books), what is considered to be one of the most influential books on human anatomy and a major advance over the long-dominant work of Galen.

See Nikolai Lobachevsky and Andreas Vesalius

Angle of parallelism

In hyperbolic geometry, angle of parallelism \Pi(a) is the angle at the non-right angle vertex of a right hyperbolic triangle having two asymptotic parallel sides.

See Nikolai Lobachevsky and Angle of parallelism

Approximation

An approximation is anything that is intentionally similar but not exactly equal to something else.

See Nikolai Lobachevsky and Approximation

Arskoe Cemetery

Arskoe Cemetery is the central necropolis in Kazan, and is located in the city's Vakhitovsky City District, to the northeast of Kazan's centre in Tatarstan, Russia. Nikolai Lobachevsky and Arskoe Cemetery are Burials at Arskoe Cemetery.

See Nikolai Lobachevsky and Arskoe Cemetery

Atheism

Atheism, in the broadest sense, is an absence of belief in the existence of deities.

See Nikolai Lobachevsky and Atheism

Axiom

An axiom, postulate, or assumption is a statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.

See Nikolai Lobachevsky and Axiom

Łada coat of arms

Łada (Łady, Ładzic, Mancz) is a Polish szlachta coat of arms originating from Mazovia.

See Nikolai Lobachevsky and Łada coat of arms

Carl Friedrich Gauss

Johann Carl Friedrich Gauss (Gauß; Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician, astronomer, geodesist, and physicist who contributed to many fields in mathematics and science.

See Nikolai Lobachevsky and Carl Friedrich Gauss

Christine Baranski

Christine Jane Baranski (born May 2, 1952) is an American actress.

See Nikolai Lobachevsky and Christine Baranski

Clausen function

In mathematics, the Clausen function, introduced by, is a transcendental, special function of a single variable.

See Nikolai Lobachevsky and Clausen function

David Eugene Smith

David Eugene Smith (January 21, 1860 – July 29, 1944) was an American mathematician, educator, and editor.

See Nikolai Lobachevsky and David Eugene Smith

Dictionary of Scientific Biography

The Dictionary of Scientific Biography is a scholarly reference work that was published from 1970 through 1980 by publisher Charles Scribner's Sons, with main editor the science historian Charles Gillispie, from Princeton University.

See Nikolai Lobachevsky and Dictionary of Scientific Biography

Differential geometry

Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds.

See Nikolai Lobachevsky and Differential geometry

Dirichlet integral

In mathematics, there are several integrals known as the Dirichlet integral, after the German mathematician Peter Gustav Lejeune Dirichlet, one of which is the improper integral of the sinc function over the positive real line: \int_0^\infty \frac \,dx.

See Nikolai Lobachevsky and Dirichlet integral

Doorways in the Sand

Doorways in the Sand is a science fiction novel by American writer Roger Zelazny.

See Nikolai Lobachevsky and Doorways in the Sand

Eric Temple Bell

Eric Temple Bell (7 February 1883 – 21 December 1960) was a Scottish-born mathematician and science fiction writer who lived in the United States for most of his life.

See Nikolai Lobachevsky and Eric Temple Bell

Euclid

Euclid (Εὐκλείδης; BC) was an ancient Greek mathematician active as a geometer and logician.

See Nikolai Lobachevsky and Euclid

Fantasy

Fantasy is a genre of fiction involving magical elements, as well as a work in this genre.

See Nikolai Lobachevsky and Fantasy

Function (mathematics)

In mathematics, a function from a set to a set assigns to each element of exactly one element of.

See Nikolai Lobachevsky and Function (mathematics)

G. B. Halsted

George Bruce Halsted (November 25, 1853 – March 16, 1922), usually cited as G. B. Halsted, was an American mathematician who explored foundations of geometry and introduced non-Euclidean geometry into the United States through his translations of works by Bolyai, Lobachevski, Saccheri, and Poincaré.

See Nikolai Lobachevsky and G. B. Halsted

Galen

Aelius Galenus or Claudius Galenus (Κλαύδιος Γαληνός; September 129 – 216 AD), often anglicized as Galen or Galen of Pergamon, was a Roman and Greek physician, surgeon, and philosopher.

See Nikolai Lobachevsky and Galen

Geometry

Geometry is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures.

See Nikolai Lobachevsky and Geometry

God Created the Integers

God Created the Integers: The Mathematical Breakthroughs That Changed History is a 2005 anthology, edited by Stephen Hawking, of "excerpts from thirty-one of the most important works in the history of mathematics." The title of the book is a reference to a quotation attributed to mathematician Leopold Kronecker, who once wrote that "God made the integers; all else is the work of man.".

See Nikolai Lobachevsky and God Created the Integers

Graeffe's method

In mathematics, Graeffe's method or Dandelin–Lobachesky–Graeffe method is an algorithm for finding all of the roots of a polynomial.

See Nikolai Lobachevsky and Graeffe's method

Heinrich Liebmann

Karl Otto Heinrich Liebmann (* 22. October 1874 in Strasbourg; † 12. June 1939 in Munich-Solln) was a German mathematician and geometer.

See Nikolai Lobachevsky and Heinrich Liebmann

Hyperbolic geometry

In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai–Lobachevskian geometry) is a non-Euclidean geometry.

See Nikolai Lobachevsky and Hyperbolic geometry

Hyperbolic triangle

In hyperbolic geometry, a hyperbolic triangle is a triangle in the hyperbolic plane.

See Nikolai Lobachevsky and Hyperbolic triangle

Hyperboloid structure

Hyperboloid structures are architectural structures designed using a hyperboloid in one sheet.

See Nikolai Lobachevsky and Hyperboloid structure

Jastrzębiec coat of arms

Jastrzębiec is one of the most ancient Polish coat of arms.

See Nikolai Lobachevsky and Jastrzębiec coat of arms

János Bolyai

János Bolyai (15 December 1802 – 27 January 1860) or Johann Bolyai, was a Hungarian mathematician who developed absolute geometry—a geometry that includes both Euclidean geometry and hyperbolic geometry. Nikolai Lobachevsky and János Bolyai are hyperbolic geometers.

See Nikolai Lobachevsky and János Bolyai

Johann Christian Martin Bartels

Johann Christian Martin Bartels (12 August 1769 –) was a German mathematician.

See Nikolai Lobachevsky and Johann Christian Martin Bartels

John Playfair

John Playfair FRSE, FRS (10 March 1748 – 20 July 1819) was a Church of Scotland minister, remembered as a scientist and mathematician, and a professor of natural philosophy at the University of Edinburgh.

See Nikolai Lobachevsky and John Playfair

Kazan

Kazan is the largest city and capital of Tatarstan, Russia.

See Nikolai Lobachevsky and Kazan

Kazan Federal University

Kazan (Volga region) Federal University (Казанский (Приволжский) федеральный университет, Казан (Идел буе) федераль университеты) is a public research university located in Kazan, Russia.

See Nikolai Lobachevsky and Kazan Federal University

Kazan Governorate

Kazan Governorate was an administrative-territorial unit (guberniya) of the Tsardom of Russia, the Russian Empire, and the Russian SFSR from 1708 to 1920, with its capital in Kazan.

See Nikolai Lobachevsky and Kazan Governorate

Kazan Gymnasium

Kazan Gymnasium was a gymnasium of Kazan, Tatarstan, Russia.

See Nikolai Lobachevsky and Kazan Gymnasium

List of geometers

A geometer is a mathematician whose area of study is geometry.

See Nikolai Lobachevsky and List of geometers

List of mathematics awards

This list of mathematics awards contains articles about notable awards for mathematics.

See Nikolai Lobachevsky and List of mathematics awards

Lobachevskiy (crater)

Lobachevskiy is a lunar impact crater that is located on the far side of the Moon, beyond the eastern limb.

See Nikolai Lobachevsky and Lobachevskiy (crater)

Lobachevsky (song)

"Lobachevsky" is a humorous song by Tom Lehrer, referring to the mathematician Nikolai Ivanovich Lobachevsky.

See Nikolai Lobachevsky and Lobachevsky (song)

Lobachevsky integral formula

In mathematics, Dirichlet integrals play an important role in distribution theory.

See Nikolai Lobachevsky and Lobachevsky integral formula

Lobachevsky Prize

The Lobachevsky Prize, awarded by the Russian Academy of Sciences, and the Lobachevsky Medal, awarded by the Kazan State University, are mathematical awards in honor of Nikolai Ivanovich Lobachevsky.

See Nikolai Lobachevsky and Lobachevsky Prize

Makaryevsky Uyezd (Kostroma Governorate)

Makaryevsky Uyezd (Макарьевский уезд) was one of the subdivisions of the Kostroma Governorate of the Russian Empire.

See Nikolai Lobachevsky and Makaryevsky Uyezd (Kostroma Governorate)

Makaryevsky Uyezd (Nizhny Novgorod Governorate)

Makaryevsky Uyezd (Макарьевский уезд) was one of the subdivisions of the Nizhny Novgorod Governorate of the Russian Empire.

See Nikolai Lobachevsky and Makaryevsky Uyezd (Nizhny Novgorod Governorate)

Master of Science

A Master of Science (Magister Scientiae; abbreviated MS, M.S., MSc, M.Sc., SM, S.M., ScM or Sc.M.) is a master's degree.

See Nikolai Lobachevsky and Master of Science

Mathematical Association of America

The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.

See Nikolai Lobachevsky and Mathematical Association of America

Men of Mathematics

Men of Mathematics: The Lives and Achievements of the Great Mathematicians from Zeno to Poincaré is a book on the history of mathematics published in 1937 by Scottish-born American mathematician and science fiction writer E. T. Bell (1883–1960).

See Nikolai Lobachevsky and Men of Mathematics

N. I. Lobachevsky State University of Nizhny Novgorod

The National Research State University of Nizhny Novgorod named after N.I. Lobachevsky, UNN (Russian: Нижегородский национа́льный иссле́довательский госуда́рственный университе́т имени Н.И. Лобачевского), also known as Lobachevsky University, is a public research university in Nizhny Novgorod, Russia, and one of the biggest classical universities of the country.

See Nikolai Lobachevsky and N. I. Lobachevsky State University of Nizhny Novgorod

Nicolaus Copernicus

Nicolaus Copernicus (19 February 1473 – 24 May 1543) was a Renaissance polymath, active as a mathematician, astronomer, and Catholic canon, who formulated a model of the universe that placed the Sun rather than Earth at its center.

See Nikolai Lobachevsky and Nicolaus Copernicus

Nikolai Brashman

Nikolai Dmitrievich Brashman (Николáй Дми́триевич Брáшман; Nikolaus Braschmann; June 14, 1796 &ndash) was a Russian mathematician of Jewish-Austrian origin. Nikolai Lobachevsky and Nikolai Brashman are 19th-century mathematicians from the Russian Empire.

See Nikolai Lobachevsky and Nikolai Brashman

Nikolai Lobachevsky

Nikolai Ivanovich Lobachevsky (a; –) was a Russian mathematician and geometer, known primarily for his work on hyperbolic geometry, otherwise known as Lobachevskian geometry, and also for his fundamental study on Dirichlet integrals, known as the Lobachevsky integral formula. Nikolai Lobachevsky and Nikolai Lobachevsky are 1792 births, 1856 deaths, 19th-century mathematicians from the Russian Empire, academic staff of Kazan Federal University, Burials at Arskoe Cemetery, hyperbolic geometers, mathematicians from Kazan, Russian atheists and Russian people of Polish descent.

See Nikolai Lobachevsky and Nikolai Lobachevsky

Nizhny Novgorod

Nizhny Novgorod is the administrative centre of Nizhny Novgorod Oblast and the Volga Federal District in Russia.

See Nikolai Lobachevsky and Nizhny Novgorod

Nizhny Novgorod Governorate

Nizhny Novgorod Governorate was an administrative-territorial unit (guberniya) of the Russian Empire, Russian Republic, and the Russian SFSR, roughly corresponding to the Upper and Middle Volga region and what is now most of the Nizhny Novgorod Oblast.

See Nikolai Lobachevsky and Nizhny Novgorod Governorate

Nizhny Novgorod Oblast

Nizhny Novgorod Oblast (Nizhegorodskaya oblast') is a federal subject of Russia (an oblast).

See Nikolai Lobachevsky and Nizhny Novgorod Oblast

Non-Euclidean geometry

In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry.

See Nikolai Lobachevsky and Non-Euclidean geometry

Old Style and New Style dates

Old Style (O.S.) and New Style (N.S.) indicate dating systems before and after a calendar change, respectively.

See Nikolai Lobachevsky and Old Style and New Style dates

Operation Chaos (novel)

Operation Chaos is a 1971 science fantasy fixup novel by American writer Poul Anderson.

See Nikolai Lobachevsky and Operation Chaos (novel)

Parallel postulate

In geometry, the parallel postulate, also called Euclid's fifth postulate because it is the fifth postulate in Euclid's ''Elements'', is a distinctive axiom in Euclidean geometry.

See Nikolai Lobachevsky and Parallel postulate

Peter Gustav Lejeune Dirichlet

Johann Peter Gustav Lejeune Dirichlet (13 February 1805 – 5 May 1859) was a German mathematician.

See Nikolai Lobachevsky and Peter Gustav Lejeune Dirichlet

Physics

Physics is the natural science of matter, involving the study of matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force.

See Nikolai Lobachevsky and Physics

Plagiarism

Plagiarism is the representation of another person's language, thoughts, ideas, or expressions as one's own original work.

See Nikolai Lobachevsky and Plagiarism

Playfair's axiom

In geometry, Playfair's axiom is an axiom that can be used instead of the fifth postulate of Euclid (the parallel postulate): In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point. It is equivalent to Euclid's parallel postulate in the context of Euclidean geometry and was named after the Scottish mathematician John Playfair.

See Nikolai Lobachevsky and Playfair's axiom

Poincaré half-plane model

In non-Euclidean geometry, the Poincaré half-plane model is the upper half-plane, denoted below as H.

See Nikolai Lobachevsky and Poincaré half-plane model

Polish people

Polish people, or Poles, are a West Slavic ethnic group and nation who share a common history, culture, the Polish language and are identified with the country of Poland in Central Europe.

See Nikolai Lobachevsky and Polish people

Poul Anderson

Poul William Anderson (November 25, 1926 – July 31, 2001) was an American fantasy and science fiction author who was active from the 1940s until his death in 2001.

See Nikolai Lobachevsky and Poul Anderson

Professor

Professor (commonly abbreviated as Prof.) is an academic rank at universities and other post-secondary education and research institutions in most countries.

See Nikolai Lobachevsky and Professor

Prosody (linguistics)

In linguistics, prosody is the study of elements of speech that are not individual phonetic segments (vowels and consonants) but which are properties of syllables and larger units of speech, including linguistic functions such as intonation, stress, and rhythm.

See Nikolai Lobachevsky and Prosody (linguistics)

Ptolemy

Claudius Ptolemy (Πτολεμαῖος,; Claudius Ptolemaeus; AD) was an Alexandrian mathematician, astronomer, astrologer, geographer, and music theorist who wrote about a dozen scientific treatises, three of which were important to later Byzantine, Islamic, and Western European science.

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Rector (academia)

A rector (Latin for 'ruler') is a senior official in an educational institution, and can refer to an official in either a university or a secondary school.

See Nikolai Lobachevsky and Rector (academia)

Research

Research is "creative and systematic work undertaken to increase the stock of knowledge".

See Nikolai Lobachevsky and Research

Roger Zelazny

Roger Joseph Zelazny (May 13, 1937 – June 14, 1995) was an American poet and writer of fantasy and science fiction short stories and novels, best known for The Chronicles of Amber.

See Nikolai Lobachevsky and Roger Zelazny

Russia

Russia, or the Russian Federation, is a country spanning Eastern Europe and North Asia.

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Russian Empire

The Russian Empire was a vast empire that spanned most of northern Eurasia from its proclamation in November 1721 until its dissolution in March 1917.

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Songs by Tom Lehrer

Songs by Tom Lehrer is the debut album of musical satirist Tom Lehrer, released in 1953 on his own label, Lehrer Records.

See Nikolai Lobachevsky and Songs by Tom Lehrer

Stephen Hawking

Stephen William Hawking, (8 January 1942 – 14 March 2018) was an English theoretical physicist, cosmologist, and author who was director of research at the Centre for Theoretical Cosmology at the University of Cambridge.

See Nikolai Lobachevsky and Stephen Hawking

Surveying

Surveying or land surveying is the technique, profession, art, and science of determining the terrestrial two-dimensional or three-dimensional positions of points and the distances and angles between them.

See Nikolai Lobachevsky and Surveying

Tatarstan

Tatarstan (Татарстан; Татарстан), officially the Republic of Tatarstan, sometimes also called Tataria, is a republic of Russia located in Eastern Europe.

See Nikolai Lobachevsky and Tatarstan

Tom Lehrer

Thomas Andrew Lehrer (born April 9, 1928) is an American musician, singer-songwriter, satirist, and mathematician, who later taught mathematics and musical theater.

See Nikolai Lobachevsky and Tom Lehrer

William Kingdon Clifford

William Kingdon Clifford (4 May 18453 March 1879) was a British mathematician and philosopher.

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Zero of a function

In mathematics, a zero (also sometimes called a root) of a real-, complex-, or generally vector-valued function f, is a member x of the domain of f such that f(x) vanishes at x; that is, the function f attains the value of 0 at x, or equivalently, x is a solution to the equation f(x).

See Nikolai Lobachevsky and Zero of a function

1858 Lobachevskij

1858 Lobachevskij (''prov. designation'') is a rare-type background asteroid from the central region of the asteroid belt, approximately 13 kilometers in diameter.

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3rd Rock from the Sun

3rd Rock from the Sun is an American television sitcom created by Bonnie and Terry Turner, which originally aired from January 9, 1996, to May 22, 2001, on NBC.

See Nikolai Lobachevsky and 3rd Rock from the Sun

See also

19th-century mathematicians from the Russian Empire

Academic staff of Kazan Federal University

Burials at Arskoe Cemetery

Hyperbolic geometers

Mathematicians from Kazan

References

[1] https://en.wikipedia.org/wiki/Nikolai_Lobachevsky

Also known as Lobachevski, Lobachevsky, Lobachevsky (crater), Lobachevsky, Nikolay Ivanovich, Lobatchewsky, N. I. Lobachevskiĭ, N. I. Lobachevsky, N.I. Lobachevsky, N.I.Lobachevsky, Nicholai Ivanovich Lobachevsky, Nicolai Ivanovich Lobachevsky, Nicolai Lobachevsky, Nicolas Ivanovich Lobaghevskiy, Nicolay Lobachevsky, Nikolai I. Lobachevsky, Nikolai Ivanovich Lobachevski, Nikolai Ivanovich Lobachevsky, Nikolai Lobachevski, Nikolai Lobatchevski, Nikolay Ivanovich Lobachevsky, Nikolay Lobaçevski, Nikolay Lobachevsky.

, Nikolai Brashman, Nikolai Lobachevsky, Nizhny Novgorod, Nizhny Novgorod Governorate, Nizhny Novgorod Oblast, Non-Euclidean geometry, Old Style and New Style dates, Operation Chaos (novel), Parallel postulate, Peter Gustav Lejeune Dirichlet, Physics, Plagiarism, Playfair's axiom, Poincaré half-plane model, Polish people, Poul Anderson, Professor, Prosody (linguistics), Ptolemy, Rector (academia), Research, Roger Zelazny, Russia, Russian Empire, Songs by Tom Lehrer, Stephen Hawking, Surveying, Tatarstan, Tom Lehrer, William Kingdon Clifford, Zero of a function, 1858 Lobachevskij, 3rd Rock from the Sun.