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List Of Important Publications In Mathematics
This is a list of publications in mathematics, organized by field. Some reasons a particular publication might be regarded as important: *Topic creator – A publication that created a new topic *Breakthrough – A publication that changed scientific knowledge significantly *Influence – A publication which has significantly influenced the world or has had a massive impact on the teaching of mathematics. Among published compilations of important publications in mathematics are ''Landmark writings in Western mathematics 1640–1940'' by Ivor Grattan-Guinness and ''A Source Book in Mathematics'' by David Eugene Smith. Algebra Theory of equations '' Baudhayana Sulba Sutra'' * Baudhayana (8th century BCE) With linguistic evidence suggesting this text to have been written between the 8th and 5th centuries century BCE, this is one of the oldest mathematical texts. It laid the foundations of Indian mathematics and was influential in South Asia. It was primarily ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oxyrhynchus Papyrus With Euclid's Elements
Oxyrhynchus ( ; , ; ; ), also known by its modern name Al-Bahnasa (), is a city in Middle Egypt located about 160 km south-southwest of Cairo in Minya Governorate. It is also an important archaeological site. Since the late 19th century, the area around Oxyrhynchus has been excavated almost continually, yielding an enormous collection of papyrus texts dating from the Ptolemaic Kingdom and Egypt (Roman province), Roman Egypt. They also include a few vellum manuscripts, and more recent Arabic language, Arabic manuscripts on paper (for example, the medieval P. Oxy. VI 1006). History Ancient Egyptian era Oxyrhynchus lies west of the main course of the Nile on the Bahr Yussef, a branch that terminates in Lake Moeris and the Faiyum oasis. In ancient Egyptian times, there was a city on the site called Pr (hieroglyph), Per-Medjed, named after the medjed (fish), medjed, a species of Mormyridae, elephantfish of the Nile worshipped there as the fish that ate the penis of Osiris. I ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chinese Remainder Theorem
In mathematics, the Chinese remainder theorem states that if one knows the remainders of the Euclidean division of an integer ''n'' by several integers, then one can determine uniquely the remainder of the division of ''n'' by the product of these integers, under the condition that the divisors are pairwise coprime (no two divisors share a common factor other than 1). The theorem is sometimes called Sunzi's theorem. Both names of the theorem refer to its earliest known statement that appeared in '' Sunzi Suanjing'', a Chinese manuscript written during the 3rd to 5th century CE. This first statement was restricted to the following example: If one knows that the remainder of ''n'' divided by 3 is 2, the remainder of ''n'' divided by 5 is 3, and the remainder of ''n'' divided by 7 is 2, then with no other information, one can determine the remainder of ''n'' divided by 105 (the product of 3, 5, and 7) without knowing the value of ''n''. In this example, the remainder is 23. More ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Persian People
Persians ( ), or the Persian people (), are an Iranian peoples, Iranian ethnic group from West Asia that came from an earlier group called the Proto-Iranians, which likely split from the Indo-Iranians in 1800 BCE from either Afghanistan or Central Asia. They are indigenous to the Iranian plateau and comprise the majority of the population of Iran.Iran Census Results 2016 United Nations Alongside having a Culture of Iran, common cultural system, they are native speakers of the Persian language and of the Western Iranian languages that are closely related to it. In the Western world, "Persian" was largely understood as a demonym for all Iranians rather than as an ethnonym for the Persian people, but this understanding Name of Iran, shi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quadratic Equation
In mathematics, a quadratic equation () is an equation that can be rearranged in standard form as ax^2 + bx + c = 0\,, where the variable (mathematics), variable represents an unknown number, and , , and represent known numbers, where . (If and then the equation is linear equation, linear, not quadratic.) The numbers , , and are the ''coefficients'' of the equation and may be distinguished by respectively calling them, the ''quadratic coefficient'', the ''linear coefficient'' and the ''constant coefficient'' or ''free term''. The values of that satisfy the equation are called ''solution (mathematics), solutions'' of the equation, and ''zero of a function, roots'' or ''zero of a function, zeros'' of the quadratic function on its left-hand side. A quadratic equation has at most two solutions. If there is only one solution, one says that it is a double root. If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two comple ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Equation
In mathematics, a linear equation is an equation that may be put in the form a_1x_1+\ldots+a_nx_n+b=0, where x_1,\ldots,x_n are the variables (or unknowns), and b,a_1,\ldots,a_n are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful equation, the coefficients a_1, \ldots, a_n are required to not all be zero. Alternatively, a linear equation can be obtained by equating to zero a linear polynomial over some field, from which the coefficients are taken. The solutions of such an equation are the values that, when substituted for the unknowns, make the equality true. In the case of just one variable, there is exactly one solution (provided that a_1\ne 0). Often, the term ''linear equation'' refers implicitly to this particular case, in which the variable is sensibly called the ''unknown''. In the case of two ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebra
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication. Elementary algebra is the main form of algebra taught in schools. It examines mathematical statements using variables for unspecified values and seeks to determine for which values the statements are true. To do so, it uses different methods of transforming equations to isolate variables. Linear algebra is a closely related field that investigates linear equations and combinations of them called '' systems of linear equations''. It provides methods to find the values that solve all equations in the system at the same time, and to study the set of these solutions. Abstract algebra studies algebraic structures, which consist of a set of mathemati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Muhammad Ibn Mūsā Al-Khwārizmī
Muhammad (8 June 632 CE) was an Arab religious and political leader and the founder of Islam. According to Islam, he was a prophet who was divinely inspired to preach and confirm the monotheistic teachings of Adam, Noah, Abraham, Moses, Jesus, and other prophets. He is believed to be the Seal of the Prophets in Islam, and along with the Quran, his teachings and normative examples form the basis for Islamic religious belief. Muhammad was born in Mecca to the aristocratic Banu Hashim clan of the Quraysh. He was the son of Abdullah ibn Abd al-Muttalib and Amina bint Wahb. His father, Abdullah, the son of tribal leader Abd al-Muttalib ibn Hashim, died around the time Muhammad was born. His mother Amina died when he was six, leaving Muhammad an orphan. He was raised under the care of his grandfather, Abd al-Muttalib, and paternal uncle, Abu Talib. In later years, he would periodically seclude himself in a mountain cave named Hira for several nights of prayer. When ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Compendious Book On Calculation By Completion And Balancing
''The Concise Book of Calculation by Restoration and Balancing'' (, ;} or ), commonly abbreviated ''Al-Jabr'' or ''Algebra'' (Arabic: ), is an Arabic mathematics, Arabic mathematical treatise on algebra written in Baghdad around 820 by the Persian polymath Al-Khwarizmi. It was a landmark work in the history of mathematics, with its title being the ultimate etymology of the word "algebra" itself, later borrowed into Medieval Latin as . ''Al-Jabr'' provided an exhaustive account of solving for the positive root of a function, roots of polynomial equations up to the second degree. It was the first text to teach elementary algebra, and the first to teach algebra for its own sake. It also introduced the fundamental concept of "reduction" and "balancing" (which the term ''al-jabr'' originally referred to), the transposition of subtracted terms to the other side of an equation, i.e. the cancellation of like terms on opposite sides of the equation. The mathematics historian Victor J. Ka ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe became the first president while Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance over concerns about competing with the '' American Journal of Mathematics''. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influentia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brahmagupta
Brahmagupta ( – ) was an Indian Indian mathematics, mathematician and Indian astronomy, astronomer. He is the author of two early works on mathematics and astronomy: the ''Brāhmasphuṭasiddhānta'' (BSS, "correctly established Siddhanta, doctrine of Brahma", dated 628), a theoretical treatise, and the ''Khandakhadyaka'' ("edible bite", dated 665), a more practical text. In 628 CE, Brahmagupta first described gravity as an attractive force, and used the term "gurutvākarṣaṇam (गुरुत्वाकर्षणम्)" in Sanskrit to describe it. He is also credited with the first clear description of the quadratic formula (the solution of the quadratic equation)Bradley, Michael. ''The Birth of Mathematics: Ancient Times to 1300'', p. 86 (Infobase Publishing 2006) in his main work, the ''Brāhma-sphuṭa-siddhānta''. Life and career Brahmagupta, according to his own statement, was born in 598 CE. Born in ''Bhillamāla'' in Gurjaradesa (modern Bhinmal in Rajasthan, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brāhmasphuṭasiddhānta
The ''Brāhma-sphuṭa-siddhānta'' ("Correctly Established Doctrine of Brahma", abbreviated BSS) is a main work of Brahmagupta, written c. 628. This text of mathematical astronomy contains significant mathematical content, including the first good understanding of the role of zero, rules for manipulating both negative and positive numbers, a method for computing square roots, methods of solving linear and quadratic equations, and rules for summing series, Brahmagupta's identity, and Brahmagupta theorem. The book was written completely in verse and does not contain any kind of mathematical notation. Nevertheless, it contained the first clear description of the quadratic formula (the solution of the quadratic equation).Bradley, Michael. ''The Birth of Mathematics: Ancient Times to 1300'', p. 86 (Infobase Publishing 2006). Positive and negative numbers ''Brāhmasphuṭasiddhānta'' is one of the first books to provide concrete ideas on positive numbers, negative numbers, and zer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jigu Suanjing
''Jigu suanjing'' ( zh, 緝古算經, ''Continuation of Ancient Mathematics'') was the work of early Tang dynasty calendarist and mathematician Wang Xiaotong, written some time before the year 626, when he presented his work to the Emperor. ''Jigu Suanjing'' was included as one of the requisite texts for Imperial examination; the amount of time required for the study of ''Jigu Suanjing'' was three years, the same as for ''The Nine Chapters on the Mathematical Art'' and '' Haidao Suanjing''. The book began with presentations to the Emperor, followed by a pursuit problem similar to the one in Jiu Zhang Suan shu, followed by thirteen three-dimensional geometry problems based mostly on engineering construction of astronomic observation tower, dike, barn, excavation of a canal bed etc., and six problems in right angled triangle plane geometry. Apart from the first problem which was solved by arithmetic, the problems deal with the solution of cubic equations, the first known Chinese wo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
