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Philip J. Davis
Philip J. Davis (January 2, 1923 – March 14, 2018) was an American academic Applied mathematics, applied mathematician. Davis was born in Lawrence, Massachusetts. He was known for his work in numerical analysis and approximation theory, as well as his investigations in the History of mathematics, history and philosophy of mathematics. He earned his degrees in mathematics from Harvard University (SB, 1943; PhD, 1950, advisor Ralph P. Boas, Jr.), and his final position was Professor Emeritus at the Division of Applied Mathematics at Brown University. He served briefly in an aerodynamics research position in the United States Air Force, Air Force in World War II before joining the National Bureau of Standards (now the National Institute of Standards and Technology). He became Chief of Numerical Analysis there and worked on the well-known Abramowitz and Stegun ''Handbook of Mathematical Functions'' before joining Brown in 1963. He was awarded the Chauvenet Prize for mathematical w ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lawrence, Massachusetts
Lawrence is a city located in Essex County, Massachusetts, United States, on the Merrimack River. At the 2020 census, the city had a population of 89,143. Surrounding communities include Methuen to the north, Andover to the southwest, and North Andover to the east. Lawrence and Salem were the county seats of Essex County, until the Commonwealth abolished county government in 1999. Lawrence is part of the Merrimack Valley. Manufacturing products of the city include electronic equipment, textiles, footwear, paper products, computers, and foodstuffs. Lawrence was the residence of poet Robert Frost for his early school years; his essays and poems were first published in the Lawrence High School newspaper. Lawrence is also the Birth Place of singer Robert Goulet who was born Haverhill St. in 1933. History Indigenous history Native Americans lived along the Merrimack River for thousands of years prior to European colonization of the Americas. Evidence of farming at Den Rock ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
World War II
World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposing military alliances: the Allies and the Axis powers. World War II was a total war that directly involved more than 100 million personnel from more than 30 countries. The major participants in the war threw their entire economic, industrial, and scientific capabilities behind the war effort, blurring the distinction between civilian and military resources. Aircraft played a major role in the conflict, enabling the strategic bombing of population centres and deploying the only two nuclear weapons ever used in war. World War II was by far the deadliest conflict in human history; it resulted in 70 to 85 million fatalities, mostly among civilians. Tens of millions died due to genocides (including the Holocaust), starvation, ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Book Award
The National Book Awards are a set of annual U.S. literary awards. At the final National Book Awards Ceremony every November, the National Book Foundation presents the National Book Awards and two lifetime achievement awards to authors. The National Book Awards were established in 1936 by the American Booksellers Association, "Books and Authors", ''The New York Times'', 1936-04-12, page BR12. "Lewis is Scornful of Radio Culture: Nothing Ever Will Replace the Old-Fashioned Book ...", ''The New York Times'', 1936-05-12, page 25. abandoned during World War II, and re-established by three book industry organizations in 1950. Non-U.S. authors and publishers were eligible for the pre-war awards. Now they are presented to U.S. authors for books published in the United States roughly during the award year. The nonprofit National Book Foundation was established in 1988 to administer and enhance the National Book Awards and "move beyond heminto the fields of edu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerical Integration
In analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also sometimes used to describe the numerical solution of differential equations. This article focuses on calculation of definite integrals. The term numerical quadrature (often abbreviated to ''quadrature'') is more or less a synonym for ''numerical integration'', especially as applied to one-dimensional integrals. Some authors refer to numerical integration over more than one dimension as cubature; others take ''quadrature'' to include higher-dimensional integration. The basic problem in numerical integration is to compute an approximate solution to a definite integral :\int_a^b f(x) \, dx to a given degree of accuracy. If is a smooth function integrated over a small number of dimensions, and the domain of integration is bounded, there are many methods for approximating the integral to the desired precision. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philip Rabinowitz (mathematician)
Philip Rabinowitz (August 14, 1926 – July 21, 2006) was an American and Israeli applied mathematician. He was best known for his work in numerical analysis, including his books ''A First Course in Numerical Analysis'' with Anthony Ralston and ''Methods of Numerical Integration'' with Philip J. Davis. He was the author of numerous articles on numerical computation. He earned his Ph.D. in 1951 under Walter Gottschalk at the University of Pennsylvania. He worked for the American National Bureau of Standards and taught at the Weizmann Institute of Science in Israel Israel (; he, יִשְׂרָאֵל, ; ar, إِسْرَائِيل, ), officially the State of Israel ( he, מְדִינַת יִשְׂרָאֵל, label=none, translit=Medīnat Yīsrāʾēl; ), is a country in Western Asia. It is situated .... References External linksPersonal web pageat the Weizmann Institute of Science 20th-century American mathematicians 21st-century American mathematicians 1926 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philosophy Of Mathematics
The philosophy of mathematics is the branch of philosophy that studies the assumptions, foundations, and implications of mathematics. It aims to understand the nature and methods of mathematics, and find out the place of mathematics in people's lives. The logical and structural nature of mathematics itself makes this study both broad and unique among its philosophical counterparts. The philosophy of mathematics has two major themes: mathematical realism and mathematical anti-realism. History The origin of mathematics is subject to arguments and disagreements. Whether the birth of mathematics was a random happening or induced by necessity during the development of other subjects, like physics, is still a matter of prolific debates. Many thinkers have contributed their ideas concerning the nature of mathematics. Today, some philosophers of mathematics aim to give accounts of this form of inquiry and its products as they stand, while others emphasize a role for themselves that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
History Of Mathematics
The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and Assyria, followed closely by Ancient Egypt and the Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the patterns in nature, the field of astronomy and to record time and formulate calendars. The earliest mathematical texts available are from Mesopotamia and Egypt – '' Plimpton 322'' ( Babylonian c. 2000 – 1900 BC), the ''Rhind Mathematical Papyrus'' ( Egyptian c. 1800 BC) and the '' Moscow Mathematical Papyrus'' (Egyptian c. 1890 BC). All of these texts mention the so-called Pythagorean triples, so, by inference, the Pythagorean theorem seems to be the most anci ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Reuben Hersh
Reuben Hersh (December 9, 1927 – January 3, 2020) was an American mathematician and academic, best known for his writings on the nature, practice, and social impact of mathematics. Although he was generally known as Reuben Hersh, late in life he sometimes used the name Reuben Laznovsky in recognition of his father's ancestral family name. His work challenges and complements mainstream philosophy of mathematics. Education After receiving a B.A. in English literature from Harvard University in 1946, Hersh spent a decade writing for ''Scientific American'' and working as a machinist. After losing his right thumb when working with a band saw, he decided to study mathematics at the Courant Institute of Mathematical Sciences. In 1962, he was awarded a Ph.D. in mathematics from New York University; his advisor was Peter Lax, P.D. Lax. He was affiliated with the University of New Mexico since 1964, where he was professor emeritus. Academic career Hersh wrote a number of technical a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Mathematical Experience
''The Mathematical Experience'' (1981) is a book by Philip J. Davis and Reuben Hersh that discusses the practice of modern mathematics from a history of mathematics, historical and philosophy of mathematics, philosophical perspective. The book discusses the psychology of mathematicians, and gives examples of famous proofs and outstanding problems. It goes on to speculate about what a proof really means, in relationship to actual truth. Other topics include mathematics in education and some of the math that occurs in computer science. The first paperback edition won a U.S. National Book Award in Science."National Book Awards – 1983" National Book Foundation. Retrieved 2012-03-07.This was the 1983 List of winners of the National Book Award#Science, award for paperback Sci ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theodorus Of Cyrene
Theodorus of Cyrene ( el, Θεόδωρος ὁ Κυρηναῖος) was an ancient Greek mathematician who lived during the 5th century BC. The only first-hand accounts of him that survive are in three of Plato's dialogues: the '' Theaetetus'', the ''Sophist'', and the ''Statesman''. In the former dialogue, he posits a mathematical theorem now known as the Spiral of Theodorus. Life Little is known as Theodorus' biography beyond what can be inferred from Plato's dialogues. He was born in the northern African colony of Cyrene, and apparently taught both there and in Athens. He complains of old age in the ''Theaetetus'', the dramatic date of 399 BC of which suggests his period of flourishing to have occurred in the mid-5th century. The text also associates him with the sophist Protagoras, with whom he claims to have studied before turning to geometry. A dubious tradition repeated among ancient biographers like Diogenes Laërtius held that Plato later studied with him in Cyrene, Libya ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Association Of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university, college, and high school teachers; graduate and undergraduate students; pure and applied mathematicians; computer scientists; statisticians; and many others in academia, government, business, and industry. The MAA was founded in 1915 and is headquartered at 1529 18th Street, Northwest in the Dupont Circle neighborhood of Washington, D.C. The organization publishes mathematics journals and books, including the '' American Mathematical Monthly'' (established in 1894 by Benjamin Finkel), the most widely read mathematics journal in the world according to records on JSTOR. Mission and Vision The mission of the MAA is to advance the understanding of mathematics and its impact on our world. We envision a society that values the power and beauty of mathematics and fully realizes its potential to promote human flourishing ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gamma Function
In mathematics, the gamma function (represented by , the capital letter gamma from the Greek alphabet) is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except the non-positive integers. For every positive integer , \Gamma(n) = (n-1)!\,. Derived by Daniel Bernoulli, for complex numbers with a positive real part, the gamma function is defined via a convergent improper integral: \Gamma(z) = \int_0^\infty t^ e^\,dt, \ \qquad \Re(z) > 0\,. The gamma function then is defined as the analytic continuation of this integral function to a meromorphic function that is holomorphic in the whole complex plane except zero and the negative integers, where the function has simple poles. The gamma function has no zeroes, so the reciprocal gamma function is an entire function. In fact, the gamma function corresponds to the Mellin transform of the negative exponential function: \Gamma(z) = \mathcal M \ (z ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
