Steven G. Krantz
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Steven G. Krantz
Steven George Krantz (born February 3, 1951) is an American scholar, mathematician, and writer. He has authored more than 350 research papers and published more than 150 books. Additionally, Krantz has edited journals such as the ''Notices of the American Mathematical Society'' and '' The Journal of Geometric Analysis''. Early life and education Steven Krantz grew up in Redwood City, California and graduated from Sequoia High School in class of 1967. Krantz was an undergraduate at the University of California, Santa Cruz (UCSC), graduating with '' summa cum laude'' in 1971. In the math department at UCSC his teachers included Nick Burgoyne, Marvin Greenberg, Ed Landesman, and Stan Philipp. Krantz obtained his Ph.D. in mathematics from Princeton University in 1974 under the direction of Elias M. Stein and Joseph J. Kohn. Other influencers included Fred Almgren, Robert Gunning, and Ed Nelson. Biography Among Krantz's research interests include: several complex variables, h ...
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San Francisco, California
San Francisco (; Spanish for " Saint Francis"), officially the City and County of San Francisco, is the commercial, financial, and cultural center of Northern California. The city proper is the fourth most populous in California and 17th most populous in the United States, with 815,201 residents as of 2021. It covers a land area of , at the end of the San Francisco Peninsula, making it the second most densely populated large U.S. city after New York City, and the fifth most densely populated U.S. county, behind only four of the five New York City boroughs. Among the 91 U.S. cities proper with over 250,000 residents, San Francisco was ranked first by per capita income (at $160,749) and sixth by aggregate income as of 2021. Colloquial nicknames for San Francisco include ''SF'', ''San Fran'', ''The '', ''Frisco'', and ''Baghdad by the Bay''. San Francisco and the surrounding San Francisco Bay Area are a global center of economic activity and the arts and sciences, spurred ...
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Bennett Standeven
Bennett may refer to: People *Bennett (name), including a list of people with the surname and given name Places Canada * Bennett, Alberta *Bennett, British Columbia *Bennett Lake, in the British Columbia and Yukon Territory **Bennett Range **Bennett Lake Volcanic Complex United States *Bennett, Colorado *Bennett, Iowa *Bennett, Missouri *Bennett, North Carolina *Bennett, West Virginia * Bennett, Wisconsin, a town ** Bennett (community), Wisconsin, an unincorporated community *Bennett County, South Dakota * Bennett Mountain, in the Sonoma Mountains, California ** Bennett Valley * Bennett Township (other) Elsewhere *Bennett Island, in the East Siberian Sea * Bennett Islands, Antarctica Education *Bennett College, in Greensboro, North Carolina,U.S. *Bennett College (New York), U.S. * Bennett High School (other) * Bennett Middle School, Salisbury, Maryland, U.S. *Bennett Memorial Diocesan School, Tunbridge Wells, Kent, England * Bennett University, Greater Noida, U ...
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Harmonic Analysis
Harmonic analysis is a branch of mathematics concerned with the representation of Function (mathematics), functions or signals as the Superposition principle, superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis). In the past two centuries, it has become a vast subject with applications in areas as diverse as number theory, representation theory, signal processing, quantum mechanics, tidal analysis and neuroscience. The term "harmonics" originated as the Ancient Greek word ''harmonikos'', meaning "skilled in music". In physical eigenvalue problems, it began to mean waves whose frequencies are Multiple (mathematics), integer multiples of one another, as are the frequencies of the Harmonic series (music), harmonics of music notes, but the term has been generalized beyond its original meaning. The classical Fourier transform on R''n'' is still an area of ongoing research, ...
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Complex Analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics. By extension, use of complex analysis also has applications in engineering fields such as nuclear engineering, nuclear, aerospace engineering, aerospace, mechanical engineering, mechanical and electrical engineering. As a differentiable function of a complex variable is equal to its Taylor series (that is, it is Analyticity of holomorphic functions, analytic), complex analysis is particularly concerned with analytic functions of a complex variable (that is, holomorphic functions). History Complex analysis is one of the classical ...
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Chauvenet Prize
The Chauvenet Prize is the highest award for mathematical expository writing. It consists of a prize of $1,000 and a certificate, and is awarded yearly by the Mathematical Association of America in recognition of an outstanding expository article on a mathematical topic. The prize is named in honor of William Chauvenet and was established through a gift from J. L. Coolidge in 1925. The Chauvenet Prize was the first award established by the Mathematical Association of America. A gift from MAA president Walter B. Ford in 1928 allowed the award to be given every 3 years instead of the originally planned 5 years. Winners *1925 G. A. Bliss *1929 T. H. Hildebrandt *1932 G. H. Hardy *1935 Dunham Jackson *1938 G. T. Whyburn *1941 Saunders Mac Lane *1944 R. H. Cameron *1947 Paul Halmos *1950 Mark Kac *1953 E. J. McShane *1956 Richard H. Bruck *1960 Cornelius Lanczos *1963 Philip J. Davis *1964 Leon Henkin *1965 Jack K. Hale & Joseph P. LaSalle *1967 Guido Weiss *1968 Mark ...
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Joseph J
Joseph is a common male given name, derived from the Hebrew Yosef (יוֹסֵף). "Joseph" is used, along with "Josef", mostly in English, French and partially German languages. This spelling is also found as a variant in the languages of the modern-day Nordic countries. In Portuguese and Spanish, the name is "José". In Arabic, including in the Quran, the name is spelled '' Yūsuf''. In Persian, the name is "Yousef". The name has enjoyed significant popularity in its many forms in numerous countries, and ''Joseph'' was one of the two names, along with ''Robert'', to have remained in the top 10 boys' names list in the US from 1925 to 1972. It is especially common in contemporary Israel, as either "Yossi" or "Yossef", and in Italy, where the name "Giuseppe" was the most common male name in the 20th century. In the first century CE, Joseph was the second most popular male name for Palestine Jews. In the Book of Genesis Joseph is Jacob's eleventh son and Rachel's first son, and k ...
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Elias M
Elias is the Greek equivalent of Elijah ( he, אֵלִיָּהוּ‎ ''ʾĒlīyyāhū''; Syriac language, Syriac: ܐܠܝܐ ''Eliyā''; Arabic language, Arabic: الیاس Ilyās, Ilyās/Elyās), a prophet in the Kingdom of Israel (Samaria), Northern Kingdom of Israel in the 9th century BC, mentioned in several holy books. Due to Elias' role in the scriptures and to many later associated traditions, the name is used as a personal name in numerous languages. Variants * Éilias Irish language, Irish * Elia Italian language, Italian, English language, English * Elias Norwegian language, Norwegian * Elías Icelandic language, Icelandic * Éliás Hungarian language, Hungarian * Elías Spanish language, Spanish * Eliáš, Elijáš Czech language, Czech * Elias, Eelis, Eljas Finnish language, Finnish * Elias Danish language, Danish, German language, German, Swedish language, Swedish * Elias Portuguese language, Portuguese * Elias, Iliya () Persian language, Persian * Elias, Elis Swedish l ...
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University Of California At Santa Cruz
The University of California, Santa Cruz (UC Santa Cruz or UCSC) is a public land-grant research university in Santa Cruz, California. It is one of the ten campuses in the University of California system. Located on Monterey Bay, on the edge of the coastal community of Santa Cruz, the campus lies on of rolling, forested hills overlooking the Pacific Ocean. Founded in 1965, UC Santa Cruz began with the intention to showcase progressive, cross-disciplinary undergraduate education, innovative teaching methods and contemporary architecture. The residential college system consists of ten small colleges that were established as a variation of the Oxbridge collegiate university system. Among the Faculty is 1 Nobel Prize Laureate, 1 Breakthrough Prize in Life Sciences recipient, 12 members from the National Academy of Sciences, 28 members of the American Academy of Arts and Sciences, and 40 members of the American Association for the Advancement of Science. Eight UC Santa Cruz alumni ...
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Washington University In St
Washington commonly refers to: * Washington (state), United States * Washington, D.C., the capital of the United States ** A metonym for the federal government of the United States ** Washington metropolitan area, the metropolitan area centered on Washington, D.C. * George Washington George Washington (February 22, 1732, 1799) was an American military officer, statesman, and Founding Father who served as the first president of the United States from 1789 to 1797. Appointed by the Continental Congress as commander of th ... (1732–1799), the first president of the United States Washington may also refer to: Places England * Washington, Tyne and Wear, a town in the City of Sunderland metropolitan borough ** Washington Old Hall, ancestral home of the family of George Washington * Washington, West Sussex, a village and civil parish Greenland * Cape Washington, Greenland * Washington Land Philippines *New Washington, Aklan, a municipality *Washington, a barangay in Catar ...
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Penn State
#Redirect Pennsylvania State University The Pennsylvania State University (Penn State or PSU) is a Public university, public Commonwealth System of Higher Education, state-related Land-grant university, land-grant research university with campuses and facilities throughout Pennsylvan ... Penn State ...
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Princeton University
Princeton University is a private university, private research university in Princeton, New Jersey. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial Colleges, fourth-oldest institution of higher education in the United States and one of the nine colonial colleges chartered before the American Revolution. It is one of the highest-ranked universities in the world. The institution moved to Newark, New Jersey, Newark in 1747, and then to the current site nine years later. It officially became a university in 1896 and was subsequently renamed Princeton University. It is a member of the Ivy League. The university is governed by the Trustees of Princeton University and has an endowment of $37.7 billion, the largest List of colleges and universities in the United States by endowment, endowment per student in the United States. Princeton provides undergraduate education, undergraduate and graduate education, graduate in ...
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UCLA
The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California. UCLA's academic roots were established in 1881 as a teachers college then known as the southern branch of the California State Normal School (now San José State University). This school was absorbed with the official founding of UCLA as the Southern Branch of the University of California in 1919, making it the second-oldest of the 10-campus University of California system (after UC Berkeley). UCLA offers 337 undergraduate and graduate degree programs in a wide range of disciplines, enrolling about 31,600 undergraduate and 14,300 graduate and professional students. UCLA received 174,914 undergraduate applications for Fall 2022, including transfers, making the school the most applied-to university in the United States. The university is organized into the College of Letters and Science and 12 professional schools. Six of the schools offer undergraduate degre ...
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