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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") includes the study of such topics as quantity, structure, space, and change.

Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, then mathematical reasoning can provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.

Rigorous arguments first appeared in Greek mathematics, most notably in Euclid's Elements. Since the pioneering work of Giuseppe Peano (1858–1932), David Hilbert (1862–1943), and others on axiomatic systems in the late 19th century, it has become customary to view mathematical research as establishing truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics developed at a relatively slow pace until the Renaissance, when mathematical innovations interacting with new scientific discoveries led to a rapid increase in the rate of mathematical discovery that has continued to the present day.

Mathematics is essential in many fields, including natural science, engineering, medicine, finance and the social sciences. Applied mathematics has led to entirely new mathematical disciplines, such as statistics and game theory. Mathematicians engage in pure mathematics, or mathematics for its own sake, without having any application in mind. Practical applications for what began as pure mathematics are often discovered.

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Austin E. Knowlton Scholarship

Denison University

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Austin E. Knowlton Scholarship

Denison University

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INTEL Science Talent Search Scholarship - SUNY Stony Brook

State University of New York, Stony Brook

$3,000 Varies See Details

INTEL Science Talent Search Scholarship - SUNY Stony Brook

State University of New York, Stony Brook

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$3,000

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Utah Energy Workforce Scholarship Program

Governor's Office of Energy Development

Up to $4,000 May 01, 2019 See Details

Utah Energy Workforce Scholarship Program

Governor's Office of Energy Development

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Up to $4,000

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May 01, 2019
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Asia SiVon Cottom Scholarship

Asia SiVon Cottom Memorial Scholarship Fund

Up to $2,000 May 06, 2019 See Details

Asia SiVon Cottom Scholarship

Asia SiVon Cottom Memorial Scholarship Fund

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Up to $2,000

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Jack R. Sublette Memorial Scholarship

Troy State University, Dothan

Up to $100 Varies See Details

Jack R. Sublette Memorial Scholarship

Troy State University, Dothan

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Coronat Scholars Program

Syracuse University

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Coronat Scholars Program

Syracuse University

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S.J. Scheidegger Burke Endowed Scholarship

New Mexico State University - College of Arts and Sciences

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S.J. Scheidegger Burke Endowed Scholarship

New Mexico State University - College of Arts and Sciences

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Richard and Mitzi Herold Scholarship

University of South Carolina at Aiken, Office of Advancement

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Richard and Mitzi Herold Scholarship

University of South Carolina at Aiken, Office of Advancement

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Ralph W. Dressel Memorial Endowed Scholarship

New Mexico State University - College of Arts and Sciences

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Ralph W. Dressel Memorial Endowed Scholarship

New Mexico State University - College of Arts and Sciences

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John E. and Grace E. and John L. Gill Memorial Scholarship

New Mexico State University - College of Arts and Sciences

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John E. and Grace E. and John L. Gill Memorial Scholarship

New Mexico State University - College of Arts and Sciences

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