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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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Matching Mathematics Colleges

Scholarships for Mathematics Majors

name award deadline

SMART Scholarship

Department of Defense

Up to $38,000 December 03, 2019 See Details

SMART Scholarship

Department of Defense

award

Up to $38,000

deadline

December 03, 2019
See Details

Keynote Scholarship

National Space Club

$10,000 December 02, 2019 See Details

Keynote Scholarship

National Space Club

award

$10,000

deadline

December 02, 2019
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Edison Scholars Program

Edison International

$10,000 December 16, 2020 See Details

Edison Scholars Program

Edison International

award

$10,000

deadline

December 16, 2020
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Austin E. Knowlton Scholarship

Denison University

Up to $5,000 Varies See Details

Austin E. Knowlton Scholarship

Denison University

award

Up to $5,000

deadline

Varies
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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

award

$3,000

deadline

Varies
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Hans P. Loewen Scholarship

American Nuclear Society

$2,000 February 01, 2020 See Details

Hans P. Loewen Scholarship

American Nuclear Society

award

$2,000

deadline

February 01, 2020
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G. Doyle and Pamela Gannarelli Daves Scholarship

New Mexico Highlands University

$1,465 February 15, 2020 See Details

G. Doyle and Pamela Gannarelli Daves Scholarship

New Mexico Highlands University

award

$1,465

deadline

February 15, 2020
See Details

General Motors Endowed Scholarship

New Mexico Highlands University

$1,232 February 15, 2020 See Details

General Motors Endowed Scholarship

New Mexico Highlands University

award

$1,232

deadline

February 15, 2020
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Lillian D. and Alan R. Stephens Scholarship

New Mexico Highlands University

$1,177 February 15, 2020 See Details

Lillian D. and Alan R. Stephens Scholarship

New Mexico Highlands University

award

$1,177

deadline

February 15, 2020
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Influenster Women in STEM Scholarship

Influenster

$1,000 November 22, 2019 See Details

Influenster Women in STEM Scholarship

Influenster

award

$1,000

deadline

November 22, 2019
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