E pluribus unum From Complexity, Universality

Modern mathematics is a powerful tool to model any number of real-world situations, whether they be natural—the motion of celestial bodies, for example, or the physical and chemical properties of a material—or man-made: for example, the stock market or the voting preferences of an electorate.¹ In pr...

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Published inThe Best Writing on Mathematics 2013 Vol. 4; pp. 32 - 46
Main Author Tao, Terence
Format Book Chapter
LanguageEnglish
Published United States Princeton University Press 19.01.2014
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Abstract Modern mathematics is a powerful tool to model any number of real-world situations, whether they be natural—the motion of celestial bodies, for example, or the physical and chemical properties of a material—or man-made: for example, the stock market or the voting preferences of an electorate.¹ In principle, mathematical models can be used to study even extremely complicated systems with many interacting components. However, in practice, only simple systems (ones that involve only two or three interacting agents) can be solved precisely. For instance, the mathematical derivation of the spectral lines of hydrogen, with its single electron orbiting the
AbstractList Modern mathematics is a powerful tool to model any number of real-world situations, whether they be natural—the motion of celestial bodies, for example, or the physical and chemical properties of a material—or man-made: for example, the stock market or the voting preferences of an electorate.¹ In principle, mathematical models can be used to study even extremely complicated systems with many interacting components. However, in practice, only simple systems (ones that involve only two or three interacting agents) can be solved precisely. For instance, the mathematical derivation of the spectral lines of hydrogen, with its single electron orbiting the
Author Terence Tao
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Copyright 2014 Princeton University Press
2015 Princeton University Press, Princeton
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StartPage 32
SubjectTerms Applied mathematics
Central limit theorem
Concept of being
Counting numbers
Discrete mathematics
Election forecasting
Formal logic
Integers
Lattice theory
Law of large numbers
Line spectra
Logic
Logical topics
Mathematical analysis
Mathematical lattices
Mathematical logic
Mathematical models
Mathematical set theory
MATHEMATICS
Metaphysics
Microphysics
Molecular physics
Molecular properties
Molecular spectra
Number theory
Numbers
Ontological properties
Ontology
Philosophy
Physical sciences
Physics
Political elections
Political processes
Political science
Politics
Polls
Popular science
Prime numbers
Pure mathematics
Rational numbers
Real numbers
Statistical theories
Statistics
Universality
Subtitle From Complexity, Universality
Title E pluribus unum
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