One of the great charms of mathematics is uncovering unexpected connections. In Numbers and Figures, Giancarlo Travaglini provides six conversations that do exactly that by talking about several topics in elementary number theory and some of their connections to geometry, calculus, and real-life problems such as COVID-19 vaccines or fiscal frauds. Each conversation is in two parts--an introductory essay which provides a gentle introduction to the topic and a second section that delves deeper and requires study by the reader. The topics themselves are extremely appealing and include, for example, Pick's theorem, Simpson's paradox, Farey sequences, the Frobenius problem, and Benford's Law.
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Sprache
Verlagsort
Zielgruppe
Maße
Höhe: 216 mm
Breite: 140 mm
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ISBN-13
978-1-4704-7256-6 (9781470472566)
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Schweitzer Klassifikation
Giancarlo Travaglini Universita di Milano-Bicocca, Italy.
Integer points, polygons, and polyhedra
Simpson's paradox, Farey sequences, and Diophantine approximation
A coin problem and generating functions
Pythagorean triples and sums of squares
Benford's law, uniform distribution and normal numbers
Sums and integrals
Index
