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Patterns in Prime Numbers: The Quadratic Reciprocity Law

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Mathematical Masterpieces

Part of the book series: Undergraduate Texts in Mathematics ((READINMATH))

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Abstract

The ancient Greek philosopher Empedocles (c. 495-c. 435 b.c.e.) postulated that all known substances are composed of four basic elements: air, earth, .re, and water. Leucippus (.fth century b.c.e.) thought that these four were indecomposable. And Aristotle (384-322 b.c.e.) introduced four properties that characterize, in various combinations, these four elements: for example, .re possessed dryness and heat.

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Knoebel, A., Lodder, J., Laubenbacher, R., Pengelley, D. (2007). Patterns in Prime Numbers: The Quadratic Reciprocity Law. In: Mathematical Masterpieces. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-33062-4_4

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