Turning Points in the History of Mathematics by Hardy Grant & Israel Kleiner

Author:Hardy Grant & Israel Kleiner
Language: eng
Format: epub
Publisher: Springer New York, New York, NY

Leonhard Euler (1707–1783)

Rigor aside, Euler had taken the audacious step of introducing complex numbers into number theory—the study of the positive integers. “A momentous event had taken place”, declared André Weil (1906–1998) , adding: “Algebraic numbers had entered number theory—through the back door” [18, p. 242]. (An “algebraic number” is a complex number which is a root of a polynomial with integer coefficients.) While Euler had earlier wedded number theory to analysis [5, 18], he now linked number theory with algebra. This bridge-building would prove most fruitful in the following century .

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