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11 de jun. de 2024 · God Created The Integers - Stephen Hawking 2007-10-09 Looks at landmark mathematical discoveries over the past 2,500 years by such mathematicians as Euclid, Isaac Newton, Pierre
Hace 2 días · Euler invented the totient function φ(n), the number of positive integers less than or equal to the integer n that are coprime to n. Using properties of this function, he generalized Fermat's little theorem to what is now known as Euler's theorem.
2 de jul. de 2024 · In antiquity, Pythagoras was credited with many mathematical and scientific discoveries, including the Pythagorean theorem, Pythagorean tuning, the five regular solids, the Theory of Proportions, the sphericity of the Earth, and the identity of the morning and evening stars as the planet Venus.
Hace 6 días · God Created the Integers is an illuminating anthology that traces the evolution of mathematical thought over 2500 years. This comprehensive collection features seminal works from renowned mathematicians like Euclid, Georg Cantor, Kurt Gödel, Augustin Cauchy, Bernard Riemann, and Alan Turing, showcasing their groundbreaking discoveries and ...
Hace 4 días · But the creation of zero as a number in its own right, which evolved from the placeholder dot symbol found in the Bakhshali manuscript, was one of the greatest breakthroughs in the history of mathematics.
25 de jun. de 2024 · Rational numbers were easy to define in terms of the integers, but now integers could be defined by means of sets. One way was given by Frege in Die Grundlagen der Arithmetik (1884; The Foundations of Arithmetic ).
25 de jun. de 2024 · Most of the powerful abstract mathematical theories in use today originated in the 19th century, so any historical account of the period should be supplemented by reference to detailed treatments of these topics.
