Chapter 7: Some roots and paths in the fractional calculus developing environment

Luis Vázqueza,c; M. Pilar Velascob; David Useroa,c; J. Luis Vázquez-Polettia; Salvador Jiménezb    aUniversidad Complutense de Madrid, Madrid, SpainbUniversidad Politécnica de Madrid, Madrid, SpaincInstituto de Matemática Interdisciplinar, Madrid, Spain

Abstract

The notion of real numbers arose from the use of common fractions by the Egyptians around 1000 BCE. The development of the notion continued with the contributions of the Greeks, who proclaimed the existence of irrational numbers. The real numbers are the stone brick of Mathematics, which include the natural and integer numbers, as well as the rational and irrational numbers. The natural and integer numbers ...

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