Análisis Matemático II

La idea instintiva de límite forma parte del saber popular. Tender a un límite significa aproximarse a una meta, que no siempre se logra alcanzar. En el ámbito matemático, esta idea se ha plasmado en una definición precisa que combina los conceptos de lo infinitamente pequeño (infinitésimos) y lo infinitamente grande (el infinito). Intuitivamente se dice que una función f(x) tiene límite L en el punto x = x 0 , si es posible aproximar los valores de f(x) a L tanto como se quiera cuando x se acerca indefinidamente a x 0 , siendo x distinto de x 0. En términos matemáticos, se expresa como:

Análisis Matemático 2ed apostol

Byzantine historiography owes largely to Professor Paul Magdalino. He is known mainly for his monograph on Manuel I Komnenos and his reign, winner of the 1993 Runciman Award, in which he refuted the negative view that Niketas Choniates expressed on this king and his era. Paul Magdalino has also published extensively on Constantinople and on aspects of religion, science and the occult in Byzantium, evidenced by the over ten collective volumes edited by him, some with the help of worthy collaborators, and his fifty contributions to books and collected studies’ volumes. His numerous papers focus on Byzantine authors and their works, the social ideals of the aristocracy, institutional aspects of Byzantium, but also on art, seen mainly through literary descriptions. His diverse interests, as he admits, derived partly from his early engagement with late byzantine Thessaly, when the principalities of the region were seeking connections with other provincial power centers, as well as with the capital Constantinople after the dissolution of the old mighty empire. Indeed, Paul Magdalino's Ph.D. thesis, titled The History of Thessaly (1266-1393), written and defended at the University of Oxford in 1976, and his study titled “Between Romaniae: Thessaly and Epirus in the Later Middle Ages”, published in the Mediterranean Historical Review 4/1 (1989), pp. 87-110, have since become essential tools for any scholar who studies Thessaly and Epirus in the period before the Ottoman conquest. For these reasons, the international conference on “Byzantine Thessaly, Twelfth – Fourteenth Centuries” pays tribute to Paul Magdalino. The Conference, both in person and online, will be hosted by the Diachronic Museum of Larissa and it will take place in the early fall of 2023. The organizing committee gladly welcomed papers about the history and archaeology of Thessaly during the late Komnenian and the Palaiologan periods.

2024