On the intermediate value theorem over a non-Archimedean field
The paper investigates general properties of the power series over a non- Archimedean ordered field, extending to the set of algebraic power series the intermediate value theorem and Rolle's theorem and proving that an algebraic series attains its maximum and its minimum in every closed interv...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Università degli Studi di Catania
2013-11-01
|
Series: | Le Matematiche |
Subjects: | |
Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/1075 |