Are there any remaining existant texts that describe the styles and techniques of Medieval European swordsmanship?

Question

We have, in the modern day, no shortage of movies which feature characters from the Medieval period of European history engaged in combat, with swords, cavalry, and arrows. Do we have any historical documentation that describes the way that such a character may have trained and fought with his weapons, on an individual scale (i.e., not concerned with large scale combat, but more focused on training and single combat)?

Answer 1

This is by no means an extensive list but it should provide you with a sense of what is available if you wish to keep digging.

The following was recommended to me when I took an interest in fencing:

https://archive.org/details/Medieval_Combat_A_15th_C_Illustrated_Manual_of_Sword_Fighting_and_Close-Quarter_

The second will give you a wider range of texts and styles to consider, from the Renaissance through the Early-Modern:

http://www.thearma.org/manuals.htm#.XIujbCgzZPa