The High Middle Ages brought a huge increase in the study of mathematics and in the abilities of mathematicians because of the introduction of practices developed in Islamic countries in the East and introduced to Europe primarily through Spain. These included the use of Arabic numerals, which replaced the very clunky Roman system and remain in use today. Algebra was developed by Islamic people, as was algebraic geometry, from its rudimentary beginnings in Greece. These developments, and others, made it possible for Medieval mathematicians to do easily what Roman mathematicians had not dreamed of, and engineering developed as a result.
During the High Middle Ages, universities started to open, and these really got into full swing in the Late Middle Ages. It was during the time of transition from the one to the other that the first secular degrees, such as degrees in mathematics, were offered. The development of such subjects as astronomy, in the Late Middle Ages and Renaissance, depended to a large extent on work done in this time.
Please see the link below.
Probably the biggest advance in math in medieval Europe was the adoption of Arabic numerals. The profound effect of this is difficult to imagine, and has been largely forgotten as we take them for granted.
* Priests
* Royal Astronomer
* Anyone involved in feeding people or supplying troops
* Tax collectors
To calculate. The same things we use mathematics for nowadays.
YES
the middle ages
The predominant staircase design in the Middle Ages was the spiral design for stairs. Spiral stairs were used from the medieval ages and are still used in many modern houses.
The hammer and sickle were used in the middle ages for a variety of different tasks. Both items were used to pound things into the ground and to cut grain.
they were used to grow apples.
Castles in the Middle Ages were used to keep out enemies.
See the question: What are some weapons used in the middle ages?
In the Middle Ages
people in the middle ages used letters or talking to face to face
because they used wood smoke as a deorderant in the middle ages
knights
YES
to entertain
It was used in the middle ages by monks!
Yes, polyphony was used during the Middle Ages. We do not have any real idea of when polyphony was introduced, but the earliest texts describing it date to the Early Middle Ages. By the end of the Middle Ages, it was highly developed. There is a link below to an article on polyphony, beginning at the section on its origins.
the middle ages
The predominant staircase design in the Middle Ages was the spiral design for stairs. Spiral stairs were used from the medieval ages and are still used in many modern houses.