What is the contrast between John Calvin an Jacobus Arminius?

Answer 1

Assuming you mean doctrinal contrasts, there is a set of five principles which were the focal point of doctrinal division between Calvinists and Arminians. They are known as TULIP for their abbreviation (or ULTIP in their usual order). They are the principles of:
Unconditional election,
Limited atonement,
Total depravity,
Invincible grace,
Perseverance of the saints.

Arminians deny these principles; Calvinists believe them to be biblical. They (and their biblical basis) are explained very thoroughly in the Canons of Dort.

The Canadian Reformed Churches (of which I am a member) subscribes to the Canons of Dort as one of the faithful summaries of Scripture. In my experience, discussions of individual aspects of these positions can get theologically deep and emotionally heated fairly quickly. They are also hard to get your mind around. An error will often sound right until you understand what it means.

Jakob (or James) Arminius was a minister of the Reformed Church in Holland lived from 1560 to 1609. John Calvin lived in Switzerland and France from 1509 to 1564. So as persons they barely overlapped, and wouldn't ever have communicated together. I hope this helps