Leviathan talks about humans, their emotions, their desires, their wants and most importantly it covers the political aspect of human being's life.
Hobbes deals with the political side of life. It is close to political side of life. It is close to political philosophy. A human goes through different phases and emotions like love, hate, aversions, and endeavor. People have similar wants which leads to hatred among them and creates enmity. Fighting is not only in the Warfield but also inside the human mind. It is not possible to read other people's mind. So, we cannot control their behavior and no laws can be imposed on it which makes it more difficult for the human beings to live life freely.
A man has his own rights to do things. These are governed by his won reasons. He says that there are two laws of nature. First is to seek peace and follow that path and second is to defend ourselves.
Thomas Hobbes
Image taken from page 83 of 'The English Works of ...
History of Political PhilosophyThe second one is more preferred by people. The people who love liberty live in commonwealth. They do this to get out of the miserable condition that they are going through. People should have common power to defend them from invasion and injuries. This is more of consent.
Hobbes finally talks about sovereign power which can be attained by natural force or by war. He then talks about bonds and promises. Hence, we can state that it is a political philosophy that is concerned with mechanistic materialism, human motion, psychological egoism, natural justice, social contract and liberty.
I really enjoyed going through it and I think we can relate to the present situation from "leviathan". There is war, disagreement among countries and government going and Hobbes says that by doing this we are merely defending ourselves, our second law. We'd rather die than seek peace and solace. However Hobbes doesn't provide any solution to the existing problem, but I guess that is to be solved by the men with the power.