Difference between 兵法 vs 武術 The classic text "兵法" is usually translated as "The Art of War", but doesn't  "武術" also literally mean "art of war"?

My (not very long) experience with chinese language makes me believe that if there are two characters with the same english translation then almost always there are nuances of their meaning or usage.  

So are there more precise translations for "兵法" and "武術"?

My guess is that since "兵"'s first meaning is a "soldier" and "法" is more like a "rule", "兵法" relates to the way you should organize your troops, learn about your enemy to prepare for battle etc, more like a "management of the army"; while "武術" actually means "the art of battling", "the art of fighting on the battle field". So that when the "兵法" part is done, you can use your "武術" to beat the enemy.
兵法 Art of War


用兵作戰的策略和方法。
strategies and methods of warfare.
兵書。
military books, which discuss the strategies and methods of warfare.


武術 Martial Arts


軍事技術。
military technology.
中國民族體育之一 (one of the Chinese traditional sports.)。
如：太極拳 (tài-ji-quán, shadow-boxing)、劍術 (fencing)、刀術 (broadsword play)、槍術 (spear play, joust)、棍術 (stick/cudgel play)。 


兵法 is usually related to the country.
武術 is more personal.



Some user posted the following comment.



I found the following information on the Web.

《影響世界的中國元素--中國功夫》



《中华青少年成长必读集萃——万事由来》



《揭秘万物由来之谜》