The Name Takeda in Chinese / Japanese...

大東流合気柔術 is Daitō-ryū Aiki-jūjutsu, a Japanese martial art established by Takeda Sōkaku.

The most famous student of Daitō-ryū Aiki-jūjutsu is Morihei Ueshiba who later founded the school or branch of martial arts known as Aikido.

Note: 大東流合気柔術 can also be romanized as Daito-ryu Aiki-Jujutsu, Daitou-ryuu Aiki-Juujutsu or Daito-ryu Aiki-Jujitsu.

風林火山 is the battle strategy and proverb of Japanese feudal lord Takeda Shingen (1521-1573 A.D.).

This came from the Art of War by Chinese strategist and tactician Sun Tzu (Sunzi).

You can think of this as a sort of abbreviation to remind officers and troops how to conduct battle.

風林火山 is literally a word list: Wind, Forest, Fire, Mountain.

The more expanded meaning is supposed to be...

"Swift as the wind, quiet as the forest, fierce as fire, and immovable as a mountain"

"As fast as the wind, as quiet as the forest, as daring as fire, and immovable as the mountain"

"Move as swift as the wind, stay as silent as a forest, attack as fierce as fire, undefeatable defense like a mountain"

"Move swiftly like the wind, stay silent like the forest, attack fiercely like fire, take tactical position on the mountain"

See Also:  Art of War

武田 is a Japanese surname that romanizes as Takeda.

This can also be the Japanese surnames Muta, Tageta, Takedo, or Taketa.

竹田 is a Japanese surname that romanizes as Takeda.

In Chinese, this can refer to Chutien township in Pingtung County, Taiwan.

Other Japanese romanizations for this name include Chikuden, Chikuda, Taketa, or Okamura.