spur是促进激励鼓舞.差不多和inspire含义相当.

spur可做名词和动词.

further是促进增加推动.所以说further the study.

而further则是形容词、动词和副词.

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spur后可加on

spur 还有鞭策的意思.就是精神上支持.

例句：He spurred his players to fight harder.

他激励他的球员更加努力地战斗.

further 就是促进增长.并没有spur精神鼓舞的含义.

例句：He did his best to further the interests of his state.

他尽力(或倾全力)去增进他的州的利益

farther与further在词义和用法上有什么区别？

far—farther—farthest
far—further—furtherst
但是它们在词义和用法上却有不小的区别。farther一般只用于表示有形距离的“较远”、“更远”：
1. On the farther side of the steet there was a large shop. 在街的那一边有一家大商店。
2. We can't go any farther without a rest. 我们不休息就不能再走了。
farther既可表示有形距离的“较远”、“更远”（A），还可表示“更多的”；“另一些”；“进一步的”；“而且”；“此外”等等（B）：
A. 1. There is a cottage on the further side of the hill. 在小山的那一边有一个茅舍。
2. It turned out a further distance than he had imagined. 原来距离比他想象的要远。
3. It's not safe to go any further. 再往远走，就不安全了。
2. We intend to stay for a further two months. 我们打算再停留两个月。
3. If you need further information, I suggest you go to the library. 如果你需要进一步的资料，我建议你去图书馆查查。
4. The school will be closed until further notice. 学校将关闭，开学时间另行通知。
5. We'll enquire further into this question tomorrow. 明天我们将进一步调查这个问题。