Mathematics is an independent scientific discipline with many parallels and constant interactions with various other sciences. Mathematics proved impossible to ignore in any scientific discipline where a certain level of accuracy is involved. For example, the spectacular advances in molecular biology have not only inspired biologists but also many great mathematicians, resulting in a fascinating interaction. This has created many new research fields, both in mathematics and in biology.
However, pure mathematics without applications in science and technology - how great they may be - in itself has existence. Sometimes applications are also very indirect and unexpected: some branches of pure mathematics (such as number theory and finite geometry) appear very useful for practical applications such as encoding and decoding.
Mathematics is in fact long been one of the most fundamental manifestations of man's efforts to better understand the world. Therefore, it remains an essential element of the culture we transmit to future generations.